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Variability of entropy force and its coupling with electrostatic and steric hindrance interactions J. Stat. Mech. (IF 2.4) Pub Date : 2024-04-17 S Zhou
We investigated the effective interaction potential (EIP) between charged surfaces in solvent comprised of dipole dimer molecules added with a certain amount of ionic liquid. Using classical density functional theory, the EIP is calculated and decoupled into entropic and energy terms. Unlike the traditional Asakura–Oosawa (AO) depletion model, the present entropic term can be positive or negative,
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Collision-aware deflection model for boundary-constrained intersecting pedestrian streams J. Stat. Mech. (IF 2.4) Pub Date : 2024-04-17 Zhonghao Zhan, Weiguo Song, Jun Zhang
We propose a new model of boundary-constrained intersecting pedestrian flow based on the collision-free velocity model, named the collision-aware deflection model (CADM). The movement of pedestrians in the new model depends on the positions and velocities of other pedestrians ahead. A pedestrian walks in the desired direction at a free speed until an obstacle appears in the desired direction. When
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Behavioral patterns of children during emergency evacuations: a comparative analysis of experimental observations and simulation results J. Stat. Mech. (IF 2.4) Pub Date : 2024-04-17 Liang Chen, Chen Qiao, Jian Zhang, Chuan-Zhi (Thomas) Xie, Tie-Qiao Tang, Yanyan Chen
This study investigates the behavioral patterns of children during emergency evacuations through a dual approach comprising controlled experimental evacuations within a classroom and computational modeling via a cellular automaton (CA) model. Observations from the experiments reveal several characteristic behaviors among children, including preferences for destinations, the impact of obstacles on their
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Entropic relations for indistinguishable quantum particles J. Stat. Mech. (IF 2.4) Pub Date : 2024-04-09 Marius Lemm
The von Neumann entropy of a k-body-reduced density matrix γ k quantifies the entanglement between k quantum particles and the remaining ones. In this paper, we rigorously prove general properties of this entanglement entropy as a function of k; it is concave for all 1⩽k⩽N and non-decreasing until the midpoint k⩽⌊N/2⌋ . The results hold for indistinguishable quantum particles and are independent of
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Optimal finite-differences discretization for the diffusion equation from the perspective of large-deviation theory J. Stat. Mech. (IF 2.4) Pub Date : 2024-04-08 Naftali R Smith
When applying the finite-differences method to numerically solve the one-dimensional diffusion equation, one must choose discretization steps Δx, Δt in space and time, respectively. By applying large-deviation theory on the discretized dynamics, we analyze the numerical errors due to the discretization, and find that the (relative) errors are especially large in regions of space where the concentration
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Evolutionary accessibility of random and structured fitness landscapes J. Stat. Mech. (IF 2.4) Pub Date : 2024-04-03 Joachim Krug, Daniel Oros
Biological evolution can be conceptualized as a search process in the space of gene sequences guided by the fitness landscape, a mapping that assigns a measure of reproductive value to each genotype. Here, we discuss probabilistic models of fitness landscapes with a focus on their evolutionary accessibility, where a path in a fitness landscape is said to be accessible if the fitness values encountered
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Coalescent processes emerging from large deviations J. Stat. Mech. (IF 2.4) Pub Date : 2024-04-03 Ethan Levien
The classical model for the genealogies of a neutrally evolving population in a fixed environment is due to Kingman. Kingman’s coalescent process, which produces a binary tree, emerges universally from many microscopic models in which the variance in the number of offspring is finite. It is understood that power-law offsprings distributions with infinite variance can result in a very different type
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Universality in coupled stochastic Burgers systems with degenerate flux Jacobian J. Stat. Mech. (IF 2.4) Pub Date : 2024-03-28 Dipankar Roy, Abhishek Dhar, Konstantin Khanin, Manas Kulkarni, Herbert Spohn
In our contribution we study stochastic models in one space dimension with two conservation laws. One model is the coupled continuum stochastic Burgers equation, for which each current is a sum of quadratic nonlinearities, linear diffusion, and spacetime white noise. The second model is a two-lane stochastic lattice gas. As distinct from previous studies, the two conserved densities are tuned such
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Dynamics of inertial particles under velocity resetting J. Stat. Mech. (IF 2.4) Pub Date : 2024-03-27 Kristian Stølevik Olsen, Hartmut Löwen
We investigate stochastic resetting in coupled systems involving two degrees of freedom, where only one variable is reset. The resetting variable, which we think of as hidden, indirectly affects the remaining observable variable via correlations. We derive the Fourier–Laplace transforms of the observable variable’s propagator and provide a recursive relation for all the moments, facilitating a comprehensive
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Epidemic process on partially overlapped multi-layer networks J. Stat. Mech. (IF 2.4) Pub Date : 2024-03-27 Xin Jiang, Quanyi Liang
The phenomenon of epidemic spread has received continuous attention due to its profound applications in a wide range of social and economic activities. In this paper we propose a partially overlapped multi-layer network model and illustrate the influence of multi-layer structure on outbreaks. Combined with the classic SIS model, we propose a set of discrete Markov equations and make first-order approximation
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Dynamical theory of topological defects II: universal aspects of defect motion J. Stat. Mech. (IF 2.4) Pub Date : 2024-03-27 Jacopo Romano, Benoît Mahault, Ramin Golestanian
We study the dynamics of topological defects in continuum theories governed by a free energy minimization principle, building on our recently developed framework (Romano et al 2023 J. Stat. Mech. 083211). We show how the equation of motion of point defects, domain walls, disclination lines and any other singularity can be understood with one unifying mathematical framework. For disclination lines,
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The impact of effective participation in stopping misinformation: an approach based on branching processes J. Stat. Mech. (IF 2.4) Pub Date : 2024-03-26 Luz Marina Gomez, Valdivino V Junior, Pablo M Rodriguez
The emergence of research that focuses on understanding the spreading and impact of disinformation is increasing year after year. Most of the time, the purpose of those who start the spreading of intentionally false information that is designed to cause harm is to catalyze its fast transformation into misinformation, which is the false content shared by people who do not realize it is false or misleading
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Exact asymptotics of long-range quantum correlations in a non-equilibrium steady state J. Stat. Mech. (IF 2.4) Pub Date : 2024-03-25 Shachar Fraenkel, Moshe Goldstein
Out-of-equilibrium states of many-body systems tend to evade a description by standard statistical mechanics, and their uniqueness is epitomized by the possibility of certain long-range correlations that cannot occur in equilibrium. In quantum many-body systems, coherent correlations of this sort may lead to the emergence of remarkable entanglement structures. In this work, we analytically study the
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How a student becomes a teacher: learning and forgetting through spectral methods J. Stat. Mech. (IF 2.4) Pub Date : 2024-03-22 Lorenzo Giambagli, Lorenzo Buffoni, Lorenzo Chicchi, Duccio Fanelli
In theoretical machine learning, the teacher–student paradigm is often employed as an effective metaphor for real-life tuition. A student network is trained on data generated by a fixed teacher network until it matches the instructor’s ability to cope with the assigned task. The above scheme proves particularly relevant when the student network is overparameterized (namely, when larger layer sizes
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Classical stochastic approach to quantum mechanics and quantum thermodynamics J. Stat. Mech. (IF 2.4) Pub Date : 2024-03-22 Mário J de Oliveira
We derive the equations of quantum mechanics and quantum thermodynamics from the assumption that a quantum system can be described by an underlying classical system of particles. Each component φ j of the wave vector is understood as a stochastic complex variable whose real and imaginary parts are proportional to the coordinate and momentum associated with a degree of freedom of the underlying classical
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Calculating the Coulomb blockade phase diagram in the strong coupling regime of a single-electron transistor: a quantum Monte Carlo study J. Stat. Mech. (IF 2.4) Pub Date : 2024-03-21 Pipat Harata, Wipada Hongthong, Prathan Srivilai
We present a novel approach for calculating the Coulomb blockade phase diagram (CBPD) in the experimentally accessible strong coupling regime of a single-electron transistor. Our method utilizes the path integral Monte Carlo technique to accurately compute the Coulomb oscillation of the differential capacitance (DC). Furthermore, we investigate the impact of the gate voltage and temperature variations
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Pulsed interactions unify reaction–diffusion and spatial nonlocal models for biological pattern formation J. Stat. Mech. (IF 2.4) Pub Date : 2024-03-19 Eduardo H Colombo, Ricardo Martinez-Garcia, Justin M Calabrese, Cristóbal López, Emilio Hernández-García
The emergence of a spatially organized population distribution depends on the dynamics of the population and mediators of interaction (activators and inhibitors). Two broad classes of models have been used to investigate when and how self-organization is triggered, namely reaction–diffusion and spatially nonlocal models. Nevertheless, these models implicitly assume smooth propagation scenarios, neglecting
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Violation of detailed balance in microwave circuits: theory and experiment J. Stat. Mech. (IF 2.4) Pub Date : 2024-03-19 Alexandre Dumont, Pierre Février, Christian Lupien, Bertrand Reulet
We propose an approach to detailed balance violation in electrical circuits based on the scattering matrix formalism commonly used in microwave electronics. This allows us to easily include retardation effects, which are paramount at high frequencies. We define the spectral densities of phase space angular momentum, heat transfer and cross power, which can serve as criteria for detailed balance violation
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Hydrodynamic correlation and spectral functions of perfect cubic crystals J. Stat. Mech. (IF 2.4) Pub Date : 2024-03-18 Joël Mabillard, Pierre Gaspard
We investigate the collective dynamics of the perfect cubic crystal by deriving from the hydrodynamic equations the time-dependent correlation and the spectral functions characterizing the fluctuations of mass and momentum densities. We show that the seven hydrodynamic modes of the perfect crystal can be identified from the resonances of these spectral functions. The comparison with those of a fluid
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Elastic and transport coefficients of the perfect hard-sphere crystal from the poles of the hydrodynamic spectral functions J. Stat. Mech. (IF 2.4) Pub Date : 2024-03-18 Joël Mabillard, Pierre Gaspard
The elastic and transport coefficients of a perfect face-centered cubic crystal of hard spheres are computed from the poles of the dynamic structure factor and of the spectral functions of transverse momentum density fluctuations. For such crystals, the relevant coefficients are the three isothermal elastic constants (C11T,C12T,C44T) , the heat conductivity κ, and the three viscosities (η11,η12,η44)
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Characteristics of pedestrian evacuation from narrow seated area considering exit failure: experimental and simulation results J. Stat. Mech. (IF 2.4) Pub Date : 2024-03-18 Xiangmin Hu, Tao Chen, Jianyu Wang, Xiang Liu, Meng Li, Zhanhui Sun
Narrow seated spaces with multiple exits are prevalent structures in public buildings, underscoring the paramount importance of facilitating swift evacuation in such constrained environments. In this study, we first conducted evacuation experiments in a realistic narrow seated area. By manipulating different availability conditions for two exits located at the ends of the long aisle, we studied the
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Exact steady states of the impurity-doped XXZ spin chain coupled to dissipators J. Stat. Mech. (IF 2.4) Pub Date : 2024-03-18 Chihiro Matsui, Naoto Tsuji
We give an exact matrix product steady state and matrix product forms of local observables for the bulk impurity-doped XXZ spin model coupled to dissipators at both ends, whose dynamics is described by the Lindblad quantum master equation. We find that local magnetization is induced at the impurity site when the spin current flows, which is contrary to the usual situation where the current suppresses
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Stochastic thermodynamics of Brownian motion in temperature gradient J. Stat. Mech. (IF 2.4) Pub Date : 2024-03-18 Mingnan Ding, Jun Wu, Xiangjun Xing
We study stochastic thermodynamics of a Brownian particle which is subjected to a temperature gradient and is confined by an external potential. We first formulate an over-damped Ito-Langevin theory in terms of local temperature, friction coefficient, and steady state distribution, all of which are experimentally measurable. We then study the associated stochastic thermodynamics theory. We analyze
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Spin Drude weight for the integrable XXZ chain with arbitrary spin J. Stat. Mech. (IF 2.4) Pub Date : 2024-03-18 Shinya Ae, Kazumitsu Sakai
Using generalized hydrodynamics (GHD), we exactly evaluate the finite-temperature spin Drude weight at zero magnetic field for the integrable XXZ chain with arbitrary spin and easy-plane anisotropy. First, we construct the fusion hierarchy of the quantum transfer matrices (T-functions) and derive functional relations (T- and Y-systems) satisfied by the T-functions and certain combinations of them (Y-functions)
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Thermal transitions in a one-dimensional, finite-size Ising model J. Stat. Mech. (IF 2.4) Pub Date : 2024-03-11 Varazdat Stepanyan, Andreas F Tzortzakakis, David Petrosyan, Armen E Allahverdyan
We revisit the one-dimensional ferromagnetic Ising spin chain with a finite number of spins and periodic boundaries, deriving analytically and verifying numerically its various stationary and dynamical properties at different temperatures. In particular, we determine the probability distributions of magnetization, the number of domain walls, and the corresponding residence times for different chain
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Space-like asymptotics of the thermal two-point functions of the XXZ spin-1/2 chain J. Stat. Mech. (IF 2.4) Pub Date : 2024-03-06 Frank Göhmann, Karol K Kozlowski
This work proposes a closed formula for the leading term of the large-distance and long-time asymptotics in a cone of the space-like regime for the transverse dynamical two-point functions of the XXZ spin 1/2 chain at finite temperatures. The result follows from a simple analysis of the thermal form factor series for dynamical correlation functions. The obtained leading asymptotics are driven by the
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Form factors of the tricritical three-state Potts model in its scaling limit J. Stat. Mech. (IF 2.4) Pub Date : 2024-03-05 Giuseppe Mussardo, Marco Panero, Andrea Stampiggi
We compute the form factors of the order and disorder operators, together with those of the stress–energy tensor, of a two-dimensional three-state Potts model with vacancies along its thermal deformation at the critical point. At criticality, the model is described by the non-diagonal partition function of the unitary minimal model M6,7 of conformal field theories and is accompanied by an internal
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Mesoscopic impurities in generalized hydrodynamics J. Stat. Mech. (IF 2.4) Pub Date : 2024-03-05 Friedrich Hübner
This study focuses on the impurities in integrable models from the viewpoint of generalized hydrodynamics (GHD). An impurity can be thought of as a boundary condition for the GHD equation, relating the states on the left and right sides. It was found that, in interacting models, it is not possible to disentangle the incoming and outgoing states, which means that it is not possible to think of scattering
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Connecting the unstable region of the entropy to the pattern of the Fisher zeros map J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-29 J C S Rocha, B V Costa
Phase transitions are one of the most interesting natural phenomena. For finite systems, one of the concerns in the topic is how to classify a specific transition as a being of first, second, or even of a higher order according to the Ehrenfest classification. The partition function provides all the thermodynamic information about the physical systems, and a phase transition can be identified using
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Thermodynamic precision of a chain of motors: the difference between phase and noise correlation J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-27 G Costantini, A Puglisi
Inspired by recent experiments on fluctuations of flagellar beating in sperm and C. reinhardtii, we investigate the precision of phase fluctuations in a system of nearest-neighbor-coupled molecular motors. We model the system as a Kuramoto chain of oscillators with a coupling constant k and noisy driving. The precision p is a Fano-factor-like observable, which obeys the thermodynamic uncertainty relation
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The effect of lookahead on phase transition in migration of three species with cyclic predator–prey relations J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-27 O Kayacan, M Middendorf
A three-species predator–prey system with cyclic predator–prey relations (also called the rock–paper–scissors game) on a one-dimensional lattice where all individuals migrate in the same direction is studied. Each individual can look ahead within a certain range and can stop its migration when too many predators occur within its lookahead range. Simulation experiments revealed that the three species
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Modified Verhulst–Solow model for long-term population and economic growth J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-27 Iram Gleria, Sergio DaSilva, Leon Brenig, Tarcísio M Rocha Filho, Annibal Figueiredo
In this study, we analyze the relationship between human population growth and economic dynamics. To do so, we present a modified version of the Verhulst model and the Solow model, which together simulate population dynamics and the role of economic variables. The model incorporates support and foraging functions, which participate in the dynamic relationship between population growth and the creation
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Mobility and diffusion of intruders in granular suspensions: Einstein relation J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-26 Rubén Gómez González, Vicente Garzó
The Enskog kinetic equation is considered to determine the diffusion D and mobility λ transport coefficients of intruders immersed in a granular gas of inelastic hard spheres (grains). Intruders and grains are in contact with a thermal bath, which plays the role of a background gas. As usual, the influence of the latter on the dynamics of intruders and grains is accounted for via a viscous drag force
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Strategy revision phase with payoff threshold in the public goods game J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-21 Marco Alberto Javarone, Shaurya Pratap Singh
Commonly, the strategy revision phase in evolutionary games relies on payoff comparison. Namely, agents compare their payoff with the opponent, assessing whether changing strategy can be potentially convenient. Even tiny payoff differences can be crucial in this decision process. In this work, we study the dynamics of cooperation in the public goods game, introducing a threshold ε in the strategy revision
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An experimental study of pedestrian bidirectional flow through bottlenecks J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-21 Xinmiao Jia, Nan Jiang, Ping Zhang, Maoyu Li, Hanchen Yu, Xiaoyu Ju, Lizhong Yang
Pedestrian flow passing through bottlenecks is complex, particularly for opposite movement in a room with a single doorway. These bidirectional flows would always cause congestion and further reduce traffic efficiency so the ‘Disembarking precedes embarking’ rule is widely used in the actual management of public spaces. However, the impact of the imbalance of the bidirectional movement of pedestrian
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A simple probabilistic neural network for machine understanding J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-20 Rongrong Xie, Matteo Marsili
We discuss the concept of probabilistic neural networks with a fixed internal representation being models for machine understanding. Here, ‘understanding’ is interpretted as the ability to map data to an already existing representation which encodes an a priori organisation of the feature space. We derive the internal representation by requiring that it satisfies the principles of maximal relevance
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Extremal statistics for first-passage trajectories of drifted Brownian motion under stochastic resetting J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-19 Wusong Guo, Hao Yan, Hanshuang Chen
We study the extreme value statistics of first-passage trajectories generated from a one-dimensional drifted Brownian motion subject to stochastic resetting to the starting point with a constant rate r. Each stochastic trajectory starts from a positive position x 0 and terminates whenever the particle hits the origin for the first time. We obtain an exact expression for the marginal distribution Pr(M|x0)
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Brownian oscillator with time-dependent strength: a delta function protocol J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-19 Alex V Plyukhin
We consider a classical Brownian oscillator of mass m driven from an arbitrary initial state by varying the stiffness k(t) of the harmonic potential according to the protocol k(t)=k0+aδ(t) , involving the Dirac delta function. The microscopic work performed on the oscillator is shown to be W=(a2/2m)q2−aqv , where q and v are the coordinate and velocity in the initial state. If the initial distribution
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Hydrodynamic properties of the perfect hard-sphere crystal: microscopic computations with Helfand moments J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-15 Joël Mabillard, Pierre Gaspard
Within the framework of the local equilibrium approach, the equilibrium and nonequilibrium properties relevant to the hydrodynamics of the perfect hard-sphere crystal were obtained through molecular dynamics simulations using the Helfand moments associated with momentum and energy transport. Because this crystal is face-centered cubic, the hydrodynamic properties we considered were hydrostatic pressure
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The ghost algebra and the dilute ghost algebra J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-13 Madeline Nurcombe
We introduce the ghost algebra, a two-boundary generalisation of the Temperley–Lieb (TL) algebra, using a diagrammatic presentation. The existing two-boundary TL algebra has a basis of string diagrams with two boundaries, and the number of strings connected to each boundary must be even; in the ghost algebra, this number may be odd. To preserve associativity while allowing boundary-to-boundary strings
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The physical mechanism of stochastic calculus in random walks J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-13 Chern Lee, Hai Ye, Hui Li
Stochastic differential equations (SDEs) play an important role in fields ranging from physics and biology to economics. The interpretation of stochastic calculus in the presence of multiplicative noise continues to be an open question. Commonly, the choice of stochastic calculus rules is largely based on empirical knowledge and lacks quantitative substantiation. In this study, we introduce a functional
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Constructing universal phenomenology for biological cellular systems: an idiosyncratic review on evolutionary dimensional reduction J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-13 Kunihiko Kaneko
The possibility of establishing a macroscopic phenomenological theory for biological systems, akin to the well-established framework of thermodynamics, is briefly reviewed. We introduce the concept of an evolutionary fluctuation–response relationship, which highlights the tight correlation between the variance in phenotypic traits caused by genetic mutations and by internal noise. We provide a distribution
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Critical and tricritical singularities from small-scale Monte Carlo simulations: the Blume–Capel model in two dimensions J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-12 Leïla Moueddene, Nikolaos G Fytas, Yurij Holovatch, Ralph Kenna, Bertrand Berche
We show that accurate insights into the critical properties of the Blume–Capel model at two dimensions can be deduced from Monte Carlo simulations, even for small system sizes, when one analyses the behaviour of the zeros of the partition function. The phase diagram of the model displays a line of second-order phase transitions ending at a tricritical point, then a line of first-order transitions.
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Effect of network topologies and attacking strategies on cascading failure model with power-law load redistribution J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-09 Yiran Xie, Tingyu Wang, Bo Yang
Various traffic networks play an important role in daily life and have different topological characteristics such as small-world and scale-free. The factors of traffic congestion, natural disasters and traffic accidents may induce cascading failure in which the load redistribution usually has the characteristic of power-law (that is to say, when a station is broken, the great majority of passengers
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Prethermalization in an open quantum system coupled to a spatially correlated bosonic bath J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-09 Saptarshi Saha, Rangeet Bhattacharyya
A nearly-integrable isolated quantum many-body system reaches a quasi-stationary prethermal state before a late thermalization. Here, we revisit a particular example in the settings of an open quantum system (OQS). We consider a collection of non-interacting atoms coupled to a spatially correlated bosonic bath characterized by a bath correlation length. Our result implies that the integrability of
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Stretched exponential to power-law: crossover of relaxation in a kinetically constrained model J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-09 Sukanta Mukherjee, Puneet Pareek, Mustansir Barma, Saroj Kumar Nandi
The autocorrelation function in many complex systems shows a crossover in the form of its decay: from a stretched exponential relaxation (SER) at short times to a power law at long times. Studies of the mechanisms leading to such multiple relaxation patterns are rare. Additionally, the inherent complexity of these systems makes it hard to understand the underlying mechanism leading to the crossover
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The physical logic of protein machines J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-08 John M McBride, Tsvi Tlusty
Proteins are intricate molecular machines whose complexity arises from the heterogeneity of the amino acid building blocks and their dynamic network of many-body interactions. These nanomachines gain function when put in the context of a whole organism through interaction with other inhabitants of the biological realm. And this functionality shapes their evolutionary histories through intertwined paths
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Analytical expression of negative differential thermal resistance in a macroscopic heterojunction J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-06 Wataru Kobayashi
Heat flux (J) generally increases with temperature difference in a material. A differential coefficient of J against temperature (T) is called differential thermal conductance (k), and an inverse of k is differential thermal resistance (r). Although k and r are generally positive, they can be negative in a macroscopic heterojunction with positive T-dependent interfacial thermal resistance (ITR). The
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Visualizing high-dimensional loss landscapes with Hessian directions J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-06 Lucas Böttcher, Gregory Wheeler
Analyzing the geometric properties of high-dimensional loss functions, such as local curvature and the existence of other optima around a certain point in loss space, can help provide a better understanding of the interplay between neural-network structure, implementation attributes, and learning performance. In this paper, we combine concepts from high-dimensional probability and differential geometry
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Two-point functions of random-length random walk on high-dimensional boxes J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-02 Youjin Deng, Timothy M Garoni, Jens Grimm, Zongzheng Zhou
We study the two-point functions of a general class of random-length random walks (RLRWs) on finite boxes in Zd with d⩾3 , and provide precise asymptotics for their behaviour. We show that in a finite box of side length L, the two-point function is asymptotic to the infinite-lattice two-point function when the typical walk length is o(L2) , but develops a plateau when the typical walk length is Ω(L2)
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The local persistence length of semi-flexible self-avoiding walks on the square lattice J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-02 I Živić, S Elezović-Hadžić
By applying the pruned-enriched Rosenbluth Monte Carlo simulation method, we have studied the local persistence length of semi-flexible linear polymers presented by self-avoiding walks (SAWs) on the square lattice, where the stiffness property is characterised by the weight s assigned to each bend of the walk. In this model, the local persistence length λN(k) of N-step SAWs is formulated as an ensemble
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Radial evolution in a reaction–diffusion model J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-02 Sofia M Silveira, Sidiney G Alves
In this work, we investigate an off-lattice version of the diffusion-reaction model, A+A↔A . We consider extensive numerical simulation of the radial system obtained from a single seed. Observed fluctuations in such an evolving system are characterized by a circular region occupied by particles growing over an empty one. We show that the fluctuating front separating the two regions belongs to the circular
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Non-equilibrium entanglement asymmetry for discrete groups: the example of the XY spin chain J. Stat. Mech. (IF 2.4) Pub Date : 2024-02-02 Florent Ferro, Filiberto Ares, Pasquale Calabrese
Entanglement asymmetry is a novel quantity that, using entanglement methods, measures how much a symmetry is broken in a part of an extended quantum system. So far, it has only been used to characterise the breaking of continuous Abelian symmetries. In this paper, we extend the concept to cyclic ZN groups. As an application, we consider the XY spin chain, in which the ground state spontaneously breaks
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Universal scaling relations for growth phenomena J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-31 Evandro A Rodrigues, Edwin E Mozo Luis, Thiago A de Assis, Fernando A Oliveira
The Family–Vicsek (FV) relation is a seminal universal relation obtained for the global roughness at the interface of two media in the growth process. In this work, we revisit the scaling analysis and, through both analytical and computational means, show that the FV relation can be generalized to a new scaling independent of the size, substrate dimension d, and scaling exponents. We use the properties
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The effects of social distancing markers on single-file pedestrian movement during the pandemic J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-31 Tuantuan Lu, Pengfei Zhu
Social distancing markers placed on the floor are a commonly used measure by city authorities to remind pedestrians to keep a safe distance during the pandemic. However, little is known about the effects of social distancing markers on pedestrian dynamics. In this paper, we conducted a series of single-file experiments with and without social distancing markers under a prescribed social distance of
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Nonlinear generalized master equations: quantum case J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-31 Victor F Los
A system of N≫1 interacting spinless quantum particles, described by a statistical operator F(t), is considered. A time-dependent projection operator formalism for a family of projectors, which select a statistical operator FS(t) for a group of S < N relevant particles by integration of the variables of the irrelevant N − S ‘environment’ particles, is presented. This formalism results in a nonlinear
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Multi-stable hidden attractor chaotic system and its analog coexistence circuit realization J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-30 Qinfei Su, Chengwei Dong
This paper proposes a multi-stable chaotic system with relatively complex hidden attractors. The dynamic performance of chaotic systems is under investigation via numerical simulations such as Lyapunov exponents, division diagrams, and phase diagrams, and it has been further found that the chaotic system with hidden attractors can switch between the two cases of having no equilibrium or having two
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Long term behavior of the stirred vacuum on a Dirac chain: geometry blur and the random Slater ensemble J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-29 José Vinaixa, Begoña Mula, Alfredo Deaño, Silvia N Santalla, Javier Rodríguez-Laguna
We characterize the long-term state of the 1D Dirac vacuum stirred by an impenetrable object, modeled as the ground state of a finite free-fermionic chain dynamically perturbed by a moving classical obstacle which suppresses the local hopping amplitudes. We find two different regimes, depending on the velocity of the obstacle. For a slow motion, the effective Floquet Hamiltonian presents features which
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Large deviations and conditioning for chaotic non-invertible deterministic maps: analysis via the forward deterministic dynamics and the backward stochastic dynamics J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-29 Cécile Monthus
The large deviation properties of trajectory observables for chaotic non-invertible deterministic maps as studied recently by Smith (2022 Phys. Rev. E 106 L042202) and by Gutierrez et al (2023 arXiv:2304.13754) are revisited in order to analyze in detail the similarities and the differences with the case of stochastic Markov chains. More concretely, we focus on the simplest example displaying the two
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Kondo screening cloud scaling: impurity entanglement and magnetization J. Stat. Mech. (IF 2.4) Pub Date : 2024-01-29 Erik S Sørensen
The screening of an impurity spin in the Kondo model occurs over a characteristic length scale ξ K , that defines the size of the Kondo screening cloud or ‘mist’. The presence of such a length scale in experimental and numerical results is rather subtle. A consistent way to show the presence of the screening cloud is to demonstrate scaling in the spatial correlations in terms of the single variable