Abstract
We study heat transfer in one-dimensional Fermi-Pasta-Ulam-Tsingou-type systems with long-range (LR) interactions. The strength of the LR interaction between two lattice sites decays as a power of the inverse of their distance. We focus on the strong LR regime () and show that the thermal transport behaviors are remarkably nuanced. Specifically, we observe that the antipersistent (negative) energy current correlation in this regime is intricately dependent on , displaying a nonmonotonic variation. Notably, a significant qualitative change occurs at , where with respect to other values the correlation shows a minimum negative value. Furthermore, our findings also demonstrate that within the long-time range considered, these antipersistent correlations will eventually vanish for certain . The underlying mechanisms behind these intriguing phenomena are related to the crossover of two diverse space-time scaling properties of equilibrium heat correlations and the various scattering processes of phonons and discrete breathers.
- Received 28 November 2023
- Revised 5 February 2024
- Accepted 21 March 2024
DOI:https://doi.org/10.1103/PhysRevE.109.044122
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