This article investigates the dynamics of charged particles and accretion process around nonlinear charged AdS black holes (BHs). the impact of key factors such as angular momentum, specific energy, and magnetic field on the behavior of particles are focused. Firstly, the concept of the effective potential is examined, which provides insights into the forces acting on particles and the escape velocity they must overcome. The innermost stable circular orbit (ISCO) is also discussed, which is the closest distance a particle can orbit a BH without being pulled in and explore the conditions for particle escape. Next, the energy efficiency and epicyclic frequency of test particles are studied, which measure the amount of energy particle loses due to friction and the frequency of its oscillations, respectively. The accretion processes is analyzed by examining the radial velocity, energy density, and accretion mass of matter falling into the BH. Using the equation of state, how different types of fluid, such as stiff, dust, quintessence and phantom-like dark energy fluid, affect the accretion process near a BH is investigated. Throughout this study, the parameter $k$ plays a key role in shaping the dynamics of particles and accretion systems is found. This parameter $k$ is a measure of the strength of the nonlinear electrodynamics field, and it can have a significant impact on the radius of the ISCO, the energy efficiency of accretion, and other properties. These findings provide new insights into the physics of particle dynamics around nonlinear charged AdS BHs. They could have implications for understanding the behavior of matter in extreme gravitational environments, such as those found near the center of galaxies.

中文翻译：

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大重力下非线性带电 AdS 黑洞的粒子动力学和物质吸积

本文研究了非线性带电 AdS 黑洞 (BH) 周围的带电粒子动力学和吸积过程。重点关注角动量、比能、磁场等关键因素对粒子行为的影响。首先，研究了有效势的概念，它提供了对作用在粒子上的力以及它们必须克服的逃逸速度的见解。还讨论了最内层稳定圆形轨道（ISCO），这是粒子在不被拉入的情况下绕 BH 运行的最近距离，并探讨了粒子逃逸的条件。接下来，研究测试粒子的能量效率和周转频率，分别测量由于摩擦而损失的能量粒子的量及其振荡频率。通过检查落入黑洞的径向速度、能量密度和吸积质量来分析吸积过程。利用状态方程，研究了不同类型的流体，如僵硬的、灰尘的、精华的和幻影般的暗能量流体如何影响黑洞附近的吸积过程。在整个研究中，参数$k$发现在塑造粒子和吸积系统的动力学方面起着关键作用。这个参数$k$是非线性电动力场强度的度量，它对 ISCO 的半径、吸积的能量效率和其他性质有显着的影响。这些发现为非线性带电 AdS BH 周围的粒子动力学物理学提供了新的见解。它们可能对理解极端引力环境中物质的行为产生影响，例如在星系中心附近发现的环境。