论文标题
盒子中活性粒子的熵产生
The entropy production of an active particle in a box
论文作者
论文摘要
研究了一个尺寸盒（无限电位井）中的跑步粒子。分析和分析稳态，揭示了边界层的新兴长度尺度，其中颗粒在壁附近积聚。系统的介质稳态熵产生速率来自具有线性反应项的耦合fokker-planck方程，从而导致精确的分析表达。熵的生产密度显示在壁上达到峰值。此外，熵生产率的衍生物在系统大小上达到与累积边界层长度比例成正比的峰值，这表明熵生产速率及其衍生物作为控制参数的函数的行为可能表示活性系统物理的定性行为变化，例如相变。
A run-and-tumble particle in a one dimensional box (infinite potential well) is studied. The steady state is analytically solved and analyzed, revealing the emergent length scale of the boundary layer where particles accumulate near the walls. The mesoscopic steady state entropy production rate of the system is derived from coupled Fokker-Planck equations with a linear reaction term, resulting in an exact analytic expression. The entropy production density is shown to peak at the walls. Additionally, the derivative of the entropy production rate peaks at a system size proportional to the length scale of the accumulation boundary layer, suggesting that the behavior of the entropy production rate and its derivatives as a function of the control parameter may signify a qualitative behavior change in the physics of active systems, such as phase transitions.
