论文标题
在阻尼不足的状态下活跃颗粒的熵产生
Entropy production of active particles in underdamped regime
论文作者
论文摘要
本工作研究了惯性对不同维度和限制类型的所有活动粒子的所有规范模型的熵产量$π$的影响。为了计算$π$，探索了熵产生与耗散速率之间的联系，从而导致简单而直观的表达。通过分析Kramers方程，获得了$π$的替代公式，并得出了活性颗粒的病毒定理。在不受限制的环境和谐波陷阱中获得了颗粒的确切结果。在这两种情况下，$π$都独立于温度。对于谐波陷阱的情况，$π$获得了$τ=ω^{ - 1} $的最大值，其中$τ$是持久时间，$ω$是振荡器的固有频率。对于1D盒中的活动粒子或其他非谐波电位，发现热波动可减少$π$。
The present work investigates the effect of inertia on the entropy production rate $Π$ for all canonical models of active particles for different dimensions and the type of confinement. To calculate $Π$, the link between the entropy production and dissipation of heat rate is explored resulting in a simple and intuitive expression. By analyzing the Kramers equation, alternative formulations of $Π$ are obtained and the virial theorem for active particles is derived. Exact results are obtained for particles in an unconfined environment and in a harmonic trap. In both cases, $Π$ is independent of temperature. For the case of a harmonic trap, $Π$ attains a maximal value for $τ= ω^{-1}$ where $τ$ is the persistence time and $ω$ is the natural frequency of an oscillator. For active particles in 1D box, or other non-harmonic potentials, thermal fluctuations are found to reduce $Π$.
