Linear stochastic system with delay: energy balance and entropy production.
Linear stochastic system with delay: energy balance and entropy production.
复制标题
带延迟的线性随机系统：能量平衡和熵产生。
DOI：
10.1103/physreve.79.031104
复制
发表时间：
2009
期刊：
影响因子：
--
通讯作者：
M. Kimizuka
中科院分区：
文献类型：
--
作者：
T. Munakata;S. Iwama;M. Kimizuka
研究了一类时滞线性随机动力系统在周期外力作用下的能量平衡问题。该模型的线性，结合响应函数法，使我们能够进行详细的分析计算的能量平衡方程中的每一项。由此，我们讨论了热力学和熵产生率σ。利用延迟时间τ和外力强度A0，σ可简单地表示为σ = σ_{D，1}（τ）+A_{0};{2}eta（τ），其中σ_{D，1}（τ）和eta（τ）均为正定。因此我们得出结论，即使没有外力（A_{0}=0），熵产生率σ = σ_{D，1}（τ）也是正的，这意味着延迟力产生功，并耗散到库中。数值实验证实了理论结果。
We study the energy balance in a linear stochastic dynamics with delay under the impact of an external periodic force. The linearity of the model, in combination with a response function method, enables us to perform detailed analytic calculations of each term in the energy balance equation. From this, we discuss thermodynamics and entropy production rate sigma . With use of the delay time tau and strength of the external force A0 , sigma is simply expressed as sigma=sigma_{D,1}(tau)+A_{0};{2}eta(tau) , with both sigma_{D,1}(tau) and eta(tau) positive definite. We thus conclude that even when there is no external force (A_{0}=0) , the entropy production rate sigma=sigma_{D,1}(tau) is positive, meaning that the delay force produces work, which is dissipated into a reservoir. Numerical experiments are performed to confirm theoretical results.