色噪声驱动的双奇异随机系统的熵流与熵产生

Entropy flux and entropy production of a stochastic system with double singularities driven by colored noise

讨论一类(非平衡约束下)高斯色噪声驱动的双奇异随机系统对应的Fokker-Planck方程,结合Shannon信息熵定义给出此类系统的熵流、熵产生随时间演化的精确表达式.分析(非平衡约束下)所引入的奇异性强度参数、噪声相关时间与耗散参数的相互作用以及对熵流、熵产生的显著影响.

This paper shows the Fokkcr-Planck（FP） equation of a stochastic system with double singularities driven by Gaussian colored noise. Based on the FP equation and the definition of Shannon＇s information entropy, the exact time dependence of entropy flux and entropy production of the system is calculated both in the absence and in the presence of non-equilibrium constraint. The relationship between the properties of double singularities, noise correlation time and dissipative parameter and their effects on entropy flux and entropy production are discussed.