非高斯噪声驱动的双奇异随机系统的熵流与熵产生

研究了一类受非高斯噪声驱动的双奇异随机系统，应用路径积分法和变换的方法得到了该系统对应的Fokker-Plank方程，并结合Shannon信息熵的定义给出了此类系统的熵流与熵产生随时间演化的表达式，分析了非平衡约束下所引入的系统耗散参数、奇异性强度参数、噪声相关时间和噪声偏离参数对熵流与熵产生的影响. 关键词： 信息熵 熵流与熵产生 非高斯噪声 双奇异随机系统

Time dependence of entropy flux and entropy production for a stochastic system with double singularities driven by non-Gaussian noise

A stochastic system with double singularities driven by non-Gaussian noise is investigated. The Fokker-Plank equation of the system is obtained through the path-integral approach and the method of transformation. Based on the definition of Shannon’s information entropy, the 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 influences of the system dissipative parameter, the system singularity strength parameter, the noise correlation time and the noise deviation parameter on entropy flux and entropy production are discussed.