摘要
non-Gaussian 噪音驾驶的一个随机的消散的动态系统被调查。系统的一个一般近似佛克普朗克常数方程通过一条路径积分途径被导出。基于香农的信息熵,熵流动的准确时间依赖和系统的熵生产的定义在缺席并且面对非平衡被计算限制。现在的计算能被用来在熵流动和熵生产上解释消散的常数和 non-Gaussian 噪音的相互影响。
A stochastic dissipative dynamical system driven by non-Gaussian noise is investigated. A general approximate Fokker-Planck equation of the system is derived through a path-integral approach. Based on 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 present calculation can be used to interpret the interplay of the dissipative constant and non-Gaussian noise on the entropy flux and entropy production.
基金
National Natural Science Foundation of China under Grant Nos.10472091,10332030,and 10502042