Time Dependence of Entropy Flux and Entropy Production of a Dissipative Dynamical System Driven by Non-Gaussian Noise

A stochastic dissipative dynamical system driven by non-Gaussian noise isinvestigated. A general approximate Fokker-Planck equation of the system isderived through a path-integral approach. Based on the definition ofShannon's information entropy, the exact time dependence of entropy flux and entropy production of the system is calculated both in the absence and inthe 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.