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

2009 ◽  
Vol 58 (8) ◽  
pp. 5179
Author(s):  
Guo Pei-Rong ◽  
Xu Wei ◽  
Liu Di
Keyword(s):  
Time Dependence ◽  
Entropy Production ◽  
Gaussian Noise ◽  
Stochastic System ◽  
Entropy Flux ◽  
Non Gaussian

A UNIFIED DESCRIPTION OF TIME DEPENDENCE OF INFORMATION ENTROPY PRODUCTION AND FLUX IN THERMAL BROADBAND NOISE-DRIVEN DYNAMICAL SYSTEMS

2009 ◽  
Vol 23 (18) ◽  
pp. 3789-3802 ◽  
Author(s):  
PRADIP MAJEE ◽  
GURUPADA GOSWAMI ◽  
DEBASHIS BARIK ◽  
BIDHAN CHANDRA BAG
Keyword(s):  
Dynamical System ◽  
Dynamical Systems ◽  
Time Dependence ◽  
Entropy Production ◽  
Information Entropy ◽  
Closed System ◽  
Broadband Noise ◽  
Stationary States ◽  
Entropy Flux ◽  
Unified Description

In this paper we have studied the dynamics of thermal broadband noise-driven dynamical system in terms of information entropy at both the nonstationary and stationary states. Here, a unified description of fluctuating force is considered in a thermodynamically closed system. Based on the Fokker–Planck description of stochastic processes and the entropy balance equation, we have calculated the time-dependence of the information entropy production and entropy flux in the presence and absence of nonequilibrium constraint. Our calculation considers how the time evolution of these quantities is affected if the characteristic of noise changes from white to red or green and red to green in a unified scheme.

scholarly journals Study of Thermodynamically Inspired Quantities for Both Thermal and External Colored Non-Gaussian Noises Driven Dynamical System

2011 ◽  
Vol 2011 ◽  
pp. 1-25
Author(s):  
Monoj Kumar Sen ◽  
Alendu Baura ◽  
Bidhan Chandra Bag
Keyword(s):  
Dynamical System ◽  
Entropy Production ◽  
Information Entropy ◽  
Balance Equation ◽  
External Noise ◽  
Noise Correlation ◽  
Stationary States ◽  
Entropy Flux ◽  
Non Gaussian ◽  
Unified Description

We have studied dynamics of both internal and external noises-driven dynamical system in terms of information entropy at both nonstationary and stationary states. Here a unified description of entropy flux and entropy production is considered. Based on the Fokker-Planck description of stochastic processes and the entropy balance equation we have calculated time dependence of the information entropy production and entropy flux in presence and absence of nonequilibrium constraint (NEC). In the presence of NEC we have observed extremum behavior in the variation of entropy production as function of damping strength, noise correlation, and non-Gaussian parameter (which determine the deviation of external noise behavior from Gaussian characteristic), respectively. Thus the properties of noise process are important for entropy production.

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