Local non-equilibrium thermal fluctuation,internal noise and dissipation in gaseous heat conduction systems with high values of Prandtl number
Local non-equilibrium thermal fluctuation,internal noise and dissipation in gaseous heat conduction systems with high values of Prandtl number作者机构:Institute of Chemical Physics College of Chemistry. Sichuan Universitry Chengdu 610064 China
出 版 物:《Chinese Chemical Letters》 (中国化学快报(英文版))
年 卷 期:2011年第22卷第5期
页 面:626-630页
核心收录:
学科分类:080701[工学-工程热物理] 07[理学] 08[工学] 0807[工学-动力工程及工程热物理] 070104[理学-应用数学] 0701[理学-数学]
基 金:supported by NSFC(Nos.20673074 and 20973119)
主 题:Stochastic model of gaseous heat conduction Master equation of continuous stochastic processes Local non-equilibrium thermal fluctuation dissipation Entropy production of fluctuations
摘 要:By means of a stochastic model suggested in this paper for the systems with local non-equilibrium excited thermal fluctuations, the famous Shannon entropy is extended to include the heat conduction processes controlled externally by boundary constraints of constant temperature gradients at two ***,using the description of master equation for the continuous Markov processes a balance equation of stochastic entropy production valid for one dimension gaseous heat conduction systems with high values of Prandtl number has been also *** on it,a general expression for both the stochastic entropy production and the entropy production of fluctuations have been further deduced by theΩ-*** this formalism,all kinds of stochastic contributions to the dissipation from the non-equilibrium thermal fluctuation and internal noise turn explicit.