Local non-equilibrium thermal fluctuation,internal noise and dissipation in gaseous heat conduction systems with high values of Prandtl number

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 sides...

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Veröffentlicht in:Chinese chemical letters 2011-05, Vol.22 (5), p.626-630
Hauptverfasser: Lin, Feng, Luo, Jiu Li, Zhao, Nan Rong
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description 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 sides.Meanwhile,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 established.Based on it,a general expression for both the stochastic entropy production and the entropy production of fluctuations have been further deduced by theΩ-expansions.In this formalism,all kinds of stochastic contributions to the dissipation from the non-equilibrium thermal fluctuation and internal noise turn explicit.
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1878-5964
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source ScienceDirect Journals (5 years ago - present); Alma/SFX Local Collection
subjects Entropy production of fluctuations
Local non-equilibrium thermal fluctuation dissipation
Master equation of continuous stochastic processes
Stochastic model of gaseous heat conduction
噪音
散热
普朗特数
气体
波动
热传导系统
随机模型
非均衡性
title Local non-equilibrium thermal fluctuation,internal noise and dissipation in gaseous heat conduction systems with high values of Prandtl number
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