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Comparison of extended irreversible thermodynamics and nonequilibrium statistical operator method with thermodynamics based on a distribution containing the first-passage time
Continuum Mechanics and Thermodynamics ( IF 1.9 ) Pub Date : 2024-07-11 , DOI: 10.1007/s00161-024-01311-6
V. V. Ryazanov

An analogy is drawn between version of non-equilibrium thermodynamics a distribution-based containing an additional thermodynamic first-passage time parameter, nonequilibrium statistical operator method and extended irreversible thermodynamics with flows as an additional thermodynamic parameter. Thermodynamics containing an additional thermodynamic first-passage time parameter maps to extended irreversible thermodynamics. Various conditions for the dependence of the distribution parameters of the first-passage time on the random value of energy, the first thermodynamic parameter, are considered. Time parameter relaxation time \(\tau \) of extended irreversible thermodynamics is replaced by the average first-passage time. Expressions are obtained for the thermodynamic parameter, the conjugate of the first passage time through the entropy change, and for the average first passage time through the flows.



中文翻译:


扩展不可逆热力学和非平衡统计算子方法与基于包含首次通过时间的分布的热力学的比较



在包含附加热力学首次通过时间参数的基于分布的非平衡热力学版本、非平衡统计算子方法和以流量作为附加热力学参数的扩展不可逆热力学之间进行类比。包含附加热力学首次通过时间参数的热力学映射到扩展的不可逆热力学。考虑了首次通过时间的分布参数对能量随机值(第一热力学参数)的依赖性的各种条件。扩展不可逆热力学的时间参数弛豫时间\(\tau\)被平均首次通过时间代替。获得了热力学参数、通过熵变化的首次通过时间的共轭以及通过流的平均首次通过时间的表达式。

更新日期:2024-07-12
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