AI 中文总结
探讨外部非平衡热力学等相结合的理论基础，通过纳入亚稳态随机寿命，将首次通过时间视为宏观坐标，给出微观依据与广义热力学势，推导记忆核结构，进行方法比较分析。
AI 中文摘要
本文探索了将外部非平衡热力学、非平衡统计算子方法和随机首次通过时间热力学相结合的理论基础。研究表明，在广义分布函数中纳入亚稳态的随机寿命，可将首次通过时间视为一个成熟的宏观坐标。文中给出了该方法的微观依据，并引入了广义热力学势。基于热力学一致性条件，开发了一种封闭传输方程的程序。结果表明，在广义麦克斯韦 - 卡泰尼奥方程中，经典弛豫时间被平均首次通过时间严格取代，这赋予了系统内部宏观非线性。利用更新理论，推导了非马尔可夫过程传输记忆核的精确数学结构。还对非平衡现象热力学描述的各种方法进行了定性比较分析。
英文摘要
The theoretical foundation of combining external nonequilibrium thermodynamics, the nonequilibrium statistical operator method, and stochastic first passage time thermodynamics are explored. It is shown that including a random lifetime of a metastable state in the generalized distribution function allows the first passage time to be considered as a fully - fledged macroscopic coordinate. A microscopic justification for this approach is provided, and a generalized thermodynamic potential is introduced. A procedure for closing the transport equations based on on thermodynamic consistency conditions is developed. It is shown that in the generalized Maxwell - Catteneo equation, the classical relaxation time is strictly replaced by the mean first passage time, which imparts internal macroscopic nonlinearity to the system. Using renewal theory, the exact mathematical structure of transport memory kernels for non-Markovian processes is derived. A qualitative comparative analysis of various approaches to the thermodynamic description of nonequilibrium phenomena is presented.
Comments31 pages
