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arXiv 2608.26843physics.bio-phmath-phmath.MP

采用最大能量耗散原理的非线性化学热力学变分框架

A Variational Framework for Nonlinear Chemical Thermodynamics Employing the Maximum Energy Dissipation Principle

Adam Moroz

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中文总结 AI 辅助

本研究基于最大能量耗散原理,构建了含一般协同动力学模型的非线性化学热力学变分框架,其与标准线性非平衡化学热力学吻合良好。

中文摘要 AI 辅助

本研究将最大能量耗散原理应用于非线性化学热力学,以全局平衡的距离变量(广义位移)为基础,通过最优控制解释构建变分形式。选取类代价泛函以支持该形式对应最大能量耗散原理的结论。采用该方法提出了包含一般协同动力学模型的非线性化学热力学变分框架,该形式与标准线性非平衡化学热力学吻合良好。

英文摘要

The maximum energy dissipation principle is employed to nonlinear chemical thermodynamics in terms of distance variable (generalized displacement) from the global equilibrium, applying the optimal control interpretation to develop a variational formulation. The cost-like functional was chosen to support the suggestion that such a formulation corresponds to the maximum energy dissipation principle. Using this approach, the variational framework was proposed for a nonlinear chemical thermodynamics, including general cooperative kinetics model. The formulation is in good agreement with standard linear non-equilibrium chemical thermodynamics.

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