论文标题
互连离散分布系统中的非等热扩散:一种变异方法
Non-isothermal diffusion in interconnected discrete-distributed systems: a variational approach
论文作者
论文摘要
通过工程和生物物理系统的隔室分析的激励,我们为涉及分布式和离散(有限维度)子系统的系统非平衡热力学的变异框架提供了专门使用互连系统的思想。我们专注于非等热扩散的过程,并展示熵方程的产生形式如何自然产生两个隔室之间扩散和熵通量的现象学表达,这导致了Robin类型界面条件的广义形式。
Motivated by compartmental analysis in engineering and biophysical systems, we present a variational framework for the nonequilibrium thermodynamics of systems involving both distributed and discrete (finite dimensional) subsystems by specifically using the ideas of interconnected systems. We focus on the process of non-isothermal diffusion and show how the resulting form of the entropy equation naturally yields phenomenological expressions for the diffusion and entropy fluxes between two compartments, which results in generalized forms of Robin type interface conditions.