Gay-Balmaz François, Yoshimura Hiroaki
Centre National de la Recherche Scientifique, Le Laboratoire de Météorologie Dynamique, Ecole Normale Supérieure, Paris, France.
School of Science and Engineering, Waseda University. 3-4-1, Okubo, Shinjuku, Tokyo, Japan.
Philos Trans A Math Phys Eng Sci. 2023 Oct 2;381(2256):20220280. doi: 10.1098/rsta.2022.0280. Epub 2023 Aug 14.
The paper investigates a systematic approach to modelling in non-equilibrium thermodynamics by focusing upon the notion of interconnections, where we propose a novel Lagrangian variational formulation of such interconnected systems by extending the variational principle of Hamilton in mechanics. In particular, we show how a non-equilibrium thermodynamic system can be regarded as an of primitive physical elements or subsystems throughout an . While this approach is new in non-equilibrium thermodynamics, this idea has been known as a useful tool for the modelling of complicated systems in networks as well as in mechanics. Hence, the setting developed in this paper yields a promising direction for building a unifying description in various areas of modern science via thermodynamic principles, while being at the same time related to the early developments of variational mechanics. This article is part of the theme issue 'Thermodynamics 2.0: Bridging the natural and social sciences (Part 2)'.
本文通过关注相互连接的概念，研究了一种非平衡态热力学中的系统建模方法，在此我们通过扩展力学中的哈密顿变分原理，提出了此类相互连接系统的一种新颖的拉格朗日变分公式。特别地，我们展示了一个非平衡态热力学系统如何在一个过程中被视为一组原始物理元素或子系统。虽然这种方法在非平衡态热力学中是全新的，但这个想法在网络以及力学中复杂系统的建模方面已被视为一种有用的工具。因此，本文所发展的框架为通过热力学原理在现代科学的各个领域构建统一描述提供了一个有前景的方向，同时与变分力学的早期发展相关。本文是主题为“热力学2.0：连接自然科学与社会科学（第二部分）”的一部分。
