论文标题
简单封闭系统的非平衡热力学的哈密顿变异配方
Hamiltonian variational formulation for nonequilibrium thermodynamics of simple closed systems
论文作者
论文摘要
在本文中，我们为简单绝热封闭系统的非平衡热力学制定了汉密尔顿变分的配方，该系统是汉密尔顿的相位空间原理的扩展。我们通过考虑热力学类型的非线性非义学约束来介绍热力学系统的汉密尔顿 - 戴阿尔默特原理。特别是，对于给定拉格朗日人退化的情况，我们通过通过狄拉克的约束理论纳入主要约束来构建哈密顿量。我们用一些具有摩擦的系统，内部物质转移以及化学反应的系统示例来说明我们的汉密尔顿变异表述。
In this paper, we develop a Hamiltonian variational formulation for the nonequilibrium thermodynamics of simple adiabatically closed systems that is an extension of Hamilton's phase space principle in mechanics. We introduce the Hamilton-d'Alembert principle for thermodynamic systems by considering nonlinear nonholonomic constraints of thermodynamic type. In particular, for the case in which the given Lagrangian is degenerate, we construct the Hamiltonian by incorporating the primary constraints via Dirac's theory of constraints. We illustrate our Hamiltonian variational formulation with some examples of systems with friction, with internal matter transfer as well as with chemical reactions.
