非平衡系统经典力学形式的推广
Expansion of a Formalism of Classical Mechanics for Nonequilibrium Systems
摘要:
扩展的经典Hamilton形式主义包括在适应它来描述非平衡系统提供。展开式是在表示非平衡系统的平衡子系统的动力学方程的基础上,通过构造形式主义得到的。它允许消除对子系统动力学的限制,这取决于子系统之间的力的单演和潜力的要求。得到了修正的Lagrange方程、Hamilton方程和Liouville方程。研究了非平衡系统动力学的一些特征。分析了子系统相互作用方程与热力学能量原理之间的联系。
英文摘要:
The expansion of a classical Hamilton formalism consisting in adaptation of it to describe the nonequilibrium systems is offered. Expansion is obtained by construction of formalism on the basis of the dynamics equation of the equilibrium subsystems by which the nonequilibrium system is represented. It has allowed removing restrictions on dynamics of the subsystems, which dictated by the requirement of monogenic and potentiality of the forces between subsystems. Modified Lagrange, Hamilton and Liouville equations are obtained. Some features of dynamics of nonequilibrium systems are considered. Connection between the equation of interaction of subsystems and a thermodynamic principle of energy is analyzed.
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