经典力学中的不可逆性
Irreversibility in Classical Mechanics
摘要：
对不可逆动力学的机理进行了解释。在经典力学定律的框架内，通过对Hamilton形式的扩展，得到了这种解释。这种扩展在于使它适应于描述系统的非势相互作用。将系统分解为平衡子系统的过程，将子系统的能量表示为它们的相对运动能量与它们的内能之和，是用于分析非平衡系统的方法的基础。得到了广义Liouville方程和子系统相互作用方程。在此基础上，证明了子系统的相对运动能量向其内能的不可逆转化。提出了用子系统相互作用力的功来表示熵的公式。讨论了经典力学与热力学之间的联系。
英文摘要：
An explanation of the mechanism of irreversible dynamics was offered. The explanation was obtained within the framework of laws of classical mechanics by the expansion of Hamilton formalism. Such expansion consisted in adaptation of it to describe of the non-potential interaction of a systems. The procedure of splitting of a system into equilibrium subsystems, presentation of subsystem's energy as the sum of energy of their relative motion and their internal energy was the basis of the approach which was used for the analysis of nonequilibrium systems. As a results the generalized Liouville equation and equation of subsystems interaction was obtained. Based on these equations, the irreversible transformation of energy of the relative motion of subsystems into their internal energy was proved. The formula which expresses the entropy via the work of subsystems' interaction forces was submitted. The link between classical mechanics and thermodynamics was discussed.
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