热力学两个常用方程在统计物理学中的证明

The Proof of Two Commonly Used Thermodynamics Equations in Statistical Physics

由于物态方程实验测定时的误差和描述不准确;构建微观模型不完善导致配分函数与实际的差异,常常使由热力学给出的结论与统计物理学给出的结论差距很大,但在高度理想化条件下抽象出来的热力学同统计物理学基础理论应保持高度的一致性,本文给出在均匀系统中两个常用的热力学方程———热力学基本方程和能态方程在统计物理学中的证明,说明其本质上的统一性.

Frequently, there was a remarkable difference between the conclusions given by thermodynamics and by statistical physics because of the experiment determination error of state equation and the inaccuracy of description, and the difference between partition function and the actual function caused by the constructing microscopic model. However, under highly idealized condition, the abstracted thermodynamics should maintain uniformity with the statistical physics basic theory. In this article, the author give the proof of two commonly used thermodynamics equations of the homogeneous system （ thermodynamics fundamental equation and the energy state equation） in the statistical physics, which explains the essential unity of them.