与热方程耦合的拉格朗日方程：力学是热力学的结果
Lagrange equations coupled to a thermal equation: mechanics as consequence of thermodynamics
摘要：
根据Stueckelberg发展的热力学分析方法，研究了流体中由点粒子组成的封闭热力学系统的演化方程。我们得到一个系统的耦合微分方程描述的机械和热演化的系统。这些发展方程之间的耦合是由于粘性摩擦项的作用。最后，我们应用我们的耦合演化方程研究了孤立系的热力学，该系统由通过谐振势相互作用的全同点粒子组成。
英文摘要：
Following the analytic approach to thermodynamics developed by Stueckelberg, we study the evolution equations of a closed thermodynamic system consisting of point particles in a fluid. We obtain a system of coupled differential equations describing the mechanical and the thermal evolution of the system. The coupling between these evolution equations is due to the action of a viscous friction term. Finally, we apply our coupled evolution equations to study the thermodynamics of an isolated system consisting of identical point particles interacting through a harmonic potential.
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