论文标题

基于第一原则的国家方程

Equation of state based on the first principles

论文作者

Chefranov, Sergey G.

论文摘要

提出了水的众所周知的完整形式的水的完整形式(EOS)。仅基于热力学的第一定律和新的病毒定理形式的任意培养基的自洽EOS进行封闭的分析描述。这种病毒定理的这种形式(允许粒子相互作用潜力的可变幂律指数)是已知相似性方法的概括的结果(Feynman等,1949)。在新的EOS中,提出了将内部势能作为非线性Riemann-Hopf类型方程的解决方案的描述。

An alternative to the well-known complete form of the Mie-Grüneisen equation of state (EOS) for water is suggested. A closed analytical description of the self-consistent EOS for an arbitrary medium based only on the first law of thermodynamics and on a new form of virial theorem is obtained. This form of the virial theorem (allowing a variable power-law exponent of the particles interaction potential) is a result of the generalization of the known method of similarity (Feynman et al., 1949). In the new EOS, the description of the internal potential energy as a solution of a nonlinear Riemann-Hopf type equation is proposed.

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