In this paper, we study the thermodynamics of short-range central potentials, namely, the Lee–Wick (LW) potential, and the Plasma potential. In the first part of the paper, we obtain the numerical solution for the orbits equation for these potentials. Posteriorly, we introduce the thermodynamics through the microcanonical and canonical ensembles formalism defined on the phase space of the system. We calculate the density of states associated with the LW and the Plasma potentials. From density of states, we obtain the thermodynamical physical quantities like entropy and temperature as functions of the energy. We also use the Boltzmann–Gibbs formalism to obtain the partition functions, the mean energy and the thermal capacity for these short-range potentials.

中文翻译：

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短程相互作用势的恒温分析

在本文中，我们研究了短程中心势的热力学，即 Lee-Wick (LW) 势和等离子势。在论文的第一部分，我们获得了这些势的轨道方程的数值解。之后，我们通过定义在系统相空间上的微正则和正则集合形式来引入热力学。我们计算了与 LW 和等离子势相关的状态密度。从状态密度中，我们获得了作为能量函数的热力学物理量，如熵和温度。我们还使用 Boltzmann-Gibbs 形式来获得这些短程势的配分函数、平均能量和热容量。