Thermostatistical analysis for short-range interaction Potentials

TL;DR

This paper investigates the thermodynamics of short-range central potentials, specifically Lee-Wick and Plasma potentials, by solving orbit equations and deriving thermodynamic quantities using microcanonical and canonical ensembles.

Contribution

It provides numerical solutions for orbit equations and derives thermodynamic properties for Lee-Wick and Plasma potentials within statistical mechanics frameworks.

Findings

Calculated density of states for both potentials.

Derived entropy and temperature as functions of energy.

Obtained partition functions, mean energy, and thermal capacity.

Abstract

In this paper, we study the thermodynamics of short-range central potentials, namely, the Lee-Wick 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 Lee-Wick 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.