Non-extensive study of Rigid and Non-rigid Rotators

TL;DR

This paper investigates the thermodynamic properties of isotropic rigid and non-rigid rotators using Tsallis statistics, analyzing their behavior in different temperature regimes and the role of the nonextensivity parameter.

Contribution

It introduces a study of rotator models within Tsallis statistics, highlighting the effects of the nonextensivity parameter on thermodynamic quantities.

Findings

Results align with Boltzmann-Gibbs statistics at the limiting Tsallis index.

Nonextensivity parameter q acts as a scale parameter at low temperatures.

Generalized thermodynamic functions are derived for both rotator types.

Abstract

The isotropic rigid and non-rigid rotators in the framework of Tsallis statistics are studied in the high and low temperature limits. The generalized partition functions, internal energies and heat capacities are calculated. It has been found that results are in well agreement with the classical Boltzmann-Gibbs statistics in the limiting Tsallis index. It has also been observed that nonextensivity parameter q behaves like a scale parameter in the low temperature regime.