Comparison of the Standard Statistical Thermodynamics (SST) with the Generalized Statistical Thermodynamics (GST) Results for the Ising Chain

TL;DR

This paper compares the internal energy and specific heat of the 1D Ising model as predicted by standard and generalized statistical thermodynamics, highlighting differences and extensions in the generalized approach.

Contribution

It extends previous generalized thermodynamics results and provides a direct comparison with standard thermodynamics for the Ising chain.

Findings

Differences observed between SST and GST predictions.

GST results extend previous findings on the Ising model.

Comparison clarifies the applicability of generalized thermodynamics.

Abstract

In this study, the internal energy and the specific heat of the one- dimensional Ising model obtained in the frame of the generalized statistical thermodynamics by Andrade [Physica A175 (1991) 285], have been extended somewhat and compared with the internal energy and the specific heat which have been calculated in the standard statistical thermodynamics.