Explicit thermostatics of certain classical one-dimensional lattice models by harmonic analysis

TL;DR

This paper uses harmonic analysis to explicitly derive the thermostatics of specific one-dimensional classical lattice models, focusing on their low-temperature behavior and thermodynamic properties.

Contribution

It introduces a harmonic analysis approach to explicitly determine the thermostatics of certain classical lattice models, providing new insights into their low-temperature behavior.

Findings

Explicit thermodynamic properties derived for the models.

Analysis of low-temperature behavior of the models.

Application of harmonic analysis to classical lattice systems.

Abstract

A certain class of one-dimensional classical lattice models is considered. Using the method of abstract harmonic analysis explicit thermostatic properties of such models are derived. In particular, we discuss the low-temperature behavior of some of these models.