Thermodynamics of the classical spin triangle
Statistical Mechanics
2022-11-23 v1
Abstract
The classical spin system consisting of three spins with Heisenberg interaction is an example of a completely integrable mechanical system. In this paper we explicitly calculate thermodynamic quantities as density of states, specific heat, susceptibility and spin autocorrelation functions. These calculations are performed (semi-)analytically and shown to agree with corresponding Monte Carlo simulations. For the long-time autocorrelation function, we find, for certain values of the coupling constants, a decay to constant values in the form of an damped harmonic oscillation and propose a theoretical explanation.
Cite
@article{arxiv.2201.11401,
title = {Thermodynamics of the classical spin triangle},
author = {Heinz-Jürgen Schmidt and Christian Schröder},
journal= {arXiv preprint arXiv:2201.11401},
year = {2022}
}