Ansatz for the Two-Dimensional Ising Model in an External Magnetic Field
Statistical Mechanics
2024-12-30 v1 Quantum Physics
Abstract
An ansatz applied to the two-dimensional Ising model in an external magnetic field h gives rise to an exactly soluble model. The singularity in the magnetization found by Onsager does not survive the presence of the external magnetic field as found earlier by Lee and Yang in 1952. However, the singularity in the heat capacity remains even in the presence of the magnetic field. A surprising result is the presence of negative heat capacity for h > 0.
Keywords
Cite
@article{arxiv.2412.18630,
title = {Ansatz for the Two-Dimensional Ising Model in an External Magnetic Field},
author = {Moorad Alexanian},
journal= {arXiv preprint arXiv:2412.18630},
year = {2024}
}