The free energy function of Ising model in a strong magnetic field

Authors: Nguyen Tong Xuan
Journal: Quy Nhon University Journal of Science
Published: 2025/10/28
Volume/Issue: Vol. 19, Issue 5
Pages: 117-127
DOI: https://doi.org/10.52111/qnjs.2025.19509

Abstract

In this paper, we study the analytic domain of free energy function for Ising model, specifically for cases where only neighboring spins interact. Our study comes from using cluster expansion, a powerful tool in statistical physics, incorporating new insights from Fernandez and Procacci on its convergence criteria.

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