Zeros of the Partition Function and Pseudospinodals in Long-Range Ising Models

TL;DR

This paper explores how the zeros of the partition function relate to spinodal critical points in long-range Ising models, revealing their approach to real parameters as interaction range grows.

Contribution

It establishes a connection between partition function zeros and spinodal points in long-range Ising models, highlighting their behavior in complex temperature and field space.

Findings

Zeros approach the real axis with increasing interaction range

Spinodal points are associated with partition function zeros in complex space

Zeros move closer to real parameters as interaction range increases

Abstract

The relation between the zeros of the partition function and spinodal critical points in Ising models with long-range interactions is investigated. We find the spinodal is associated with the zeros of the partition function in four-dimensional complex temperature/magnetic field space. The zeros approach the real temperature/magnetic field plane as the range of interaction increases.