Critical Exponents from General Distributions of Zeroes

TL;DR

This paper extends a technique for extracting critical exponents from the distribution of partition function zeroes, applicable to more general cases and various critical points, enhancing computational analysis of phase transitions.

Contribution

The authors develop an extended method to analyze partition function zeroes for broader systems and critical points, improving upon previous techniques.

Findings

Method successfully applied to diverse models

Enhanced accuracy in critical exponent estimation

Broader applicability to complex systems

Abstract

All of the thermodynamic information on a statistical mechanical system is encoded in the locus and density of its partition function zeroes. Recently, a new technique was developed which enables the extraction of the latter using finite-size data of the type typically garnered from a computational approach. Here that method is extended to deal with more general cases. Other critical points of a type which appear in many models are also studied.