Efficient energy cumulants for the Baxter–Wu model

Ioannis N. Velonakis

Physica A: Statistical Mechanics and its Applications, 2015, vol. 422, issue C, 153-166

Abstract: In this paper, using both analytic methods and Monte Carlo simulations with our triangle cluster algorithm, we illustrate the scaling behavior of two possible 4th-order connected energy cumulants across the well-known second and first-order phase transitions of the Baxter–Wu model under zero external magnetic field. It is found that 4th-order connected energy cumulant introduced by Janke provides a very good theoretical tool for finding and distinguishing phase transitions, especially in case the order parameter of a particular model is hardly known. Also, the physical importance of the cumulants’ local minima and maxima is investigated, showing that they are finite-size scaling effects.

Keywords: Connected Binder energy cumulant; Phase transitions; Critical exponents; Baxter–Wu model; Triangle-cluster algorithm (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:422:y:2015:i:c:p:153-166

DOI: 10.1016/j.physa.2014.12.013

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