Energy Probability Distribution Zeroes: A New Route to Study Phase Transitions

B. V. Costa, L. A. S. Mól, J. C. S. Rocha

Published 2016-03-16Version 1

In this work we present a novel method to study phase transitions based on the complex zeroes of a polynomial with coefficients determined by the energy probability distribution. This is a general method that brings advantages over the conventional Fisher zeroes approach since it does not require the knowledge of the full density of states. The method was applied to a variety of classical statistical physics models demonstrating its power in determining the transition temperature and critical behavior. Our strategy can easily be adapted to any model, classical or quantum, once we are able to build the corresponding energy probability distribution.