Intermittency in the q-State Potts Model

TL;DR

This paper introduces a block observable for the q-state Potts model that shows intermittent behavior at criticality, linking intermittency indices to the magnetic critical exponent and confirming this through numerical simulations.

Contribution

It defines a new observable for the Potts model and establishes a relation between intermittency indices and critical exponents, validated by simulations.

Findings

Intermittency indices are expressed in terms of the magnetic critical exponent.

Numerical simulations confirm the theoretical relation for q=2 and q=3 models.

The observable captures critical behavior in the Potts model.

Abstract

We define a block observable for the $q$-state Potts model which exhibits an intermittent behaviour at the critical point. We express the intermittency indices of the normalised moments in terms of the magnetic critical exponent $\beta /\nu$ of the model. We confirm this relation by a numerical similation of the $q=2$ (Ising) and $q=3$ two-dimensional Potts model.