Phase Ordering Dynamics in the Continuum q-state Clock Model

TL;DR

This paper investigates the phase ordering dynamics of the continuum q-state clock model, revealing a crossover in the order parameter correlation function from Ising to O(2) universality classes during the aging process.

Contribution

It provides the first detailed analysis of the asymptotic scaling behavior and crossover phenomena in the continuum q-state clock model after a quench.

Findings

Crossover from Ising to O(2) universality in the correlation function

Explicit short-distance behavior of the order parameter scaling function

Insights into phase ordering in nonconserved continuum models

Abstract

The order parameter correlation function of the nonconserved, continuum $q$-state clock model is evaluated in the asymptotic scaling limit, during the phase ordering process after a temperature quench. The short distance behavior of the order parameter scaling function exhibits explicit crossover from that characteristic of the Ising universality class to that of the $O(2)$ model.