Determination of the correlation length from short-time dynamics

TL;DR

This paper explores how short-time dynamic relaxation measurements in the 2D XY model can be used to determine the equilibrium spatial correlation length, providing a new approach to analyze phase behavior.

Contribution

It introduces a method to extract the equilibrium correlation length from short-time dynamics starting from an ordered state in the 2D XY model.

Findings

Correlation length can be estimated from autocorrelation time.

Method works in the high temperature phase.

Provides a new tool for studying phase transitions.

Abstract

We investigate the short-time dynamic relaxation of the two-dimensional XY model in the high temperature phase. Starting from the ordered state, we measure the autocorrelation function and determine the autocorrelation time. It is shown that apart from a constant the equilibrium spatial correlation length can be calculated in this way.