Short-time Critical Dynamics of the 3-Dimensional Ising Model

TL;DR

This paper uses Monte Carlo simulations to analyze the early-time critical dynamics of the 3D Ising model, accurately estimating critical exponents and temperature from initial scaling behaviour.

Contribution

It provides new estimates of critical exponents and temperature for the 3D Ising model based on short-time dynamic simulations, including high and zero temperature initial states.

Findings

Estimated critical exponents $ heta$, $z$, $ u$, and $eta$.

Determined critical temperature from early-time scaling.

Analyzed dynamics from various initial states.

Abstract

Comprehensive Monte Carlo simulations of the short-time dynamic behaviour are reported for the three-dimensional Ising model at criticality. Besides the exponent $\theta$ of the critical initial increase and the dynamic exponent $z$, the static critical exponents $\nu$ and $\beta$ as well as the critical temperature are determined from the power-law scaling behaviour of observables at the beginning of the time evolution. States of very high temperature as well as of zero temperature are used as initial states for the simulations.