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arXiv · 1808.07761

Critical Nonequilibrium Cluster-flip Relaxations in Ising Models

Yusuke Tomita·Yoshihiko Nonomura
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Abstract

We investigate nonequilibrium relaxations of Ising models at the critical point by using a cluster update. While preceding studies imply that nonequilibrium cluster-flip dynamics at the critical point are universally described by the stretched-exponential function, we find that the dynamics changes from the stretched-exponential to the power function as the dimensionality is increased: The two-, three-, four-, and infinite-dimensional Ising models are numerically studied, and the four- and infinite-dimensional Ising models exhibit the power-law relaxation. We also show that the finite-size scaling analysis using the normalized correlation length is markedly effective for the analysis of relaxational processes rather than the direct use of the Monte Carlo step.

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Yusuke Tomita, Yoshihiko Nonomura. 2018-08-22. Critical Nonequilibrium Cluster-flip Relaxations in Ising Models. https://doi.org/10.1103/physreve.98.052110

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