Critical Nonequilibrium Cluster-flip Relaxations in Ising Models
| Autor: | Yoshihiko Nonomura, Yusuke Tomita |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
Statistical Mechanics (cond-mat.stat-mech) Monte Carlo method Non-equilibrium thermodynamics FOS: Physical sciences 01 natural sciences 010305 fluids & plasmas Exponential function Critical point (thermodynamics) 0103 physical sciences Relaxation (physics) Ising model Statistical physics 010306 general physics Scaling Condensed Matter - Statistical Mechanics Curse of dimensionality |
| DOI: | 10.48550/arxiv.1808.07761 |
| Popis: | 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. Comment: 9 pages, 4 figures |
| Databáze: | OpenAIRE |
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