New Nonequilibrium-to-Equilibrium Dynamical Scaling and Stretched-Exponential Critical Relaxation in Cluster Algorithms
Abstract
Nonequilibrium relaxation behaviors in the Ising model on a square lattice based on the Wolff algorithm are totally different from those based on local-update algorithms. In particular, the critical relaxation is described by the stretched-exponential decay. We propose a novel scaling procedure to connect nonequilibrium and equilibrium behaviors continuously, and find that the stretched-exponential scaling region in the Wolff algorithm is as wide as the power-law scaling region in local-update algorithms. We also find that relaxation to the spontaneous magnetization in the ordered phase is characterized by the exponential decay, not the stretched-exponential decay based on local-update algorithms.
- Publication:
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Journal of the Physical Society of Japan
- Pub Date:
- November 2014
- DOI:
- 10.7566/JPSJ.83.113001
- arXiv:
- arXiv:1407.0121
- Bibcode:
- 2014JPSJ...83k3001N
- Keywords:
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- Condensed Matter - Statistical Mechanics
- E-Print:
- J. Phys. Soc. Jpn. 83 (2014) in press