Local, Cluster, and Transitional Monte Carlo Dynamics
| dc.creator | Wang, Jian-Sheng | |
| dc.date | 1998-07-15 | |
| dc.date.accessioned | 2026-07-07T03:11:05Z | |
| dc.date.available | 2026-07-07T03:11:05Z | |
| dc.description | We review the local Monte Carlo dynamics and Swendsen-Wang cluster algorithm. We introduce and analyze a new Monte Carlo dynamics known as transitional Monte Carlo. The transitional Monte Carlo algorithm samples energy probability distribution P(E) with a transition matrix obtained from single-spin-flip dynamics. We analyze the relaxation dynamics master equation, d P(E, t)/ dt = sum{E'} T(E,E') P(E',t), associated with Ising model in d dimensions. In one dimension, we obtain an exact solution. We show in all dimensions in the continuum limit the dynamics is governed by the partial differential equation d P/dt' = d^2 P / d x^2 + x dP/dx + P. where x and t' are rescaled energy deviation from the equilibrium value and rescaled time, respectively. This equation is readily solved. Thus, we have a complete understanding of the dynamics. | |
| dc.description | 8 pages, revtex | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9807219 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9807219 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28442 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Local, Cluster, and Transitional Monte Carlo Dynamics | |
| dc.type | text |