skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Markov chain analysis of single spin flip Ising simulations

Journal Article · · International Journal of Modern Physics C
 [1]
  1. Univ. of Karlsruhe (Germany)

The Markov processes defined by random and loop-based schemes for single spin flip attempts in Monte Carlo simulations of the 2D Ising model are investigated, by explicitly constructing their transition matrices. Their analysis reveals that loops over all lattice sites using a Metropolis-type single spin flip probability often do not define ergodic Markov chains, and have distorted dynamical properties even if they are ergodic. The transition matrices also enable a comparison of the dynamics of random versus loop spin selection and Glauber versus Metropolis probabilities.

OSTI ID:
482182
Journal Information:
International Journal of Modern Physics C, Vol. 8, Issue 2; Other Information: PBD: Apr 1997
Country of Publication:
United States
Language:
English