Markov Chain Analysis of Single Spin Flip Ising Simulations
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چکیده
The Markov processes deened by random and loop-based schemes for single spin ip 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 ip probability often do not deene 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.
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تاریخ انتشار 1996