Transition Matrix Monte Carlo Method

Preprint

23 April 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0104418

Abstract

We present a formalism of the transition matrix Monte Carlo method. A stochastic matrix in the space of energy can be estimated from Monte Carlo simulation. This matrix is used to compute the density of states, as well as to construct multi-canonical and equal-hit algorithms. We discuss the performance of the methods. The results are compared with single histogram method, multi-canonical method, and other methods. In many aspects, the present method is an improvement over the previous methods. PACS numbers: 02.70.Tt, 05.10.Ln, 05.50.+q. Keywords: Monte Carlo method, flat histogram, multi-canonical ensemble.

Keywords

TRANSITION MATRIX MONTE
MONTE CARLO SIMULATION
MONTE CARLO METHOD
DENSITY OF STATES
ALGORITHMS
KEYWORDS

All Related Versions

Version 1, 2001-04-23, ArXiv
Published version: Journal of Statistical Physics, 106 (1/2), 245.

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