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Monte Carlo algorithms based on the number of potential moves | | Jian-Sheng Wang
; Lik Wee Lee
; | | Date: |
15 Mar 1999 | | Journal: | Comp. Phys. Commu. vol 127, page 131 (2000). | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | We discuss Monte Carlo dynamics based on _E, the (microcanonical) average number of potential moves which increase the energy by Delta E in a single spin flip. The microcanonical average can be sampled using Monte Carlo dynamics of a single spin flip with a transition rate min(1, _E’ / _E) from energy E to E’. A cumulative average (over Monte Carlo steps) can be used as a first approximation to the exact microcanonical average in the flip rate. The associated histogram is a constant independent of the energy. The canonical distribution of energy can be obtained from the transition matrix Monte Carlo dynamics. This second dynamics has fast relaxation time - at the critical temperature the relaxation time is proportional to specific heat. The dynamics are useful in connection with reweighting methods for computing thermodynamic quantities. | | Source: | arXiv, cond-mat/9903224 | | Services: | Forum | Review | PDF | Favorites | |
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