Microcanonical Approach to the Simulation of First-Order Phase Transitions

Details Microcanonical Approach to the Simulation of First-Order Phase Transitions Microcanonical Approach to the Simulation of First-Order Phase Transitions

2006-11-21

arxiv.org/abs/cond-mat/0611543v1

Phys.Rev.Lett.98:137207,2007

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 postscript figures

Scientific paper

10.1103/PhysRevLett.98.137207

A generalization of the microcanonical ensemble suggests a simple strategy for the simulation of first order phase transitions. At variance with flat-histogram methods, there is no iterative parameters optimization, nor long waits for tunneling between the ordered and the disordered phases. We test the method in the standard benchmark: the Q-states Potts model (Q=10 in 2 dimensions and Q=4 in 3 dimensions), where we develop a cluster algorithm. We obtain accurate results for systems with more than one million of spins, outperforming flat-histogram methods that handle up to tens of thousands of spins.

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