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The invaded cluster algorithm

Yongsoo Choi, University of Massachusetts - Amherst

Abstract

A new class of Monte Carlo methods is introduced. The approach is devised to be especially useful for studying critical phenomena and phase transitions. The method can sample the critical point without a priori knowledge of the critical temperature. The method is first verified for Ising and Potts models. It is shown that the method also efficiently simulates the coexistence region near first-order transitions. The method is applied to dilute Ising models for studying disorder effects on critical phenomena. The dynamic properties of the method are investigated numerically. Finally a parallel version of the method is described and high-precision numerical results for the critical point of three-dimensional Ising models are presented. ^

Subject Area

Physics, Condensed Matter

Recommended Citation

Yongsoo Choi, "The invaded cluster algorithm" (January 1, 1997). Doctoral Dissertations Available from Proquest. Paper AAI9809321.
http://scholarworks.umass.edu/dissertations/AAI9809321

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