GRAND CANONICAL SIMULATIONS OF HARD-DISK SYSTEMS BY SIMULATED TEMPERING-Reference-Cited by-同舟云学术

GRAND CANONICAL SIMULATIONS OF HARD-DISK SYSTEMS BY SIMULATED TEMPERING

Published:2004-01 Issue:01 Volume:15 Page:129-147
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

DÖGE GUNTER¹,MECKE KLAUS²,MØLLER JESPER³,STOYAN DIETRICH¹,WAAGEPETERSEN RASMUS P.³

Affiliation:

1. Institut für Stochastik, TU Bergakademie Freiberg, D-09596 Freiberg, Germany

2. Max-Planck-Institut für Metallforschung, D-70569 Stuttgart, Germany

3. Department of Mathematical Sciences, Aalborg University, DK-9220 Aalborg Ø, Denmark

Abstract

The melting transition of hard disks in two dimensions is still an unsolved problem and improved simulation algorithms may be helpful for its investigation. We suggest the application of simulating tempering for grand canonical hard-disk systems as an efficient alternative to the commonly-used Monte Carlo algorithms for canonical systems. This approach allows the direct study of the packing fraction as a function of the chemical potential even in the vicinity of the melting transition. Furthermore, estimates of several spatial characteristics including pair correlation function are studied in order to test the accuracy of the method and to analyze the melting transition in hard-disk systems. Our results seem to show that there is a weak first-order phase transition.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183104005565

Reference33 articles.

1. Phase Transition in Elastic Disks

2. Equation of State Calculations by Fast Computing Machines

3. Two-dimensional melting

4. The Monte Carlo Method in Condensed Matter Physics

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