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A Monte Carlo sampling scheme for the Ising model
KTH, Superseded Departments, Physics.ORCID iD: 0000-0002-2076-5911
KTH, Superseded Departments, Physics.
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2004 (English)In: Journal of statistical physics, ISSN 0022-4715, E-ISSN 1572-9613, Vol. 114, no 02-jan, 455-480 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we describe a Monte Carlo sampling scheme for the Ising model and similar discrete-state models. The scheme does not involve any particular method of state generation but rather focuses on a new way of measuring and using the Monte Carlo data. We show how to reconstruct the entropy S of the model, from which, e.g., the free energy can be obtained. Furthermore we discuss how this scheme allows us to more or less completely remove the effects of critical fluctuations near the critical temperature and likewise how it reduces critical slowing down. This makes it possible to use simple state generation methods like the Metropolis algorithm also for large lattices.

Place, publisher, year, edition, pages
2004. Vol. 114, no 02-jan, 455-480 p.
Keyword [en]
Monte Carlo methods, density of states, microcanonical, dynamics
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-22954DOI: 10.1023/B:JOSS.0000003116.17579.5dISI: 000186548300016ScopusID: 2-s2.0-3543026349OAI: diva2:341652
QC 20100525 QC 20111101Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2011-11-01Bibliographically approved

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Rosengren, AndersKundrotas, PetrasLundow, Per Håkan
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