A Monte Carlo sampling scheme for the Ising model
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
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.
Monte Carlo methods, density of states, microcanonical, dynamics
IdentifiersURN: urn:nbn:se:kth:diva-22954DOI: 10.1023/B:JOSS.0000003116.17579.5dISI: 000186548300016ScopusID: 2-s2.0-3543026349OAI: oai:DiVA.org:kth-22954DiVA: diva2:341652
QC 20100525 QC 201111012010-08-102010-08-102011-11-01Bibliographically approved