Please use this identifier to cite or link to this item: https://doi.org/10.1088/1742-5468/2006/05/P05004
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dc.titleDynamic critical exponents for Swendsen-Wang and Wolff algorithms obtained by a nonequilibrium relaxation method
dc.contributor.authorDu, J.
dc.contributor.authorZheng, B.
dc.contributor.authorWang, J.-S.
dc.date.accessioned2014-10-16T09:21:29Z
dc.date.available2014-10-16T09:21:29Z
dc.date.issued2006-05-01
dc.identifier.citationDu, J., Zheng, B., Wang, J.-S. (2006-05-01). Dynamic critical exponents for Swendsen-Wang and Wolff algorithms obtained by a nonequilibrium relaxation method. Journal of Statistical Mechanics: Theory and Experiment (5) : -. ScholarBank@NUS Repository. https://doi.org/10.1088/1742-5468/2006/05/P05004
dc.identifier.issn17425468
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/96269
dc.description.abstractUsing a nonequilibrium relaxation method, we calculate the dynamic critical exponent z of the two-dimensional Ising model for the Swendsen-Wang and Wolff algorithms. We examine dynamic relaxation processes following a quench from a disordered or an ordered initial state to the critical temperature T c, and measure the exponential relaxation time of the system energy. For the Swendsen-Wang algorithm with an ordered or a disordered initial state, and for the Wolff algorithm with an ordered initial state, the exponential relaxation time fits well to a logarithmic size dependence up to a lattice size L ≤ 8192. For the Wolff algorithm with a disordered initial state, we obtain an effective dynamic exponent zexp ≤ 1.19(2) up to L ≤ 2048. For comparison, we also compute the effective dynamic exponents through the integrated correlation times. In addition, an exact result of the Swendsen-Wang dynamic spectrum of a one-dimensional Ising chain is derived. © 2006 IOP Publishing Ltd and SISSA.
dc.sourceScopus
dc.subjectClassical Monte Carlo simulations
dc.subjectCritical exponents and amplitudes (theory)
dc.subjectFinite-size scaling
dc.typeArticle
dc.contributor.departmentPHYSICS
dc.description.doi10.1088/1742-5468/2006/05/P05004
dc.description.sourcetitleJournal of Statistical Mechanics: Theory and Experiment
dc.description.issue5
dc.description.page-
dc.identifier.isiut000238060000006
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