Cluster mean-field approximations with the coherent-anomaly-method analysis for the driven pair contact process with diffusion

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dc.creatorPark, Su-Chan
dc.creatorPark, Hyunggyu
dc.date2004-09-06
dc.date2005-01-31
dc.date.accessioned2026-07-07T03:00:19Z
dc.date.available2026-07-07T03:00:19Z
dc.descriptionThe cluster mean-field approximations are performed, up to 13 cluster sizes, to study the critical behavior of the driven pair contact process with diffusion (DPCPD) and its precedent, the PCPD in one dimension. Critical points are estimated by extrapolating our data to the infinite cluster size limit, which are in good accordance with recent simulation results. Within the cluster mean-field approximation scheme, the PCPD and the DPCPD share the same mean-field critical behavior. The application of the coherent anomaly method, however, shows that the two models develop different coherent anomalies, which lead to different true critical scaling. The values of the critical exponents for the particle density, the pair density, the correlation length, and the relaxation time are fairly well estimated for the DPCPD. These results support and complement our recent simulation results for the DPCPD.
dc.identifierhttps://arxiv.org/abs/cond-mat/0409115
dc.identifierhttp://arxiv.org/abs/cond-mat/0409115
dc.identifierPhys. Rev. E 71, 016137 (2005)
dc.identifierdoi:10.1103/PhysRevE.71.016137
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/24790
dc.subjectStatistical Mechanics
dc.titleCluster mean-field approximations with the coherent-anomaly-method analysis for the driven pair contact process with diffusion
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