Pair contact process with diffusion: Failure of master equation field theory

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dc.contributorVirginia Techen
dc.contributor.authorJanssen, H. K.en
dc.contributor.authorvan Wijland, F.en
dc.contributor.authorDeloubriere, O.en
dc.contributor.authorTäuber, Uwe C.en
dc.contributor.departmentPhysicsen
dc.date.accessed2013-12-17en
dc.date.accessioned2014-01-17T13:41:33Zen
dc.date.available2014-01-17T13:41:33Zen
dc.date.issued2004-11en
dc.description.abstractWe demonstrate that the "microscopic" field theory representation, directly derived from the corresponding master equation, fails to adequately capture the continuous nonequilibrium phase transition of the pair contact process with diffusion (PCPD). The ensuing renormalization group (RG) flow equations do not allow for a stable fixed point in the parameter region that is accessible by the physical initial conditions. There exists a stable RG fixed point outside this regime, but the resulting scaling exponents, in conjunction with the predicted particle anticorrelations at the critical point, would be in contradiction with the positivity of the equal-time mean-square particle number fluctuations. We conclude that a more coarse-grained effective field theory approach is required to elucidate the critical properties of the PCPD.en
dc.identifier.citationJanssen, HK ; van Wijland, F ; Deloubriere, O ; et al., Nov 2004. "Pair contact process with diffusion: Failure of master equation field theory," PHYSICAL REVIEW E 70(5) Part 2: 056114. DOI: 10.1103/PhysRevE.70.056114en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.70.056114en
dc.identifier.issn1539-3755en
dc.identifier.urihttp://hdl.handle.net/10919/24883en
dc.identifier.urlhttp://link.aps.org/doi/10.1103/PhysRevE.70.056114en
dc.language.isoen_USen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectannihilating random-walksen
dc.subjectphase-transitionsen
dc.subjectrenormalizationen
dc.subjectsystemsen
dc.subjectlatticeen
dc.subjectPhysicsen
dc.titlePair contact process with diffusion: Failure of master equation field theoryen
dc.title.serialPhysical Review Een
dc.typeArticle - Refereeden

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