Surface critical behavior in systems with nonequilibrium phase transitions

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dc.contributorVirginia Techen
dc.contributor.authorHoward, M.en
dc.contributor.authorFrojdh, P.en
dc.contributor.authorLauritsen, K. B.en
dc.contributor.departmentPhysicsen
dc.date.accessed2013-12-17en
dc.date.accessioned2014-01-17T13:41:32Zen
dc.date.available2014-01-17T13:41:32Zen
dc.date.issued2000-01en
dc.description.abstractWe study the surface critical behavior of branching-annihilating random walks with an even number of offspring (BARW) and directed percolation (DP) using a variety of theoretical techniques. Above the upper critical dimensions d(c), with d(c)=4 (DP) and d(c)=2 (BARW), we use mean field-theory to analyze the surface phase diagrams using the standard classification into ordinary, special, surface, and extraordinary transitions. For the case of BARW, at or below the upper critical dimension d less than or equal to d(c), we use field theoretic methods to study the effects of fluctuations. As in the bulk, the field-theory suffers from technical difficulties associated with the presence of a second critical dimension. However, we are still able to analyze the phase diagrams for BARW in d = 1 and 2, which turn out to be very different from their mean field analog. Furthermore, for the case of BARW only (and not for DP), we find two independent surface beta(1) exponents in d = 1, arising from two distinct definitions of the order parameter. Using an exact duality transformation on a lattice BARW model in d = 1, we uncover a relationship between these two surface beta(1) exponents at the ordinary and special transitions. Many of our predictions are supported using Monte Carlo simulations of two different models belonging to the BARW universality class.en
dc.identifier.citationHoward, M ; Frojdh, P ; Lauritsen, KB, Jan 2000. "Surface critical behavior in systems with nonequilibrium phase transitions," PHYSICAL REVIEW E 61(1): 167-183. DOI: 10.1103/PhysRevE.61.167en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.61.167en
dc.identifier.issn1063-651Xen
dc.identifier.urihttp://hdl.handle.net/10919/24882en
dc.identifier.urlhttp://link.aps.org/doi/10.1103/PhysRevE.61.167en
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.subjectkinetic critical phenomenonen
dc.subjectreggeonen
dc.subjectfield-theoryen
dc.subjectmonomer-dimer modelen
dc.subjectdirected percolationen
dc.subjectabsorbingen
dc.subjectstatesen
dc.subjectuniversality classen
dc.subjectseries expansionsen
dc.subjectlatticeen
dc.subjectPhysicsen
dc.titleSurface critical behavior in systems with nonequilibrium phase transitionsen
dc.title.serialPhysical Review Een
dc.typeArticle - Refereeden

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