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dc.contributorVirginia Tech
dc.contributor.authorHoward, M.
dc.contributor.authorFrojdh, P.
dc.contributor.authorLauritsen, K. B.
dc.date.accessioned2014-01-17T13:41:32Z
dc.date.available2014-01-17T13:41:32Z
dc.date.issued2000-01
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.61.167
dc.identifier.issn1063-651X
dc.identifier.urihttp://hdl.handle.net/10919/24882
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.
dc.language.isoen_US
dc.publisherAmerican Physical Society
dc.subjectannihilating random-walks
dc.subjectkinetic critical phenomenon
dc.subjectreggeon
dc.subjectfield-theory
dc.subjectmonomer-dimer model
dc.subjectdirected percolation
dc.subjectabsorbing
dc.subjectstates
dc.subjectuniversality class
dc.subjectseries expansions
dc.subjectlattice
dc.subjectPhysics
dc.titleSurface critical behavior in systems with nonequilibrium phase transitions
dc.typeArticle
dc.identifier.urlhttp://link.aps.org/doi/10.1103/PhysRevE.61.167
dc.date.accessed2013-12-17
dc.title.serialPhysical Review E
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.61.167


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