Matches in SemOpenAlex for { <https://semopenalex.org/work/W2018081106> ?p ?o ?g. }
Showing items 1 to 99 of
99
with 100 items per page.
- W2018081106 abstract "To study the effect of quenched disorder in a class of reaction-diffusion systems, we introduce a conserved mass model of diffusion and aggregation in which the mass moves as a whole to a nearest neighbour on most sites while it fragments off as a single monomer (i.e. chips off) from certain fixed sites. Once the mass leaves any site, it coalesces with the mass present on its neighbour. We study in detail the effect of a emph{single} chipping site on the steady state in arbitrary dimensions, with and without bias. In the thermodynamic limit, the system can exist in one of the following phases -- (a) Pinned Aggregate (PA) phase in which an infinite aggregate (with mass proportional to the volume of the system) appears with probability one at the chipping site but not in the bulk. (b) Unpinned Aggregate (UA) phase in which $emph{both}$ the chipping site and the bulk can support an infinite aggregate simultaneously. (c) Non Aggregate (NA) phase in which there is no infinite cluster. Our analytical and numerical studies show that the system exists in the UA phase in all cases except in 1d with bias. In the latter case, there is a phase transition from the NA phase to the PA phase as density is increased. A variant of the above aggregation model is also considered in which total particle number is conserved and chipping occurs at a fixed site, but the particles do not interact with each other at other sites. This model is solved exactly by mapping it to a Zero Range Process. With increasing density, it exhibits a phase transition from the NA phase to the PA phase in all dimensions, irrespective of bias. Finally, we discuss the likely behaviour of the system in the presence of extensive disorder." @default.
- W2018081106 created "2016-06-24" @default.
- W2018081106 creator A5033110282 @default.
- W2018081106 creator A5049775146 @default.
- W2018081106 date "2001-06-14" @default.
- W2018081106 modified "2023-09-26" @default.
- W2018081106 title "Phases of a conserved mass model of aggregation with fragmentation at fixed sites" @default.
- W2018081106 cites W1597512005 @default.
- W2018081106 cites W1965002852 @default.
- W2018081106 cites W1967944951 @default.
- W2018081106 cites W1971635737 @default.
- W2018081106 cites W1975297601 @default.
- W2018081106 cites W1997584151 @default.
- W2018081106 cites W1997730282 @default.
- W2018081106 cites W2001249101 @default.
- W2018081106 cites W2028064776 @default.
- W2018081106 cites W2028961956 @default.
- W2018081106 cites W2031000296 @default.
- W2018081106 cites W2052338922 @default.
- W2018081106 cites W2058937040 @default.
- W2018081106 cites W2081510629 @default.
- W2018081106 cites W2082629047 @default.
- W2018081106 cites W2088579425 @default.
- W2018081106 cites W2090625442 @default.
- W2018081106 cites W2124493205 @default.
- W2018081106 cites W2591709878 @default.
- W2018081106 cites W3099523788 @default.
- W2018081106 cites W3102172086 @default.
- W2018081106 cites W3102950999 @default.
- W2018081106 cites W4213265037 @default.
- W2018081106 doi "https://doi.org/10.1103/physreve.64.016107" @default.
- W2018081106 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/11461331" @default.
- W2018081106 hasPublicationYear "2001" @default.
- W2018081106 type Work @default.
- W2018081106 sameAs 2018081106 @default.
- W2018081106 citedByCount "12" @default.
- W2018081106 countsByYear W20180811062012 @default.
- W2018081106 countsByYear W20180811062013 @default.
- W2018081106 countsByYear W20180811062014 @default.
- W2018081106 countsByYear W20180811062021 @default.
- W2018081106 crossrefType "journal-article" @default.
- W2018081106 hasAuthorship W2018081106A5033110282 @default.
- W2018081106 hasAuthorship W2018081106A5049775146 @default.
- W2018081106 hasBestOaLocation W20180811062 @default.
- W2018081106 hasConcept C121332964 @default.
- W2018081106 hasConcept C121864883 @default.
- W2018081106 hasConcept C149288129 @default.
- W2018081106 hasConcept C171250308 @default.
- W2018081106 hasConcept C185592680 @default.
- W2018081106 hasConcept C18903297 @default.
- W2018081106 hasConcept C191015642 @default.
- W2018081106 hasConcept C192562407 @default.
- W2018081106 hasConcept C2778517922 @default.
- W2018081106 hasConcept C33923547 @default.
- W2018081106 hasConcept C44280652 @default.
- W2018081106 hasConcept C4679612 @default.
- W2018081106 hasConcept C62520636 @default.
- W2018081106 hasConcept C69357855 @default.
- W2018081106 hasConcept C71914180 @default.
- W2018081106 hasConcept C86803240 @default.
- W2018081106 hasConcept C97355855 @default.
- W2018081106 hasConceptScore W2018081106C121332964 @default.
- W2018081106 hasConceptScore W2018081106C121864883 @default.
- W2018081106 hasConceptScore W2018081106C149288129 @default.
- W2018081106 hasConceptScore W2018081106C171250308 @default.
- W2018081106 hasConceptScore W2018081106C185592680 @default.
- W2018081106 hasConceptScore W2018081106C18903297 @default.
- W2018081106 hasConceptScore W2018081106C191015642 @default.
- W2018081106 hasConceptScore W2018081106C192562407 @default.
- W2018081106 hasConceptScore W2018081106C2778517922 @default.
- W2018081106 hasConceptScore W2018081106C33923547 @default.
- W2018081106 hasConceptScore W2018081106C44280652 @default.
- W2018081106 hasConceptScore W2018081106C4679612 @default.
- W2018081106 hasConceptScore W2018081106C62520636 @default.
- W2018081106 hasConceptScore W2018081106C69357855 @default.
- W2018081106 hasConceptScore W2018081106C71914180 @default.
- W2018081106 hasConceptScore W2018081106C86803240 @default.
- W2018081106 hasConceptScore W2018081106C97355855 @default.
- W2018081106 hasIssue "1" @default.
- W2018081106 hasLocation W20180811061 @default.
- W2018081106 hasLocation W20180811062 @default.
- W2018081106 hasLocation W20180811063 @default.
- W2018081106 hasOpenAccess W2018081106 @default.
- W2018081106 hasPrimaryLocation W20180811061 @default.
- W2018081106 hasRelatedWork W1618612856 @default.
- W2018081106 hasRelatedWork W1981724656 @default.
- W2018081106 hasRelatedWork W2023083614 @default.
- W2018081106 hasRelatedWork W2074505071 @default.
- W2018081106 hasRelatedWork W2080895948 @default.
- W2018081106 hasRelatedWork W2083300323 @default.
- W2018081106 hasRelatedWork W2086970294 @default.
- W2018081106 hasRelatedWork W2404921979 @default.
- W2018081106 hasRelatedWork W3188934776 @default.
- W2018081106 hasRelatedWork W650778672 @default.
- W2018081106 hasVolume "64" @default.
- W2018081106 isParatext "false" @default.
- W2018081106 isRetracted "false" @default.
- W2018081106 magId "2018081106" @default.
- W2018081106 workType "article" @default.