Document Detail

Effect of spatial bias on the nonequilibrium phase transition in a system of coagulating and fragmenting particles.
MedLine Citation:
PMID:  12443284     Owner:  NLM     Status:  PubMed-not-MEDLINE    
We examine the effect of spatial bias on a nonequilibrium system in which masses on a lattice evolve through the elementary moves of diffusion, coagulation, and fragmentation. When there is no preferred directionality in the motion of the masses, the model is known to exhibit a nonequilibrium phase transition between two different types of steady state, in all dimensions. We show analytically that introducing a preferred direction in the motion of the masses inhibits the occurrence of the phase transition in one dimension, in the thermodynamic limit. A finite-size system, however, continues to show a signature of the original transition, and we characterize the finite-size scaling implications of this. Our analysis is supported by numerical simulations. In two dimensions, bias is shown to be irrelevant.
R Rajesh; Supriya Krishnamurthy
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Publication Detail:
Type:  Journal Article     Date:  2002-10-24
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  66     ISSN:  1539-3755     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2002 Oct 
Date Detail:
Created Date:  2002-11-21     Completed Date:  2003-01-10     Revised Date:  2003-11-04    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  United States    
Other Details:
Languages:  eng     Pagination:  046132     Citation Subset:  -    
Department of Physics-Theoretical Physics, University of Oxford, 1 Keble Road, United Kingdom.
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