Title
Polymer growth in solution and the dynamic epidemic model: dimensionality and critical exponents Polymer growth in solution and the dynamic epidemic model: dimensionality and critical exponents
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
London ,
Subject
Physics
Chemistry
Source (journal)
Physics and chemistry of liquids. - London
Volume/pages
48(2010) :3 , p. 403-408
ISSN
0031-9104
ISI
000278438700009
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
Recent interest in solutions of the static and dynamic epidemic models has led us to reconsider some features of the critical exponents of these models. In particular, our starting point is that the known values of such exponents take different values depending on dimensionality d, for dynamic epidemics, depending also on the looped nature of the chain, but the universality is regained for d > 1. According to this superuniversality property for d > 1, we could predict that the critical exponents γ and ν for dynamic epidemics on a square lattice should be 43/18 and 4/3, respectively. Furthermore, from numerical results in literature, we predict the critical exponents for the Potts model in three dimensions and the percolation exponents (q = 1) for d = 1, 2, 3, 4, 5 and d ≥ 6. Other areas of relevance beyond that in the title embrace conduction in heterogeneous media as well as a description of the spreading of a fluid in a medium possessing mobile impurities.
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