The field theory approach to percolation processes
نویسندگان
چکیده
منابع مشابه
The Field Theory Approach to Percolation Processes
We review the field theory approach to percolation processes. Specifically, we focus on the so-called simple and general epidemic processes that display continuous nonequilibrium active to absorbing state phase transitions whose asymptotic features are governed respectively by the directed (DP) and dynamic isotropic percolation (dIP) universality classes. We discuss the construction of a field ...
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15 صفحه اولTheory of continuum percolation. II. Mean field theory.
I use a previously introduced mapping between the continuum percolation model and the Potts fluid to derive a mean field theory of continuum percolation systems. This is done by introducing a new variational principle, the basis of which has to be taken, for now, as heuristic. The critical exponents obtained are β = 1, γ = 1 and ν = 0.5, which are identical with the mean field exponents of latt...
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ژورنال
عنوان ژورنال: Annals of Physics
سال: 2005
ISSN: 0003-4916
DOI: 10.1016/j.aop.2004.09.011