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A hard-sphere model on generalized Bethe lattices: dynamics

✍ Scribed by Hansen-Goos, Hendrik; Weigt, Martin

Book ID: 121740950
Publisher: Institute of Physics
Year: 2005
Tongue: English
Weight: 1009 KB
Volume: 2005
Category: Article
ISSN: 1742-5468
DOI: 10.1088/1742-5468/2005/08/P08001

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The dynamic epidemic model considers the spreading of a cluster in a medium containing a fraction x of mobile particles which are pushed by the propagation front. This model is analytically studied on the Bethe lattice for any branching rate z. We give the exact solution Xc = (z 2 -1 )/z 2 for the p