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- W2012152401 abstract "Abstract 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 x c = ( z 2 − 1)/ z 2 for the percolation threshold. This is in contrast with the x c = ( z − 1)/ z result for static particles. Moreover, we calculate the critical exponents γ = 1 and ν = 1 characterizing respectively the divergence of the cluster mass and the correlation length at x c . These exponents are found to be the same as for the case of static particles, i.e. for random percolation on the Bethe lattice." @default.
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- W2012152401 date "1996-08-01" @default.
- W2012152401 modified "2023-09-29" @default.
- W2012152401 title "Exact solution of the dynamic epidemic model on the Bethe lattice" @default.
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- W2012152401 doi "https://doi.org/10.1016/0378-4371(96)00103-3" @default.
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