Exactly solvable reaction diffusion models on a Cayley tree

L. F. Matin (), A. Aghamohammadi () and M. Khorrami ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2007, vol. 56, issue 3, 243-246

Abstract: The most general reaction-diffusion model on a Cayley tree with nearest-neighbor interactions is introduced, which can be solved exactly through the empty-interval method. The stationary solutions of such models, as well as their dynamics, are discussed. Concerning the dynamics, the spectrum of the evolution Hamiltonian is found and shown to be discrete, hence there is a finite relaxation time in the evolution of the system towards its stationary state. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Keywords: 05.40.-a Fluctuation phenomena; random processes; noise; and Brownian motion; 02.50.Ga Markov processes (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1140/epjb/e2007-00103-x

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