Exactly solvable reaction diffusion models on a Cayley tree

Details Exactly solvable reaction diffusion models on a Cayley tree Exactly solvable reaction diffusion models on a Cayley tree

2006-12-15

arxiv.org/abs/cond-mat/0612407v3

Eur. Phys. J. B56 (2007) 243

Physics

Condensed Matter

Statistical Mechanics

9 pages, 2 figures

Scientific paper

10.1140/epjb/e2007-00103-x

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.

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