Exactly solvable reaction diffusion models on a Cayley tree

Matin, Laleh Farhang; Aghamohammadi, Amir; Khorrami, Mohammad

Exactly solvable reaction diffusion models on a Cayley tree

Authors

Matin, Laleh Farhang

Aghamohammadi, Amir

Khorrami, Mohammad

Description

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.
9 pages, 2 figures