Models solvable through the empty-interval method
Department of Physics, Alzahra University,
Tehran 19938-91167, Iran
Revised: 22 June 2005
Published online: 17 November 2005
The most general one dimensional reaction-diffusion model with nearest-neighbor interactions solvable through the empty interval method, and without any restriction on the particle-generation from two adjacent empty sites is studied. It is shown that turning on the reactions which generate particles from two adjacent empty sites, results in a gap in the spectrum of the evolution operator (or equivalently a finite relaxation time).
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 02.50.Ga – Markov processes
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005