Eur. Phys. J. B 47, 583-586 (2005)
https://doi.org/10.1140/epjb/e2005-00358-1

Models solvable through the empty-interval method

Department of Physics, Alzahra University, Tehran 19938-91167, Iran

Corresponding authors: ^a mohamadi@alzahra.ac.ir - ^b mamwad@mailaps.org

Received: 1 May 2005
Revised: 22 June 2005
Published online: 17 November 2005

Abstract

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).