Eur. Phys. J. B (2012) 85: 134
https://doi.org/10.1140/epjb/e2012-20979-3

Regular Article

Autonomous models solvable through the full interval method

Department of Physics, Alzahra University, 19938-93973 Tehran, Iran

^a e-mail: mamwad@mailaps.org

Received: 1 December 2011
Received in final form: 16 February 2012
Published online: 26 April 2012

Abstract

The most general exclusion single species one dimensional reaction-diffusion models with nearest-neighbor interactions which are both autonomous and can be solved exactly through full interval method are introduced. Using a generating function method, the general solution for F_n, the probability that n consecutive sites be full, is obtained. Some other correlation functions of number operators at nonadjacent sites are also explicitly obtained. It is shown that for a special choice of initial conditions some correlation functions of number operators called full intervals remain uncorrelated.