1202.5116 (Mohammad Khorrami et al.)

Autonomous models solvable through the full interval method    [PDF]

Mohammad Khorrami, Amir Aghamohammadi

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.

View original: http://arxiv.org/abs/1202.5116