Autonomous models solvable through the full interval method

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.

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Cited by in corpus (2)

• Exact correlation functions in particle-reaction models with immobile particles
• The spectrum and the phase transition of models solvable through the full interval method