Autonomous models solvable through the full interval method

Details Autonomous models solvable through the full interval method Autonomous models solvable through the full interval method

2012-02-23

arxiv.org/abs/1202.5116v1

Eur. Phys. J. B85 (2012) 134

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1140/epjb/e2012-20979-3

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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