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Exactly solvable models through the empty interval method, for more-than-two-site interactions

M. Khorrami·A. Aghamohammadi·M. Alimohammadi
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Abstract

Single-species reaction-diffusion systems on a one-dimensional lattice are considered, in them more than two neighboring sites interact. Constraints on the interaction rates are obtained, that guarantee the closedness of the time evolution equation for $E_n(t)$'s, the probability that $n$ consecutive sites are empty at time $t$. The general method of solving the time evolution equation is discussed. As an example, a system with next-nearest-neighbor interaction is studied.

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M. Khorrami, A. Aghamohammadi, M. Alimohammadi. 2001-12-29. Exactly solvable models through the empty interval method, for more-than-two-site interactions. https://doi.org/10.1088/0305-4470%2F36%2F2%2F304

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