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

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

2001-12-29

arxiv.org/abs/cond-mat/0112490v1

J. Phys. A36 (2003) 345

Physics

Condensed Matter

19 pages, LaTeX2e

Scientific paper

10.1088/0305-4470/36/2/304

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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