Exactly solvable models through the generalized empty interval method: multi-species and more-than-two-site interactions

Details Exactly solvable models through the generalized empty interval method: multi-species and more-than-two-site interactions Exactly solvable models through the generalized empty interval method: multi-species and more-than-two-site interactions

2003-06-19

arxiv.org/abs/cond-mat/0306501v3

Int. J. Mod. Phys. B18 (2004) 2047-2055

Physics

Condensed Matter

Statistical Mechanics

10 pages, LaTeX

Scientific paper

10.1142/S0217979204025130

Multi-species reaction-diffusion systems, with more-than-two-site interaction on a one-dimensional lattice are considered. Necessary and sufficient constraints on the interaction rates are obtained, that guarantee the closedness of the time evolution equation for $E^{\mathbf a}_n(t)$'s, the expectation value of the product of certain linear combination of the number operators on $n$ consecutive sites at time $t$.

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