Exactly solvable models through the generalized empty interval method, for multi-species interactions

Details Exactly solvable models through the generalized empty interval method, for multi-species interactions Exactly solvable models through the generalized empty interval method, for multi-species interactions

2002-07-06

arxiv.org/abs/cond-mat/0207175v2

Eur. Phys. J. B31 (2003) 371

Physics

Condensed Matter

18 pages, LaTeX2e, no figures

Scientific paper

10.1140/epjb/e2003-00044-4

Multi-species reaction-diffusion systems, with nearest-neighbor 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 $t$. The constraints are solved for the single-species left-right-symmetric systems. Also, examples of multi-species system for which the evolution equations of $E^{\mathbf a}_n(t)$'s are closed, are given.

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