Models solvable through the empty-interval method

Details Models solvable through the empty-interval method Models solvable through the empty-interval method

2005-11-28

arxiv.org/abs/cond-mat/0511649v1

Eur. Phys. J. B47 (2005) 583

Physics

Condensed Matter

Statistical Mechanics

8 pages

Scientific paper

10.1140/epjb/e2005-00358-1

The most general one dimensional reaction-diffusion model with nearest-neighbor interactions solvable through the empty interval method, and without any restriction on the particle-generation from two adjacent empty sites is studied. It is shown that turning on the reactions which generate particles from two adjacent empty sites, results in a gap in the spectrum of the evolution operator (or equivalently a finite relaxation time).

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