Models solvable through the empty-interval method
Statistical Mechanics
2007-05-23 v1
Abstract
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).
Cite
@article{arxiv.cond-mat/0511649,
title = {Models solvable through the empty-interval method},
author = {Amir Aghamohammadi and Mohammad Khorrami},
journal= {arXiv preprint arXiv:cond-mat/0511649},
year = {2007}
}
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8 pages