Solvable multi-species reaction–diffusion processes with particle-dependent hopping rates

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On the solvable multi–species reaction–diffusion processes

A family of one–dimensional multi–species reaction–diffusion processes on a lattice is introduced. It is shown that these processes are exactly solvable, provided a nonspectral matrix equation is satisfied. Some general remarks on the solutions to this equation, and some special solutions are given. The large–time behavior of the conditional probabilities of such systems are also investigated. ...

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ژورنال

عنوان ژورنال: Journal of Statistical Mechanics: Theory and Experiment

سال: 2009

ISSN: 1742-5468

DOI: 10.1088/1742-5468/2009/02/p02001