p-species integrable reaction-diffusion processes
Abstract
We consider a process in which there are p-species of particles, i.e. A1,A2,...,Ap, on an infinite one-dimensional lattice. Each particle Ai can diffuse to its right neighboring site with rate Di, if this site is not already occupied. Also they have the exchange interaction Aj+Ai --> Ai+Aj with rate rij. We study the range of parameters (interactions) for which the model is integrable. The wavefunctions of this multi--parameter family of integrable models are found. We also extend the 2--species model to the case in which the particles are able to diffuse to their right or left neighboring sites.
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