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p-species integrable reaction-diffusion processes

M. Alimohammadi·N. Ahmadi
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Abstract

We consider a process in which there are p-species of particles, i.e. A_1,A_2,...,A_p, on an infinite one-dimensional lattice. Each particle $A_i$ can diffuse to its right neighboring site with rate $D_i$, if this site is not already occupied. Also they have the exchange interaction A_j+A_i --> A_i+A_j with rate $r_{ij}.$ 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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M. Alimohammadi, N. Ahmadi. 2001-01-13. p-species integrable reaction-diffusion processes. https://doi.org/10.1088/0305-4470%2F35%2F6%2F301

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