Physics – Condensed Matter
Scientific paper
2001-01-13
J. Phys. A 35 (2002) 1325
Physics
Condensed Matter
16 pages, LaTex
Scientific paper
10.1088/0305-4470/35/6/301
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.
Ahmadi Nahid
Alimohammadi Masoud
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