Solvable reaction-diffusion processes without exclusion

Details Solvable reaction-diffusion processes without exclusion Solvable reaction-diffusion processes without exclusion

2006-01-09

arxiv.org/abs/cond-mat/0601155v1

Jour. Math. Phys. 47 (2006) 023304

Physics

Condensed Matter

Statistical Mechanics

13 pages, accepted for publication in Jour. Math. Phys

Scientific paper

10.1063/1.2168398

For reaction-diffusion processes without exclusion, in which the particles can exist in the same site of a one-dimensional lattice, we study all the integrable models which can be obtained by imposing a boundary condition on the master equation of the asymmetric diffusion process. The annihilation process is also added. The Bethe ansatz solution and the exact N-particle conditional probabilities are obtained.

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