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Mathematics  2006 

Solvable reaction-diffusion processes without exclusion

DOI: 10.1063/1.2168398

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Abstract:

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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