Solvable reaction-diffusion processes without exclusion
نویسندگان
چکیده
منابع مشابه
Solvable reaction-diffusion processes without exclusion
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 probabilitie...
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A family of one–dimensional multi–species reaction–diffusion processes on a lattice is introduced. It is shown that these processes are exactly solvable, provided a nonspectral matrix equation is satisfied. Some general remarks on the solutions to this equation, and some special solutions are given. The large–time behavior of the conditional probabilities of such systems are also investigated. ...
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We construct a coupled set of nonlinear reaction-diffusion equations which are exactly solvable. The model generalizes both the Burger equation and a Boltzman reaction equation recently introduced by Th. W. Ruijgrok and T. T. Wu. Key-Words : non-linear dynamics, reaction-diffusion, solvable model. October 1993 CPT-93/P.2956 anonymous ftp or gopher: cpt.univ-mrs.fr ∗Bibos and Fakultät für Physik...
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By considering the master equation of the partially asymmetric diffusion process on a one-dimensional lattice, the most general boundary condition (i.e. interactions) for the multi-species reaction-diffusion processes is considered. Resulting system has various interactions including diffusion to left and right, two-particle interactions AαAβ → AγAδ and the extended n-particle drop-push interac...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2006
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.2168398