Solvable multispecies reaction-diffusion processes
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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A family of diffusion–annihilation processes is introduced, which is exactly solvable. This family contains parameters that control the diffusionand annihilationrates. The solution is based on the Bethe ansatz and using special boundary conditions to represent the reaction. The processes are investigated, both on the lattice and on the continuum. Special cases of this family of processes are th...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2001
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.64.011101