A new family of exactly solvable disordered reaction-diffusion systems

Using a matrix product method the steady state of a family of disordered reaction-diffusion systems consisting of different species of interacting classical particles moving on a lattice with periodic boundary conditions is studied. A new generalized quadratic algebra and its matrix representations...

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Bibliographic Details
Published in:Journal of statistical mechanics 2013-09, Vol.2013 (9), p.P09023-12
Main Authors: Ghadermazi, Mohammad, Jafarpour, Farhad H
Format: Article
Language:English
Subjects:
Algebra
Boundary conditions
Lattices
Matrix representation
Statistical mechanics
Steady state
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Summary:Using a matrix product method the steady state of a family of disordered reaction-diffusion systems consisting of different species of interacting classical particles moving on a lattice with periodic boundary conditions is studied. A new generalized quadratic algebra and its matrix representations is introduced. The steady states of two members of this exactly solvable family of systems are studied in detail.
ISSN:1742-5468
1742-5468
DOI:10.1088/1742-5468/2013/09/P09023