2008/10/06 by Farhad H Jafarpour, Farhad H. Jafarpour, Ali Aghamohammadi · 1 citation
Mathematics · Physics and Astronomy · #Bernoulli's principle #Computer science #Connection (principal bundle) #Geometry #Kronecker product #Lattice (music) #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Matrix multiplication #Measure (data warehouse) #Physics #Product (mathematics) #Product measure #Pure mathematics #Quadratic equation #Quantum #Quantum mechanics #Random Matrices and Applications #Representation (politics) #Shock (circulatory) #Stochastic processes and statistical mechanics #Superposition principle #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.78.041108
published in Physical Review E 78(4), 041108 (American Physical Society) · 5 pages
openalex publication_date 2008/10/06 · arxiv created 2008/10/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider a generalized coagulation-decoagulation system on a one-dimensional discrete lattice with reflecting boundaries. It is known that a Bernoulli shock measure with two shock fronts might have a simple random-walk dynamics, provided that some constraints on the microscopic reaction rates of this system are fulfilled. Under these constraints the steady state of the system can be written as a linear superposition of such shock measures. We show that the coefficients of this expansion can be calculated using the finite-dimensional representation of the quadratic algebra of the system obtained from a matrix-product approach.