2012/07/02 by S. R. Masharian, Farhad H Jafarpour, F. H. Jafarpour +2
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Bernoulli's principle #Dimension (graph theory) #Dynamics (music) #Limit (mathematics) #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Matrix multiplication #Physics #Position (finance) #Product (mathematics) #Quantum mechanics #Relaxation (psychology) #Shock (circulatory) #Statistical physics #Steady state (chemistry) #Stochastic processes and statistical mechanics #Superposition principle #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1088/1742-5468/2012/07/p07024
published as J. Stat. Mech. (2012) P07024 · 10 pages
arxiv created 2012/07/02 · openalex publication_date 2012/07/26 · arxiv updated 2014/03/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We introduce a two-state non-conserving driven-diffusive system in one-dimension under a discrete-time updating scheme. We show that the steady-state of the system can be obtained using a matrix product approach. On the other hand, the steady-state of the system can be expressed in terms of a linear superposition Bernoulli shock measures with random walk dynamics. The dynamics of a shock position is studied in detail. The spectrum of the transfer matrix and the relaxation times to the steady-state have also been studied in the large-system-size limit.