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20042016
most citedMatrix Product Steady States as Superposition of Product Shock Measures in 1D Driven Systems

25 citations · 89 across the 9 of their papers we have counts for

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cond-mat.stat-mech2016

Discrete-time analysis of traveling wave solutions and steady-state of PASEP with open boundaries

S. R. Masharian, F. Zamani

We consider the dynamics of a single shock in a partially asymmetric simple exclusion process (PASEP) on a finite lattice with open boundaries in the sublattice-parallel updating s…

cond-mat.stat-mech2014★ 5 cited

Particle current fluctuations in a variant of asymmetric Glauber model

S. R. Masharian, P. Torkaman, F. H. Jafarpour

We study the total particle current fluctuations in a one-dimensional stochastic system of classical particles consisting of branching and death processes which is a variant of asy…

cond-mat.stat-mech2011★ 2 cited

One-transit paths and steady-state of a non-equilibrium process in a discrete-time update

Vahid Fayaz, Farhad H. Jafarpour, Seyedeh Raziyeh Masharian +1

We have shown that the partition function of the Asymmetric Simple Exclusion Process with open boundaries in a sublattice-parallel updating scheme is equal to that of a two-dimensi…

cond-mat.stat-mech2009★ 20 cited

Temporal evolution of product shock measures in TASEP with sublattice-parallel update

F. H. Jafarpour, S. R. Masharian

It is known that when the steady state of a one-dimensional multispecies system, which evolves via a random-sequential updating mechanism, is written in terms of a linear combinati…

cond-mat.stat-mech2008★ 4 cited

Repelling Random Walkers in a Diffusion-Coalescence System

F. H. Jafarpour, S. R. Masharian

We have shown that the steady state probability distribution function of a diffusion-coalescence system on a one-dimensional lattice of length L with reflecting boundaries can be w…

cond-mat.stat-mech2007★ 25 cited

Matrix Product Steady States as Superposition of Product Shock Measures in 1D Driven Systems

F H Jafarpour, S R Masharian

It is known that exact traveling wave solutions exist for families of (n+1)-states stochastic one-dimensional non-equilibrium lattice models with open boundaries provided that some…

cond-mat.stat-mech2006★ 13 cited

The Study of Shocks in Three-States Driven-Diffusive Systems: A Matrix Product Approach

F H Jafarpour, S R Masharian

We study the shock structures in three-states one-dimensional driven-diffusive systems with nearest neighbors interactions using a matrix product formalism. We consider the cases i…

cond-mat.stat-mech2005★ 16 cited

Exact Shock Profile for the ASEP with Sublattice-Parallel Update

F H Jafarpour, F E Ghafari, S R Masharian

We analytically study the one-dimensional Asymmetric Simple Exclusion Process (ASEP) with open boundaries under sublattice-parallel updating scheme. We investigate the stationary s…

cond-mat.stat-mech2004★ 4 cited

Exact Solution of a Reaction-Diffusion Model with Particle Number Conservation

F. H. Jafarpour, S. R. Masharian

We analytically investigate a 1d branching-coalescing model with reflecting boundaries in a canonical ensemble where the total number of particles on the chain is conserved. Exact…