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We study the steady state of the two-species Asymmetric Simple Exclusion Process (ASEP) with open boundary conditions. The matrix product method works for the determination of the stationary probability distribution. Several physical…

统计力学 · 物理学 2007-05-23 Masaru Uchiyama

In this paper we analyze the steady state of the Asymmetric Simple Exclusion process with open boundaries and second class particles by deforming it through the introduction of spectral parameters. The (unnormalized) probabilities of the…

数学物理 · 物理学 2015-06-02 Luigi Cantini

The effect of a moving defect particle for the one-dimensional partially asymmetric simple exclusion process on a ring is considered. The current of the ordinary particles, the speed of the defect particle and the density profile of the…

统计力学 · 物理学 2007-05-23 Tomohiro Sasamoto

We consider single-file diffusion in an open system with two species $A,B$ of particles. At the boundaries we assume different reservoir densities which drive the system into a non-equilibrium steady state. As a model we use an…

统计力学 · 物理学 2007-05-23 A. Brzank , G. M. Schütz

We derive a formula for the quasi-potential of one-dimensional symmetric exclusion process in weak contact with reservoirs. The interaction with the boundary is so weak that, in the diffusive scale, the density profile evolves as the one of…

概率论 · 数学 2023-08-22 Claudio Landim , Sonia Velasco

Exclusive diffusion on a one-dimensional lattice is studied. In the model particles hop stochastically into both directions with different rates. At the ends of the lattice particles are injected and removed. The exact stationary…

凝聚态物理 · 物理学 2009-10-22 Sven Sandow

We study a system composed of two parallel totally asymmetric simple exclusion processes with open boundaries, where the particles move in the two lanes in opposite directions and are allowed to jump to the other lane with rates inversely…

统计力学 · 物理学 2007-08-23 Robert Juhasz

We study a totally asymmetric simple exclusion process with open boundary conditions and local resetting at the injection node. We investigate the stationary state of the model, using both mean-field approximation and kinetic Monte Carlo…

统计力学 · 物理学 2024-02-22 Alessandro Pelizzola , Marco Pretti

We consider the one-dimensional partially asymmetric exclusion model with open boundaries. The model describes a system of hard-core particles that hop stochastically in both directions with different rates. At both boundaries particles are…

凝聚态物理 · 物理学 2009-10-28 Fabian H. L. Essler , Vladimir Rittenberg

We study the one-dimensional asymmetric simple exclusion process (ASEP) with open boundary conditions. Particles are injected and ejected at both boundaries. It is clarified that the steady state of the model is intimately related to the…

统计力学 · 物理学 2009-11-10 Masaru Uchiyama , Tomohiro Sasamoto , Miki Wadati

We consider an open one dimensional lattice gas on sites $i=1,...,N$, with particles jumping independently with rate 1 to neighboring interior empty sites, the {\it simple symmetric exclusion process}. The particle fluxes at the left and…

凝聚态物理 · 物理学 2015-06-24 B. Derrida , J. L. Lebowitz , E. R. Speer

We study the partially asymmetric exclusion process with open boundaries. We generalise the matrix approach previously used to solve the special case of total asymmetry and derive exact expressions for the partition sum and currents valid…

统计力学 · 物理学 2009-10-31 R. A. Blythe , M. R. Evans , F. Colaiori , F. H. L. Essler

In this article, we investigate a multispecies generalization of the single-species asymmetric simple exclusion process defined on an open one-dimensional lattice. We devise an exact projection scheme to find the phase diagram in terms of…

统计力学 · 物理学 2021-02-03 Dipankar Roy

We explore the stationary densities in totally asymmetric exclusion processes (TASEP) with open boundary conditions and spatially inhomogeneous hopping rates. We calculate the steady state density profiles that characterise the associated…

统计力学 · 物理学 2024-10-31 Sudip Mukherjee , Abhik basu

We investigate the stationary state of Symmetric and Totally Asymmetric Simple Exclusion Processes with local resetting, on a one-dimensional lattice with periodic boundary conditions, using mean-field approximations, which appear to be…

统计力学 · 物理学 2021-05-17 A. Pelizzola , M. Pretti , M. Zamparo

An asymmetric exclusion model on an open chain with random rates for hopping particles, where overtaking is also possible, is studied numerically and by computer simulation. The phase structure of the model and the density profiles near the…

统计力学 · 物理学 2007-05-23 A. Tonddast-Navaei , V. Karimipour , M. R. Ejtehadi

We study a two-species partially asymmetric exclusion process where the left boundary is permeable for the `slower' species but the right boundary is not. We find a matrix product solution for the stationary state, and the exact stationary…

统计力学 · 物理学 2018-02-16 Arvind Ayyer , Caley Finn , Dipankar Roy

We consider the asymmetric simple exclusion process (ASEP) on a semi-infinite chain which is coupled at the end to a reservoir with a particle density that changes periodically in time. It is shown that the density profile assumes a…

统计力学 · 物理学 2009-11-13 Vladislav Popkov , Mario Salerno , Gunter M. Schutz

We study the one dimensional partially asymmetric simple exclusion process (ASEP) with open boundaries, that describes a system of hard-core particles hopping stochastically on a chain coupled to reservoirs at both ends. Derrida, Evans,…

统计力学 · 物理学 2009-10-30 Kirone Mallick , Sven Sandow

Generic inhomogeneous steady states in an asymmetric exclusion process on a ring with a pair of point bottlenecks are studied. We show that, due to an underlying universal feature, measurements of coarse-grained steady-state densities in…

统计力学 · 物理学 2014-08-15 Niladri Sarkar , Abhik Basu
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