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A system consisting of two parallel coupled channels where particles in one of them follow the rules of totally asymmetric exclusion processes (TASEP) and in another one move as in symmetric simple exclusion processes (SSEP) is investigated…

统计力学 · 物理学 2009-11-13 K. Tsekouras , A. B. Kolomeisky

We study a totally asymmetric simple exclusion process (TASEP) with one defect site, hopping rate $q<1$, near the system boundary. Regarding our system as a pair of uniform TASEP's coupled through the defect, we study various methods to…

统计力学 · 物理学 2009-11-13 J. J. Dong , R. K. P. Zia , B. Schmittmann

We consider the totally asymmetric simple exclusion process (TASEP) starting with a shock discontinuity at the origin, with asymptotic densities $\lambda$ to the left of the origin and $\rho$ to the right of it and $\lambda<\rho$. We find…

概率论 · 数学 2024-01-24 Patrik L. Ferrari , Peter Nejjar

The totally asymmetric simple exclusion process (TASEP) is a paradigmatic lattice model for one-dimensional particle transport subject to excluded-volume interactions. Solving the inhomogeneous TASEP in which particles' hopping rates vary…

统计力学 · 物理学 2023-10-31 Luca Ciandrini , Richmond L. Crisostomo , Juraj Szavits-Nossan

The TASEP is a paradigmatic model from non-equilibrium statistical physics, which describes particles hopping along a lattice of discrete sites. The TASEP is applicable to a broad range of different transport systems, but does not consider…

统计力学 · 物理学 2012-03-20 Chris A. Brackley , Luca Ciandrini , M. Carmen Romano

The one-dimensional totally asymmetric simple exclusion process (TASEP), a Markov process describing classical hard-core particles hopping in the same direction, is considered on a periodic lattice of $L$ sites. The relaxation to the…

统计力学 · 物理学 2016-03-09 Sylvain Prolhac

We study the nonequilibrium steady states in totally asymmetric exclusion processes (TASEP) with open boundary conditions having spatially inhomogeneous hopping rates. Considering smoothly varying hopping rates, we show that the steady…

统计力学 · 物理学 2023-01-03 Atri Goswami , Mainak Chatterjee , Sudip Mukherjee

We develop a power series method for the nonequilibrium steady state of the inhomogeneous one-dimensional totally asymmetric simple exclusion process (TASEP) in contact with two particle reservoirs and with site-dependent hopping rates in…

统计力学 · 物理学 2018-05-31 Juraj Szavits-Nossan , M. Carmen Romano , Luca Ciandrini

The totally asymmetric simple exclusion principle (TASEP) is a fundamental model in nonequilibrium statistical mechanics. It describes the stochastic unidirectional movement of particles along a 1D chain of ordered sites. We consider the…

最优化与控制 · 数学 2025-01-29 Lars Grüne , Kilian Pioch , Thomas Kriecherbauer , Michael Margaliot

The totally asymmetric simple exclusion process (TASEP) is a stochastic model for the unidirectional flow of interacting particles on a 1D-lattice that is much used in systems biology and statistical physics. Its master equation describes…

动力系统 · 数学 2026-04-20 Kilian Pioch , Lars Grüne , Thomas Kriecherbauer , Michael Margaliot

We introduce a new rule of motion for a totally asymmetric exclusion process (TASEP) representing pedestrian traffic on a lattice. Its characteristic feature is that the positions of the pedestrians, modeled as hard-core particles, are…

统计力学 · 物理学 2017-09-20 C. Appert-Rolland , J. Cividini , H. J. Hilhorst

Totally asymmetric simple exclusion processes (TASEP) with particles which occupy more than one lattice site and with a local inhomogeneity far away from the boundaries are investigated. These non-equilibrium processes are relevant for the…

统计力学 · 物理学 2009-11-10 Leah B. Shaw , Anatoly B. Kolomeisky , Kelvin H. Lee

We consider an interacting particle system, which generalizes the classical totally asymmetric simple exclusion process (TASEP), in that each site can contain up to a fixed finite number of particles, and the particle movement is governed…

概率论 · 数学 2026-03-17 Yuliy Baryshnikov , Alexander Stolyar

We investigate the totally asymmetric simple exclusion process (TASEP) in the presence of a bottleneck, i.e. a sequence of consecutive defect sites with reduced hopping rate. The influence of such a bottleneck on the phase diagram is…

元胞自动机与格子气 · 物理学 2009-11-13 Philip Greulich , Andreas Schadschneider

The steady-state currents and densities of a one-dimensional totally asymmetric exclusion process (TASEP) with particles that occlude an integer number ($d$) of lattice sites are computed using various mean field approximations and Monte…

统计力学 · 物理学 2007-05-23 G. W. Lakatos , T. Chou

The discrete-time version of totally asymmetric simple-exclusion process (TASEP) on a finite one-dimensional lattice is studied with the periodic boundary condition. Each particle at a site hops to the next site with probability $0 \leq p…

统计力学 · 物理学 2011-11-03 Yasuyuki Yamada , Makoto Katori

A discrete-time totally asymmetric simple exclusion process on a lattice with open boundaries is considered. There are particles of different types. The type of a particle is characterized by the probability that a particle moves to a…

统计力学 · 物理学 2025-11-04 Marina V. Yashina , Alexander G. Tatashev

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 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

Consider the Totally Asymmetric Simple Exclusion Process (TASEP) on the integer lattice $ \mathbb{Z} $. We study the functional Large Deviations of the integrated current $ \mathsf{h}(t,x) $ under the hyperbolic scaling of space and time by…

概率论 · 数学 2019-02-14 Stefano Olla , Li-Cheng Tsai