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We investigate the current properties in the totally asymmetric simple exclusion process (TASEP) on a quenched random energy landscape. In low- and high-density regimes, the properties are characterized by single-particle dynamics. In the…

Statistical Mechanics · Physics 2023-05-29 Issei Sakai , Takuma Akimoto

We present new results for the current as a function of transmission rate in the one dimensional totally asymmetric simple exclusion process (TASEP) with a blockage that lowers the jump rate at one site from one to r < 1. Exact finite…

comp-gas · Physics 2016-08-31 Steven A. Janowsky , Joel L. Lebowitz

The totally asymmetric simple exclusion process (TASEP) on Z with the Bernoulli-rho measure as initial conditions, 0<rho<1, is stationary. It is known that along the characteristic line, the current fluctuates as of order t^{1/3}. The…

Mathematical Physics · Physics 2012-10-29 Jinho Baik , Patrik L. Ferrari , Sandrine Péché

The totally asymmetric simple exclusion process (TASEP), a well-known model in its strictly one-dimensional (chain) version, is generalized to cylinder (nanotube) and ribbon (nanoribbon) geometries. A mean-field theoretical description is…

Statistical Mechanics · Physics 2013-10-22 R. B. Stinchcombe , S. L. A. de Queiroz , M. A. G. Cunha , Belita Koiller

The TASEP is a paradigmatic model of out-of-equilibrium statistical physics, for which many quantities have been computed, either exactly or by approximate methods. In this work we study two new kinds of observables that have some relevance…

Statistical Mechanics · Physics 2017-09-20 Julien Cividini , Cécile Appert-Rolland

We investigate a balance network of the asymmetric simple exclusion process (ASEP). Subsystems consisting of ASEPs are connected by bidirectional links with each other, which results in balance between every pair of subsystems. The network…

Statistical Mechanics · Physics 2013-02-18 Takahiro Ezaki , Katsuhiro Nishinari

The asymmetric simple exclusion process (ASEP) is a fundamental stochastic model describing asymmetric many-particle diffusion with hard-core interactions on a one-dimensional lattice, and has been widely applied in the study of…

Statistical Mechanics · Physics 2026-03-11 Yuki Ishiguro , Yasunobu Ando

The totally asymmetric exclusion process (TASEP) with periodic boundaries is considered as traffic flow model. The large-L approximation of the stationary state is used for the derivation of the time-headway distribution (an important…

Statistical Mechanics · Physics 2018-01-08 Pavel Hrabák , Milan Krbálek

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…

Statistical Mechanics · Physics 2009-11-13 Vladislav Popkov , Mario Salerno , Gunter M. Schutz

We examine the entropy of non-equilibrium stationary states of boundary driven totally asymmetric simple exclusion processes. As a consequence, we obtain that the Gibbs-Shannon entropy of the non equilibrium stationary state converges to…

Probability · Mathematics 2015-06-15 Cédric Bernardin , Patrícia Gonçalves , Claudio Landim

Single-file Brownian motion in periodic structures is an important process in nature and technology, which becomes increasingly amenable for experimental investigation under controlled conditions. To explore and understand generic features…

Statistical Mechanics · Physics 2019-11-20 Dominik Lips , Artem Ryabov , Philipp Maass

A non-equilibrium particle transport model, the totally asymmetric exclusion process, is studied on a one-dimensional lattice with a hierarchy of fixed long-range connections. This model breaks the particle-hole symmetry observed on an…

Statistical Mechanics · Physics 2009-07-10 Jakub Otwinowski , Stefan Boettcher

We define and study one-dimensional model of irreversible aggregation of particles obeying a discrete-time kinetics which is a special limit of the generalized Totally Asymmetric Simple Exclusion Process (gTASEP) on open chains. The model…

Statistical Mechanics · Physics 2017-05-10 Nadezhda Zh. Bunzarova , Nina Ch. Pesheva

We study a simple transport model driven out of equilibrium by reservoirs at the boundaries, corresponding to the hydrodynamic limit of the symmetric simple exclusion process. We show that a nonlocal transformation of densities and currents…

Statistical Mechanics · Physics 2007-12-03 Julien Tailleur , Jorge Kurchan , Vivien Lecomte

We introduce a new model to study the oscillations of opposite flows sharing a common bottleneck and moving on two Totally Asymmetric Simple Exclusion Process (TASEP) lanes. We provide a theoretical analysis of the phase diagram, valid when…

Statistical Mechanics · Physics 2012-06-15 Asja Jelić , Cécile Appert-Rolland , Ludger Santen

Physical systems driven away from equilibrium by an external controller dissipate heat to the environment; the excess entropy production in the thermal reservoir can be interpreted as a "cost" to transform the system in a finite time. The…

Statistical Mechanics · Physics 2024-12-31 Jérémie Klinger , Grant M. Rotskoff

We study the steady-state behavior of a driven non-equilibrium lattice gas of hard-core particles with next-nearest-neighbor interaction. We calculate the exact stationary distribution of the periodic system and for a particular line in the…

Statistical Mechanics · Physics 2009-10-31 T. Antal , G. M. Schütz

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…

Statistical Mechanics · Physics 2024-10-31 Sudip Mukherjee , Abhik basu

We study asymmetric exclusion processes (TASEP) on a nonuniform one-dimensional ring consisting of two segments having unequal hopping rates, or {\em defects}. We allow weak particle nonconservation via Langmuir kinetics (LK), that are…

Statistical Mechanics · Physics 2017-01-12 Bijoy Daga , Souvik Mondal , Anjan Kumar Chandra , Tirthankar Banerjee , Abhik Basu

Smooth transportation has drawn the attention of many researchers and practitioners in several fields. In the present paper, we propose a modified model of a totally asymmetric simple exclusion process (TASEP), which includes multiple…

Cellular Automata and Lattice Gases · Physics 2019-10-16 Hiroki Yamamoto , Daichi Yanagisawa , Katsuhiro Nishinari