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Non-equilibrium systems are often characterized by the transport of some quantity at a macroscopic scale, such as, for instance, a current of particles through a wire. The Asymmetric Simple Exclusion Process (ASEP) is a paradigm for…

Statistical Mechanics · Physics 2013-05-30 Mieke Gorissen , Alexandre Lazarescu , Kirone Mallick , Carlo Vanderzande

We study the totally asymmetric simple exclusion process (TASEP) on complex networks, as a paradigmatic model for transport subject to excluded volume interactions. Building on TASEP phenomenology on a single segment and borrowing ideas…

Statistical Mechanics · Physics 2011-08-09 I. Neri , N. Kern , A. Parmeggiani

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

One-dimensional asymmetric simple exclusion processes (ASEPs) which are coupled to external reservoirs via diffusive transport are studied. These ASEPs consist of active compartments characterized by directed movements of the particles and…

Statistical Mechanics · Physics 2007-05-23 Stefan Klumpp , Reinhard Lipowsky

The generalized totally asymmetric exclusion process (TASEP) [J. Stat. Mech. P05014 (2012)] is an integrable generalization of the TASEP equipped with an interaction, which enhances the clustering of particles. The process interpolates…

Mathematical Physics · Physics 2015-02-24 A. E. Derbyshev , A. M. Povolotsky , V. B. Priezzhev

Driven diffusive systems constitute paradigmatic models of nonequilibrium physics. Among them, a driven lattice gas known as the asymmetric simple exclusion process (ASEP) is the most prominent example for which many intriguing exact…

Statistical Mechanics · Physics 2020-06-24 Dominik Lips , Artem Ryabov , Philipp Maass

We study the Braess paradox in the transport network as originally proposed by Braess with totally asymmetric exclusion processes (TASEPs) on the edges. The Braess paradox describes the counterintuitive situation in which adding an edge to…

Physics and Society · Physics 2016-12-28 Stefan Bittihn , Andreas Schadschneider

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…

Dynamical Systems · Mathematics 2026-04-20 Kilian Pioch , Lars Grüne , Thomas Kriecherbauer , Michael Margaliot

The totally asymmetric simple exclusion process (TASEP) is a basic model of statistical mechanics that has found numerous applications. We consider the case of TASEP with a finite chain where particles may enter from the left and leave to…

Dynamical Systems · Mathematics 2020-06-23 Lars Grüne , Thomas Kriecherbauer , Michael Margaliot

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 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…

Optimization and Control · Mathematics 2025-01-29 Lars Grüne , Kilian Pioch , Thomas Kriecherbauer , Michael Margaliot

Theoretical advances in the study of non-equilibrium phenomena are briefly reviewed with emphasis on steady state properties of one-dimensional driven lattice gases. The presentation is focused on the totally asymmetric simple-exclusion…

Statistical Mechanics · Physics 2008-03-19 J. G. Brankov , N. C. Pesheva , N. Zh. Bunzarova

We extend the paradigmatic and versatile TASEP (Totally Asymmetric Simple Exclusion Process) for stochastic 1d transport to allow for two different particle species, each having specific entry and exit rates. We offer a complete mean-field…

Statistical Mechanics · Physics 2022-04-06 Pierre Bonnin , Ian Stansfield , M. Carmen Romano , Norbert Kern

Driven diffusive systems are often used as simple discrete models of collective transport phenomena in physics, biology or social sciences. Restricting attention to one-dimensional geometries, the asymmetric simple exclusion process (ASEP)…

Statistical Mechanics · Physics 2015-01-06 Diana Khoromskaia , Rosemary J. Harris , Stefan Grosskinsky

One of the main features of statistical systems out of equilibrium is the currents they exhibit in their stationary state: microscopic currents of probability between configurations, which translate into macroscopic currents of mass,…

Statistical Mechanics · Physics 2016-01-05 Alexandre Lazarescu

We investigate the total asymmetric exclusion process by analyzing the dynamics of the shock. Within this approach we are able to calculate the fluctuations of the number of particles and density profiles not only in the stationary state…

Statistical Mechanics · Physics 2010-05-11 Ludger Santen , Cecile Appert

The fluctuations of the current for the one-dimensional totally asymmetric exclusion process with $L$ sites are studied in the relaxation regime of times $T\sim L^{3/2}$. Using Bethe ansatz for the periodic system with an evolution…

Statistical Mechanics · Physics 2015-01-22 Sylvain Prolhac

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…

Statistical Mechanics · Physics 2017-09-20 C. Appert-Rolland , J. Cividini , H. J. Hilhorst

We consider the one-dimensional totally asymmetric simple exclusion process (TASEP) with position-dependent hopping rates. The problem is solved,in a mean field/adiabatic approximation, for a general (smooth) form of spatial rate variation.…

Statistical Mechanics · Physics 2011-06-15 R. B. Stinchcombe , S. L. A. de Queiroz

The dynamics of an asymmetric tracer in the symmetric simple exclusion process (SEP) is mapped, in the continuous scaling limit, to the local current through the origin in the zero-range process (ZRP) with a biased bond. This allows us to…

Statistical Mechanics · Physics 2022-11-23 Rahul Dandekar , Kirone Mallick