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The symmetric simple exclusion process (SEP) is a paradigmatic model of diffusion in a single-file geometry, in which the particles cannot cross. In this model, the study of currents have attracted a lot of attention. In particular, the…

Statistical Mechanics · Physics 2024-02-09 Aurélien Grabsch , Pierre Rizkallah , Olivier Bénichou

The symmetric simple exclusion process (SEP) is a paradigmatic model of transport, both in and out-of-equilibrium. In this model, the study of currents and their fluctuations has attracted a lot of attention. In finite systems of arbitrary…

Statistical Mechanics · Physics 2024-11-27 Théotim Berlioz , Davide Venturelli , Aurélien Grabsch , Olivier Bénichou

The one dimensional symmetric simple exclusion process (SSEP) is one of the very few exactly soluble models of non-equilibrium statistical physics. It describes a system of particles which diffuse with hard core repulsion on a one…

Statistical Mechanics · Physics 2015-05-20 Bernard Derrida

Two influential exact results in classical one-dimensional diffusive transport are about current statistics for the symmetric simple exclusion process: one in the stationary state on a finite line coupled with two unequal reservoirs at the…

Statistical Mechanics · Physics 2026-05-07 Kapil Sharma , Soumyabrata Saha , Sandeep Jangid , Tridib Sadhu

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

The Symmetric Exclusion Process (SEP), in which particles hop symmetrically on a discrete line with hard-core constraints, is a paradigmatic model of subdiffusion in confined systems. This anomalous behavior is a direct consequence of…

Statistical Mechanics · Physics 2018-06-13 Alexis Poncet , Olivier Bénichou , Vincent Démery , Gleb Oshanin

We explore how the interplay of finite availability, carrying capacity of particles at different parts of a spatially extended system and particle diffusion between them control the steady state currents and density profiles in a…

Statistical Mechanics · Physics 2024-12-04 Sourav Pal , Parna Roy , Abhik Basu

The symmetric simple exclusion process (SSEP) is a paradigmatic model of classical non-equilibrium dynamics. Exact results for large deviations of particle current in the SSEP have been obtained in various settings using integrability-based…

Statistical Mechanics · Physics 2026-05-26 Soumyabrata Saha , Sandeep Jangid , Kapil Sharma , Tridib Sadhu

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

We introduce a multi-species generalization of the symmetric simple exclusion process with open boundaries. This model possesses the property of being integrable and appears as physically relevant because the boundary conditions can be…

Statistical Mechanics · Physics 2017-02-01 Matthieu Vanicat

The asymmetric simple exclusion process (ASEP) is a paradigmatic driven-diffusive system that describes the asymmetric diffusion of particles with hardcore interactions in a lattice. Although the ASEP is known as an exactly solvable model,…

Statistical Mechanics · Physics 2024-05-16 Yuki Ishiguro , Jun Sato

We show, using the macroscopic fluctuation theory of Bertini, De Sole, Gabrielli, Jona-Lasinio, and Landim, that the statistics of the current of the symmetric simple exclusion process (SSEP) connected to two reservoirs are the same on an…

Statistical Mechanics · Physics 2013-06-14 Eric Akkermans , Thierry Bodineau , Bernard Derrida , Ohad Shpielberg

The asymmetric simple exclusion process (ASEP) is a paradigmatic nonequilibrium many-body system that describes the asymmetric random walk of particles with exclusion interactions in a lattice. Although the ASEP is recognized as an exactly…

Statistical Mechanics · Physics 2024-03-05 Yuki Ishiguro , Jun Sato

We use the macroscopic fluctuation theory (MFT) to evaluate the probability distribution P of extreme values of integrated current J at a specified time t=T in the symmetric simple exclusion process (SSEP) on an infinite line. As shown…

Statistical Mechanics · Physics 2015-06-19 Arkady Vilenkin , Baruch Meerson , Pavel V. Sasorov

We study the dynamics of symmetric exclusion process (SEP) in the presence of stochastic resetting to two possible specific configurations -- with rate $r_1$ (respectively, $r_2$) the system is reset to a step-like configuration where all…

Statistical Mechanics · Physics 2020-08-27 Onkar Sadekar , Urna Basu

We address how the interplay between the finite availability and carrying capacity of particles at different parts of a spatially extended system can control the steady state currents and density profiles in the one-dimensional…

Statistical Mechanics · Physics 2024-08-05 Astik Haldar , Parna Roy , Erwin Frey , Abhik Basu

We explore how the disorder impacts the current fluctuations in the symmetric simple exclusion process (SSEP) within a heterogeneous environment. First, we analyze the SSEP with a defect site under the periodic boundary conditions. We…

Statistical Mechanics · Physics 2025-01-22 Issei Sakai , Takuma Akimoto

We consider the one dimensional symmetric simple exclusion process (SSEP) with additional births and deaths restricted to a subset of configurations where there is a leftmost hole and a rightmost particle. At a fixed rate birth of particles…

Probability · Mathematics 2014-01-07 Anna De Masi , Pablo A. Ferrari , Errico Presutti

The asymmetric simple exclusion process (ASEP) is a paradigm for non-equilibrium physics that appears as a building block to model various low-dimensional transport phenomena, ranging from intracellular traffic to quantum dots. We review…

Statistical Mechanics · Physics 2015-05-27 Kirone Mallick

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
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