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We study the behaviour of a Symmetric Exclusion Process (SEP) in presence of stochastic resetting where the configuration of the system is reset to a step-like profile with a fixed rate $r.$ We show that the presence of resetting affects…

Statistical Mechanics · Physics 2019-10-16 Urna Basu , Anupam Kundu , Arnab Pal

We study the behaviour of a symmetric exclusion process in the presence of non-Markovian stochastic resetting, where the configuration of the system is reset to a step-like profile at power-law waiting times with an exponent $\alpha$. We…

Statistical Mechanics · Physics 2023-08-22 Seemant Mishra , Urna Basu

The symmetric simple exclusion process (SEP), where diffusive particles cannot overtake each other, is a paradigmatic model of transport in the single-file geometry. In this model, the study of currents has attracted a lot of attention, but…

Statistical Mechanics · Physics 2024-09-12 Aurélien Grabsch , Hiroki Moriya , Kirone Mallick , Tomohiro Sasamoto , Olivier Bénichou

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

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 effects of a stochastic reset, to its initial configuration, is studied in the exactly solvable one-dimensional coagulation-diffusion process. A finite resetting rate leads to a modified non-equilibrium stationary state. If in addition…

Statistical Mechanics · Physics 2014-02-04 Xavier Durang , Malte Henkel , Hyunggyu Park

We consider from a microscopic perspective large deviation properties of several stochastic interacting particle systems, using their mapping to integrable quantum spin systems. A brief review of recent work is given and several new results…

Statistical Mechanics · Physics 2015-10-19 Gunter M. Schütz

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

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

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

Stochastic resetting breaks detailed balance and drives the formation of nonequilibrium steady states . Here, we consider a chain of diffusive processes $x_i(t)$ that interact unilaterally: at random time intervals, the process $x_n$…

Statistical Mechanics · Physics 2025-02-06 Henry Alston , Callum Britton , Thibault Bertrand

One of the characteristic features of a stochastic process under resetting is that the probability density converges to a nonequilibrium stationary state (NESS). In addition, the approach to the stationary state exhibits a dynamical phase…

Statistical Mechanics · Physics 2021-09-01 Paul C Bressloff

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 propose and study a one-dimensional (1D) model consisting of two lanes with open boundaries. One of the lanes executes diffusive and the other lane driven unidirectional or asymmetric exclusion dynamics, which are mutually coupled…

Statistical Mechanics · Physics 2023-11-27 Atri Goswami , Utsa Dey , Sudip Mukherjee

External flows, such as shear flow, add directional biases to particle motion, introducing anisotropic behavior into the system. Here, we explore the non-equilibrium dynamics that emerge from the interplay between linear shear flow and…

Statistical Mechanics · Physics 2024-10-15 Iman Abdoli , Kristian Stølevik Olsen , Hartmut Löwen

The asymmetric simple exclusion process (ASEP) with periodic boundary conditions is investigated for shuffled dynamics. In this type of update, in each discrete timestep the particles are updated in a random sequence. Such an update is…

Statistical Mechanics · Physics 2015-06-25 Marko Woelki , Andreas Schadschneider , Michael Schreckenberg

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 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

Diffusion with stochastic resetting, instantaneous returns of a diffusing particle to a reference point, creates a stationary probability distribution. The paradigm is extended here to a doubly stochastic protocol in which the resetting…

Statistical Mechanics · Physics 2025-10-01 Maxence Arutkin , Shlomi Reuveni

We study the symmetric Dyson exclusion process (SDEP) - a lattice gas with exclusion and long-range, Coulomb-type interactions that emerge both as the maximal-activity limit of the symmetric exclusion process and as a discrete version of…

Statistical Mechanics · Physics 2026-05-20 Ali Zahra , Jerome Dubail , Gunter M. Schütz
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