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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…

统计力学 · 物理学 2024-11-27 Théotim Berlioz , Davide Venturelli , Aurélien Grabsch , Olivier Bénichou

The Symmetric Exclusion Process (SEP), where particles hop on a 1D lattice with the restriction that there can only be one particle per site, is a paradigmatic model of interacting particle systems. Recently, it has been shown that the…

统计力学 · 物理学 2021-05-05 Alexis Poncet , Olivier Bénichou , Pierre Illien

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…

统计力学 · 物理学 2024-02-09 Aurélien Grabsch , Pierre Rizkallah , Olivier Bénichou

Considering the large deviations of activity and current in the Asymmetric Simple Exclusion Process (ASEP), we show that there exists a non-trivial correspondence between the joint scaled cumulant generating functions of activity and…

统计力学 · 物理学 2022-08-31 Matthieu Vanicat , Eric Bertin , Vivien Lecomte , Eric Ragoucy

We derive the stationary fluctuations for the Facilitated Exclusion Process (FEP) in one dimension in the symmetric, weakly asymmetric and asymmetric cases. Our proof relies on the mapping between the FEP and the zero-range process, and…

概率论 · 数学 2023-05-24 Clément Erignoux , Linjie Zhao

Tracer diffusion in single-file systems, where particles are restricted to move on a line without passing each other, has been a fertile ground to investigate anomalous diffusion and strong memory effects. While the long-time behavior of…

统计力学 · 物理学 2025-05-28 Alexis Poncet , Aurélien Grabsch , Olivier Bénichou

We apply the macroscopic fluctuation theory to analyze the long-time statistics of the position of a tracer in the dense and the dilute limits of diffusive single-file systems. Our explicit results are about the corresponding large…

统计力学 · 物理学 2023-02-01 Jagannath Rana , Tridib Sadhu

We investigate the fluctuations around the average density profile in the weakly asymmetric exclusion process with open boundaries in the steady state. We show that these fluctuations are given, in the macroscopic limit, by a centered…

其他凝聚态物理 · 物理学 2009-11-11 B. Derrida , C. Enaud , C. Landim , S. Olla

The one-dimensional symmetric exclusion process, the simplest interacting particle process, is a lattice-gas made of particles that hop symmetrically on a discrete line respecting hard-core exclusion. The system is prepared on the infinite…

统计力学 · 物理学 2017-04-26 T. Imamura , K. Mallick , T. Sasamoto

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…

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…

统计力学 · 物理学 2018-06-13 Alexis Poncet , Olivier Bénichou , Vincent Démery , Gleb Oshanin

Tracer dynamics in the Symmetric Exclusion Process, where hardcore particles diffuse on an infinite one-dimensional lattice, is a paradigmatic model of anomalous diffusion. While the equilibrium situation has received a lot of attention,…

统计力学 · 物理学 2023-01-26 Aurélien Grabsch , Pierre Rizkallah , Pierre Illien , Olivier Bénichou

We obtain the exact large deviation functions of the density profile and of the current, in the non-equilibrium steady state of a one dimensional symmetric simple exclusion process coupled to boundary reservoirs with slow rates. Compared to…

统计力学 · 物理学 2021-02-03 Bernard Derrida , Ori Hirschberg , Tridib Sadhu

We study the fluctuation properties of the asymmetric simple exclusion process (ASEP) on an infinite one-dimensional lattice. When $N$ particles are initially situated in the negative region with a uniform density $\rho_-=1$, Johansson…

统计力学 · 物理学 2009-11-10 Taro Nagao , Tomohiro Sasamoto

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…

统计力学 · 物理学 2013-06-14 Eric Akkermans , Thierry Bodineau , Bernard Derrida , Ohad Shpielberg

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…

统计力学 · 物理学 2026-05-26 Soumyabrata Saha , Sandeep Jangid , Kapil Sharma , Tridib Sadhu

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…

统计力学 · 物理学 2017-02-01 Matthieu Vanicat

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…

统计力学 · 物理学 2009-11-13 Vladislav Popkov , Mario Salerno , Gunter M. Schutz

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…

数学物理 · 物理学 2012-10-29 Jinho Baik , Patrik L. Ferrari , Sandrine Péché

We study the effect of single biased tracer particle in a bath of other particles performing the random average process (RAP) on an infinite line. We focus on the large time behavior of the mean and the fluctuations of the positions of the…

统计力学 · 物理学 2016-06-22 J. Cividini , A. Kundu , S. N. Majumdar , D. Mukamel
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