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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

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

We investigate the effect of quenched spatial disordered hopping rates on the characteristics of the asymmetric simple exclusion process (ASEP) with open boundaries both numerically and by extensive simulations. Disorder averages of the…

统计力学 · 物理学 2009-11-13 M. Ebrahim Foulaadvand , Sanaz Chaaboki , Modjtaba Saalehi

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

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…

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…

统计力学 · 物理学 2015-06-19 Arkady Vilenkin , Baruch Meerson , Pavel V. Sasorov

We study the effects of local inhomogeneities, i.e., slow sites of hopping rate $q<1$, in a totally asymmetric simple exclusion process (TASEP) for particles of size $\ell \geq 1$ (in units of the lattice spacing). We compare the simulation…

统计力学 · 物理学 2008-05-21 J. J. Dong , B. Schmittmann , R. K. P. Zia

For diffusive many-particle systems such as the SSEP (symmetric simple exclusion process) or independent particles coupled with reservoirs at the boundaries, we analyze the density fluctuations conditioned on current integrated over a large…

统计力学 · 物理学 2019-10-02 Bernard Derrida , 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…

统计力学 · 物理学 2023-05-29 Issei Sakai , Takuma Akimoto

We provide a full description for the joint fluctuations of current and occupation time in the one-dimensional nonequilibrium simple symmetric exclusion process, furnishing explicit formulas for the covariances of the limiting Gaussian…

概率论 · 数学 2023-04-28 Dirk Erhard , Tertuliano Franco , Tiecheng Xu

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…

统计力学 · 物理学 2020-08-27 Onkar Sadekar , Urna Basu

We give a partly new proof of the fluctuation bounds for the second class particle and current in the stationary asymmetric simple exclusion process. One novelty is a coupling that preserves the ordering of second class particles in two…

概率论 · 数学 2009-11-24 Marton Balazs , Timo Seppalainen

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

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

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 non-equilibrium fluctuations of one-dimensional symmetric simple exclusion processes in contact with slowed stochastic reservoirs which are regulated by a factor $n^{-\theta}$. Depending on the range of $\theta$ we obtain…

概率论 · 数学 2018-10-12 Patrícia Gonçalves , Milton Jara , Otávio Menezes , Adriana Neumann

The time-integrated current of the TASEP has non-Gaussian fluctuations of order $t^{1/3}$. The recently discovered connection to random matrices and the Painlev\'e II Riemann-Hilbert problem provides a technique through which we obtain the…

统计力学 · 物理学 2007-05-23 M. Praehofer , H. Spohn

We study symmetric simple exclusion processes (SSEP) on a ring in the presence of uniformly moving multiple defects or disorders - a generalization of the model proposed earlier [Phys. Rev. E 89, 022138 (2014)]. The defects move with…

统计力学 · 物理学 2016-06-21 Rakesh Chatterjee , Sakuntala Chatterjee , Punyabrata Pradhan

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…

统计力学 · 物理学 2022-11-23 Rahul Dandekar , Kirone Mallick

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
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