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We apply macroscopic fluctuation theory to study the diffusion of a tracer in a one-dimensional interacting particle system with excluded mutual passage, known as single-file diffusion. In the case of Brownian point particles with hard-core…

统计力学 · 物理学 2014-11-18 P. L. Krapivsky , Kirone Mallick , Tridib Sadhu

Interacting particles diffusing in single-file is a fundamental model of transport in narrow channels where particles cannot bypass each other. An important result has been obtained by Kollmann [Phys. Rev. Lett. 90, 180602 (2003)] for the…

统计力学 · 物理学 2025-07-24 Théotim Berlioz , Olivier Bénichou , Aurélien Grabsch

A diffusive system coupled to unequal boundary reservoirs reaches a non-equilibrium steady state. While the full-counting-statistics of current fluctuations in these states are well understood for generic systems, results for steady-state…

统计力学 · 物理学 2026-01-29 Soumyabrata Saha , Tridib Sadhu

We study the effect of a single driven tracer particle in a bath of other particles performing the random average process on an infinite line using a stochastic hydrodynamics approach. We consider arbitrary fixed as well as random initial…

统计力学 · 物理学 2016-11-03 A. Kundu , J. Cividini

The paper addresses the single-file diffusion in the presence of an absorbing boundary. The emphasis is on an interplay between the hard-core interparticle interaction and the absorption process. The resulting dynamics exhibits several…

统计力学 · 物理学 2014-02-26 Artem Ryabov , Petr Chvosta

In this paper, we study the stationary states of diffusive dynamics driven out of equilibrium by reservoirs. For a small forcing, the system remains close to equilibrium and the large deviation functional of the density can be computed…

统计力学 · 物理学 2024-12-19 Thierry Bodineau , Bernard Derrida

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

Single-file transport, which corresponds to the diffusion of particles that cannot overtake each other in narrow channels, is an important topic in out-of-equilibrium statistical physics. Various microscopic models of single-file systems…

统计力学 · 物理学 2023-01-13 Pierre Rizkallah , Aurélien Grabsch , Pierre Illien , Olivier Bénichou

Single-file diffusion refers to the motion in narrow channels of particles which cannot bypass each other. These strong correlations between particles lead to tracer subdiffusion, which has been observed in contexts as varied as transport…

统计力学 · 物理学 2021-12-08 Alexis Poncet , Aurélien Grabsch , Pierre Illien , Olivier Bénichou

We analyse the long-lasting effects of initial conditions on fluctuations in one-dimensional diffusive systems. We consider both the fluctuations of current for non-interacting diffusive particles starting from a step-like initial density…

统计力学 · 物理学 2022-12-09 Tirthankar Banerjee , Robert L. Jack , Michael E. Cates

We employ the macroscopic fluctuation theory to study fluctuations of integrated current in one-dimensional lattice gases with a step-like initial density profile. We analytically determine the variance of the current fluctuations for a…

统计力学 · 物理学 2015-06-05 P. L. Krapivsky , Baruch Meerson

We study a large deviation functional of density fluctuation by analyzing stochastic non-linear diffusion equations driven by the difference between the densities fixed at the boundaries. By using a fundamental equality that yields the…

统计力学 · 物理学 2009-11-13 Shin-ichi Sasa

Diffusion of impenetrable particles in a crowded one-dimensional channel is referred as the single file diffusion. The particles do not pass each other and the displacement of each individual particle is sub-diffusive. We analyse a simple…

统计力学 · 物理学 2016-04-18 Tridib Sadhu , Bernard Derrida

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

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 study the effect of spatially-varying potential and diffusivity on the dispersion of a tracer particle in single-file diffusion. Non-interacting particles in such a system exhibit normal diffusion at late times, which is characterised by…

统计力学 · 物理学 2025-09-15 Benjamin Sorkin , David S. Dean

We present the application of a fluctuating hydrodynamic theory to study current fluctuations in diffusive systems on a semi-infinite line in contact with a reservoir with slow coupling. We show that the distribution of the time-integrated…

统计力学 · 物理学 2023-08-04 Soumyabrata Saha , Tridib Sadhu

In systems of diffusing particles, we investigate large deviations of a time-averaged measure of clustering around one particle. We focus on biased ensembles of trajectories, which realise large-deviation events. The bias acts on a single…

统计力学 · 物理学 2021-06-02 Jakub Dolezal , Robert L. Jack

Single-file systems, in which particles diffuse in narrow channels while not overtaking each other, is a fundamental model for the tracer subdiffusion observed in confined geometries, such as in zeolites or carbon nanotubes. Twenty years…

统计力学 · 物理学 2024-05-27 Aurélien Grabsch , Olivier Bénichou

We consider fluctuations of the dissipated energy in nonlinear driven diffusive systems subject to bulk dissipation and boundary driving. With this aim, we extend the recently-introduced macroscopic fluctuation theory to nonlinear driven…

统计力学 · 物理学 2013-10-29 P. I. Hurtado , A. Lasanta , A. Prados
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