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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

We study the fluctuations of the integrated density current across the origin up to time $T$ in a lattice model of active particles with hard-core interactions. This model is amenable to an exact description within a fluctuating…

统计力学 · 物理学 2024-02-27 Stephy Jose , Rahul Dandekar , Kabir Ramola

We derive a closed equation for the empirical concentration of colloidal particles in the presence of both hydrodynamic and direct interactions. The ensemble average of our functional Langevin equation reproduces known deterministic Dynamic…

统计力学 · 物理学 2015-06-19 A. Donev , E. Vanden-Eijnden

Fluctuation theorems (FTs) quantify the thermodynamic reversibility of a system, and for deterministic systems they are defined in terms of the dissipation function. However, in a nonequilibrium steady state of deterministic dynamics, the…

统计力学 · 物理学 2026-03-24 Stephen Sanderson , Charlotte F. Petersen , Debra J. Searles

Nonintegrable systems thermalize, leading to the emergence of fluctuating hydrodynamics. Typically, this hydrodynamics is diffusive. We use the effective field theory (EFT) of diffusion to compute higher-point functions of conserved…

强关联电子 · 物理学 2024-02-14 Luca V. Delacretaz , Ruchira Mishra

To be useful, steady state thermodynamics (SST) must be self-consistent and have predictive value. Although consistency of SST was recently verified for driven lattice gases under global weak exchange, I show here that it does not predict…

统计力学 · 物理学 2014-07-31 Ronald Dickman

We investigate the random flight process that arises as the Boltzmann-Grad limit of a random scatterer Lorentz gas with variable scatterer density in a gravitational field. For power function densities we show how the parameters of the…

概率论 · 数学 2016-05-10 Krzysztof Burdzy , Douglas Rizzolo

The Lorentz gas describes an ensemble of noninteracting point particles in an infinite array of spherical scatterers. In the present paper we consider the case when the scatterer configuration P is a fixed union of (translated) lattices in…

动力系统 · 数学 2024-10-28 Matthew Palmer , Andreas Strömbergsson

In this presentation we overview some recent results on biased tracer diffusion in lattice gases. We consider both models in which the gas particles density is explicitly conserved and situations in which the lattice gas particles undergo…

统计力学 · 物理学 2007-05-23 G. Oshanin , O. Benichou , S. F. Burlatsky , M. Moreau

A simple lattice gas model in one dimension is constructed in which each site can be occupied by at most one particle of any one of $D$ species. Particles interact with a randomly drawn nearest neighbor interaction. This model is capable of…

高能物理 - 唯象学 · 物理学 2007-05-23 A. D. Jackson , T. Wettig , N. L. Balazs

While Macroscopic Fluctuation Theory (MFT) has been highly successful in analyzing non-equilibrium steady states, its application to non-steady-state processes remains limited. In this study, we apply MFT to the relaxation process of…

统计力学 · 物理学 2026-05-27 Daisuke Suzuki , Tomohiro Sasamoto

Unstable states that live long enough may appear as in(out)going particles in scattering experiments. Yet, the standard QFT approach strictly applies only to fully stable asymptotic states. This is evident when scattering involving unstable…

高能物理 - 唯象学 · 物理学 2025-07-08 Francesco Giacosa , Vanamali Shastry

We study a stochastic lattice gas of particles undergoing asymmetric diffusion in two dimensions. Transitions between a low-density uniform phase and high-density non-uniform phases characterized by localized or extended structure are…

凝聚态物理 · 物理学 2009-10-22 Kwan-tai Leung

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

We investigate the dynamics of two interacting diffusing particles in an infinite effectively one dimensional system; the particles interact through a step-like potential of width b and height phi_0 and are allowed to pass one another. By…

生物大分子 · 定量生物学 2009-11-13 Tobias Ambjornsson , Robert J. Silbey

The theory of the effect of external fluctuation force on the stability and spatial distribution of mutually interacting and slowly evaporating charged drops, levitated in an electrodynamic balance, is presented using classical…

流体动力学 · 物理学 2020-07-07 Mohit Singh , Y. S. Mayya , Rochish Thaokar

Modelling the propagation of a pulse in a dense {\em milieu} poses fundamental challenges at the theoretical and applied levels. To this aim, in this paper we generalize the telegraph equation to non-ideal conditions by extending the…

统计力学 · 物理学 2015-06-16 Marta Galanti , Duccio Fanelli , Francesco Piazza

A multiple scattering model of a quantum particle interacting with a random Lorentz gas of fixed point scatterers is established in an Euclidean space of arbitrary dimension. At the core of the model, the scattering amplitude for the point…

量子物理 · 物理学 2022-05-11 David Gaspard , Jean-Marc Sparenberg

We examine a two-dimensional system of sterically repulsive interacting disks where each particle runs in a random direction. This system is equivalent to a run-and-tumble dynamics system in the limit where the run time is infinite. At low…

软凝聚态物质 · 物理学 2017-12-06 C. Reichhardt , C. J. Olson Reichhardt

The Lorentz gas is one of the simplest, most widely used models to study the transport properties of rarified gases in matter. It describes the dynamics of a cloud of non-interacting point particles in an infinite array of fixed spherical…

动力系统 · 数学 2015-09-03 Jens Marklof