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We develop quantitative error estimates connecting microscopic fluctuation of interacting particle systems with the mobilities of their hydrodynamic limits. Focusing on the Symmetric Simple Exclusion Process and systems of independent…

概率论 · 数学 2026-03-06 Nicolas Dirr , Zhengyan Wu , Johannes Zimmer

Linear fluctuating hydrodynamics is a useful and versatile tool for describing fluids, as well as other systems with conserved fields, on a mesoscopic scale. In one spatial dimension, however, transport is anomalous, which requires to…

统计力学 · 物理学 2016-01-05 Herbert Spohn

The sensitivity of charge, heat, or momentum transport to the sample geometry is a hallmark of viscous electron flow. Therefore, hydrodynamic electronics requires the detailed understanding of electron flow in finite geometries. The…

介观与纳米尺度物理 · 物理学 2019-01-29 Egor I. Kiselev , Joerg Schmalian

Starting from the kinetic equations for the fluctuations and correlations of a dilute gas of inelastic hard spheres or disks, a Boltzmann-Langevin equation for the one-particle distribution function of the homogeneous cooling state is…

统计力学 · 物理学 2015-05-13 J. Javier Brey , P. Maynar , M. I. Garcia de Soria

Electron hydrodynamics typically emerges in electron fluids with a high electron-electron collision rate. However, new experiments with thin flakes of WTe$_2$ have revealed that other momentum-conserving scattering processes can replace the…

介观与纳米尺度物理 · 物理学 2023-04-25 Yotam Wolf , Amit Aharon-Steinberg , Binghai Yan , Tobias Holder

Instability and rupture dynamics of a liquid nano-thread, subjected to external hydrodynamic perturbations, are captured by a stochastic lubrication equation (SLE) incorporating thermal fluctuations via Gaussian white noise. Linear…

流体动力学 · 物理学 2024-11-20 Zhao Zhang , Chengxi Zhao , Ting Si

Electrokinetic flows of an aqueous NaCl solution in nanochannels with negatively charged surfaces are studied using molecular dynamics (MD) simulations. The four transport coefficients that characterise the response to weak electric and…

化学物理 · 物理学 2014-06-05 Hiroaki Yoshida , Hideyuki Mizuno , Tomoyuki Kinjo , Hitoshi Washizu , Jean-Louis Barrat

We derive linear fluctuating hydrodynamics as the low density limit of a deterministic system of particles at equilibrium. The proof builds upon previous results of the authors where the asymptotics of the covariance of the fluctuation…

偏微分方程分析 · 数学 2022-10-24 Thierry Bodineau , Isabelle Gallagher , Laure Saint-Raymond , Sergio Simonella

We develop a new integrated dynamical model to investigate the effects of the hydrodynamic fluctuations on observables in high-energy nuclear collisions. We implement hydrodynamic fluctuations in a fully 3-D dynamical model consisting of…

核理论 · 物理学 2016-11-23 Koichi Murase , Tetsufumi Hirano

We present a symmetry-based formulation of nonlinear fluctuating hydrodynamics (NFH) for one-dimensional many-particle systems with generic homogeneous nearest-neighbor interactions. We derive the hydrodynamic equations solely from symmetry…

统计力学 · 物理学 2026-05-13 Yuki Minami , Hiroyoshi Nakano , Keiji Saito

We present a fluctuating hydrodynamic description of an active lattice gas model with excluded volume interactions that exhibits motility-induced phase separation under appropriate conditions. For quasi-one dimension and higher, stability…

统计力学 · 物理学 2025-10-20 Ritwik Mukherjee , Soumyabrata Saha , Tridib Sadhu , Abhishek Dhar , Sanjib Sabhapandit

We derive the Hydrodynamics for a system of N active, spherical, underdamped particles, interacting through conservative forces. At the microscopic level, we represent the evolution of the particles in terms of the Kramers equation for the…

统计力学 · 物理学 2022-03-15 Umberto Marini Bettolo Marconi , Andrea Puglisi , Lorenzo Caprini

We develop a method to study coupled dynamics of gauge-invariant variables, constructed out of metric and gauge field fluctuations on the background of a AdS$_5$ Reissner-Nordstr\"om black brane. Using this method, we compute the numerical…

高能物理 - 理论 · 物理学 2020-10-28 Navid Abbasi , Sara Tahery

We introduce new classes of hydrodynamic theories inspired by the recently discovered fracton phases of quantum matter. Fracton phases are characterized by elementary excitations (fractons) with restricted mobility. The hydrodynamic…

强关联电子 · 物理学 2020-07-29 Andrey Gromov , Andrew Lucas , Rahul M. Nandkishore

We use hydrodynamics to investigate non-stationary channel flows of freely cooling dilute granular gases. We focus on the regime where the sound travel time through the channel is much shorter than the characteristic cooling time of the…

软凝聚态物质 · 物理学 2009-11-13 Baruch Meerson , Itzhak Fouxon , Arkady Vilenkin

In low-permeability rock, fluid and mineral transport occur in pores and fracture apertures at the scale of micrometers and below. At this scale, the presence of surface charge, and a resultant electrical double layer, may considerably…

流体动力学 · 物理学 2018-05-02 Asger Bolet , Gaute Linga , Joachim Mathiesen

We investigate hydrodynamic noise in a dilute granular gas during the homogeneous cooling state, by means of a proper application of the Direct Simulation Monte Carlo (DSMC) algorithm. The DSMC includes a source of randomization which is…

软凝聚态物质 · 物理学 2010-09-27 Giulio Costantini , Andrea Puglisi

Dirac fluids - interacting systems obeying particle-hole symmetry and Lorentz invariance - are among the simplest hydrodynamic systems; they have also been studied as effective descriptions of transport in strongly interacting Dirac…

统计力学 · 物理学 2024-12-06 Sarang Gopalakrishnan , Ewan McCulloch , Romain Vasseur

In microscopic mechanical systems interactions between elastic structures are often mediated by the hydrodynamics of a solvent fluid. At microscopic scales the elastic structures are also subject to thermal fluctuations. Stochastic…

软凝聚态物质 · 物理学 2023-02-28 Paul J. Atzberger

Fluctuations of dynamical quantities are fundamental and inevitable. For the booming research in nanotechnology, huge relative fluctuation comes with the reduction of system size, leading to large uncertainty for the estimates of dynamical…

统计计算 · 统计学 2023-02-01 Zhi Xu , Han Li , Ming Ma