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Hydrodynamics is nowadays understood as an effective field theory that describes the dynamics of the long-wavelength and slow-time fluctuations of an underlying microscopic theory. In this work we extend the relativistic hydrodynamics to…

High Energy Physics - Theory · Physics 2020-05-27 Saulo M. Diles , Luis A. H. Mamani , Alex S. Miranda , Vilson T. Zanchin

We use fluctuating hydrodynamics to analyze the dynamical properties in the non-equilibrium steady state of a diffusive system coupled with reservoirs. We derive the two-time correlations of the density and of the current in the…

Statistical Mechanics · Physics 2016-11-23 Tridib Sadhu , Bernard Derrida

Hydrodynamic density functional theory (DFT) is applied to analyse dynamic contact angles of droplets in order to assess its predictive capability regarding wetting phenomena at the microscopic scale and to evaluate its feasibility for…

Fluid Dynamics · Physics 2025-08-06 Benjamin Bursik , Rolf Stierle , Hamza Oukili , Martin Schneider , Gernot Bauer , Joachim Gross

The eigenfunctions and eigenvalues of the linearized Boltzmann equation for inelastic hard spheres (d=3) or disks (d=2) corresponding to d+2 hydrodynamic modes, are calculated in the long wavelength limit for a granular gas. The transport…

Statistical Mechanics · Physics 2009-11-10 James W. Dufty , J. Javier Brey

In charged fluids obeying particle-hole symmetry, such as the Dirac fluid in graphene, charge transport is diffusive despite the presence of ballistically propagating sound waves: sound waves "hydrodynamically decouple" from the slower…

Statistical Mechanics · Physics 2026-01-30 Ewan McCulloch , Romain Vasseur , Sarang Gopalakrishnan

We calculate the shear viscosity and anomalous baryon number violation rate in quantum field theories at finite temperature having gravity duals with hyperbolic horizons. We find the explicit dependence of these quantities on the…

High Energy Physics - Theory · Physics 2015-05-13 George Koutsoumbas , Eleftherios Papantonopoulos , George Siopsis

The shearing instability of a dilute granular mixture composed of smooth inelastic hard spheres or disks is investigated. By using the Navier-Stokes hydrodynamic equations, it is shown that the scaled transversal velocity mode exhibits a…

Statistical Mechanics · Physics 2015-06-15 J. Javier Brey , M. J. Ruiz-Montero

We construct turbulent black holes in asymptotically AdS_4 spacetime by numerically solving Einstein equations. Both the dual holographic fluid and bulk geometry display signatures of an inverse cascade with the bulk geometry being well…

High Energy Physics - Theory · Physics 2014-04-23 Allan Adams , Paul M. Chesler , Hong Liu

We develop an age-structured hydrodynamic (HD) theory which describes the collective behavior of $N\gg 1$ anomalously diffusing particles under stochastic renewal resetting. The theory treats the age of a particle -- the time since its last…

Statistical Mechanics · Physics 2026-05-01 Baruch Meerson , Ohad Vilk

Self-diffusion in a two-dimensional simple fluid is investigated by both analytical and numerical means. We investigate the anomalous aspects of self-diffusion in two-dimensional fluids with regards to the mean square displacement, the…

Soft Condensed Matter · Physics 2018-09-05 Bongsik Choi , Kyeong Hwan Han , Changho Kim , Peter Talkner , Akinori Kidera , Eok Kyun Lee

Continuum fluid dynamic models based on the Navier-Stokes equations have previously been used to simulate granular media undergoing fluid-like shearing. These models, however, typically fail to predict the flow behaviour in confined…

Fluid Dynamics · Physics 2024-03-05 Duncan Dockar , M. H. Lakshminarayana Reddy , Matthew K. Borg , S. Kokou Dadzie

When analyzing the broadband absorption spectrum of liquid water (10^10 - 10^13 Hz), we find its relaxation-resonance features to be an indication of Frenkel's translation-oscillation motion of particles, which is fundamentally inherent to…

Soft Condensed Matter · Physics 2026-03-26 A. A. Volkov , V. G. Artemov , A. A. Volkov , N. N. Sysoev

We study the linear stability of holographic homogeneous solids (HHS) at finite temperature and in presence of a background shear strain by means of a large scale quasi-normal mode analysis which extends beyond the hydrodynamic limit. We…

High Energy Physics - Theory · Physics 2024-05-22 Matteo Baggioli , Li Li , Wei-Jia Li , Hao-Tian Sun

Superfluid turbulence, often referred to as quantum turbulence, is a fascinating phenomenon for which a satisfactory theoretical framework is lacking. Holographic duality provides a systematic new approach to studying quantum turbulence by…

High Energy Physics - Theory · Physics 2012-12-20 Allan Adams , Paul M. Chesler , Hong Liu

We introduce a geometric analysis of turbulent mixing in density-stratified flows based on the alignment of the density gradient in two orthogonal bases that are locally constructed from the velocity gradient tensor. The first basis…

Fluid Dynamics · Physics 2023-09-20 Xianyang Jiang , Amir Atoufi , Lu Zhu , Adrien Lefauve , J. R. Taylor , S. B. Dalziel , P. F. Linden

Velocity and density structure factors are measured over a hydrodynamic range of scales in a horizontal quasi-2d fluidized granular experiment, with packing fractions $\phi\in[10%,40%]$. The fluidization is realized by vertically vibrating…

Soft Condensed Matter · Physics 2015-06-03 A. Puglisi , A. Gnoli , G. Gradenigo , A. Sarracino , D. Villamaina

We complete the kinetic theory of two-dimensional (2D) point vortices initiated in previous works. We use a simpler and more physical formalism. We consider a system of 2D point vortices submitted to a small external stochastic perturbation…

Statistical Mechanics · Physics 2022-11-29 Pierre-Henri Chavanis

In the present work, we explore homogenization techniques for a class of switching diffusion processes whose drift and diffusion coefficients, and jump intensities are smooth, spatially periodic functions; we assume full coupling between…

Probability · Mathematics 2025-07-01 Chetan D. Pahlajani

As global ocean general circulation models are run at eddy-permitting resolutions, reproducing accurate growth rates of baroclinic instabilities is a major concern when choosing a discretization of the equations of motion. From this…

Atmospheric and Oceanic Physics · Physics 2026-01-08 Steffen Maaß , Sergey Danilov

We discuss recent work showing that in certain cases the membrane paradigm equations governing the dynamics of black hole horizons can be recast as relativistic conservation law equations. In the context of gauge/gravity dualities, these…

High Energy Physics - Theory · Physics 2015-05-20 Christopher Eling , Yasha Neiman , Yaron Oz