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Mixing a passive scalar field by stirring can be measured in a variety of ways including tracer particle dispersion, via the flux-gradient relationship, or by suppression of scalar concentration variations in the presence of inhomogeneous…

Fluid Dynamics · Physics 2010-11-08 Zhi Lin , Katarína Bodová , Charles R. Doering

Simplified, classical models of water are an integral part of atomistic molecular simulations, especially in biology and chemistry where hydration effects are critical. Yet, despite several decades of effort, these models are still far from…

Chemical Physics · Physics 2015-01-13 Saeed Izadi , Ramu Anandakrishnan , Alexey V. Onufriev

We show that long-time, long-distance fluctuations of plane-symmetric horizons exhibit universal hydrodynamic behavior. By considering classical fluctuations around black-brane backgrounds, we find both diffusive and shear modes. The…

High Energy Physics - Theory · Physics 2011-05-05 Pavel Kovtun , Dam T. Son , Andrei O. Starinets

We report on extensive molecular dynamics simulations on systems of soft spheres of functionality f, i.e. particles that are capable of bonding irreversibly with a maximum of f other particles. These bonds are randomly distributed…

Soft Condensed Matter · Physics 2007-05-23 D. C. Vernon , Michael Plischke , Bela Joos

We show that hydrodynamic diffusion is generically present in many-body interacting integrable models. We extend the recently developed generalised hydrodynamic (GHD) to include terms of Navier-Stokes type which lead to positive entropy…

Statistical Mechanics · Physics 2018-10-19 Jacopo De Nardis , Denis Bernard , Benjamin Doyon

This paper concerns a diffuse interface model for the flow of two incompressible viscoelastic fluids in a bounded domain. More specifically, the fluids are assumed to be macroscopically immiscible, but with a small transition region, where…

Analysis of PDEs · Mathematics 2024-11-15 Yadong Liu , Dennis Trautwein

We studied the shock propagation and its stability with the causal dissipative hydrodynamics in 1+1 dimensional systems. We show that the presence of the usual viscosity is not enough to stabilize the solution. This problem is solved by…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. S. Denicol , T. Kodama , T. Koide , Ph. Mota

We study the diffusion of tracers (self-diffusion) in a homogeneously cooling gas of dissipative particles, using the Green-Kubo relation and the Chapman-Enskog approach. The dissipative particle collisions are described by the coefficient…

Statistical Mechanics · Physics 2009-11-11 Nikolai V. Brilliantov , Thorsten Poeschel

We investigate the properties of forced inertial modes of a rotating fluid inside a spherical shell. Our forcing is tidal like, but its main property is that it is on the large scales. Our solutions first confirm some analytical results…

Solar and Stellar Astrophysics · Physics 2015-05-14 M. Rieutord , L. Valdettaro

The dielectric response of nano-confined fluids is crucial across technologies and biological systems, yet its calculation and interpretation from molecular simulations are often muddled by unclear boundary conditions. We re-derive the…

Soft Condensed Matter · Physics 2026-05-06 Philipp Stärk , Henrik Stooß , Philip Loche , Douwe Jan Bonthuis , Roland R. Netz , Alexander Schlaich

Reversible diffusion limited cluster aggregation of hard spheres with rigid bonds was simulated and the self diffusion coefficient was determined for equilibrated systems. The effect of increasing attraction strength was determined for…

Soft Condensed Matter · Physics 2009-11-13 Sujin Babu , Jean Christophe Gimel , Taco Nicolai

A particle driven by deterministic chaos and moving in a spatially extended environment can exhibit normal diffusion, with its mean square displacement growing proportional to the time. Here we consider the dependence of the diffusion…

Mathematical Physics · Physics 2017-06-29 Georgie Knight , Orestis Georgiou , Carl P. Dettmann , Rainer Klages

The emergence of diffusion is one of the deepest physical phenomena observed in many-body interacting, chaotic systems. But establishing rigorously that correlation functions, say of the spin, expand diffusively, remains one of the most…

Statistical Mechanics · Physics 2025-03-03 Dimitrios Ampelogiannis , Benjamin Doyon

We present molecular dynamics simulation results for the viscosity and mutual diffusion constant of a strongly asymmetric binary ionic mixture (BIM). We compare the results with available theoretical models previously tested for much…

Plasma Physics · Physics 2007-05-23 Sorin Bastea

This paper investigates density driven flow in porous media, focusing on the roles of viscosity contrast, density contrast, and linear adsorption. In this setup, the fluid on top is heavier and more viscous than the fluid below. Under the…

Analysis of PDEs · Mathematics 2026-01-27 Sahil Kundu , Amiya K. Pani , Manoranjan Mishra

We present tables for self-diffusion coefficients of the Lennard-Jones liquids and gases for various model formulas in the modified free volume theory of diffusion in the case of reduced temperatures $T^{\ast}=6.0$, 4.0, 1.3, 1.0, 0.8, 0.7…

Fluid Dynamics · Physics 2011-05-16 Jagtar Singh Hunjan , Byung Chan Eu

The so-called thermodynamic anomalies of water form an integral part of the peculiar behaviour of this both important and ubiquitous molecule. In this paper our aim is to establish whether the recently proposed TIP4P/2005 model is capable…

Self diffusion coefficients and binary Maxwell-Stefan diffusion coefficients were determined by equilibrium molecular dynamics simulations with the Green-Kubo method. The study covers five pure fluids: neon, argon, krypton, xenon, and…

Chemical Physics · Physics 2009-11-13 G. A. Fernandez , J. Vrabec , H. Hasse

The paper studies a higher-order diffusion model of Maxwell-Stefan kind. The model is based upon higher-order moment equations of kinetic theory of mixtures, which include viscous dissipation in the model. Governing equations are analyzed…

Analysis of PDEs · Mathematics 2023-05-16 Bérénice Grec , Srboljub Simic

The dielectric spectrum of liquid water, $10^{4} - 10^{11}$ Hz, is interpreted in terms of diffusion of charges, formed as a result of self-ionization of H$_{2}$O molecules. This approach explains the Debye relaxation and the dc…

Chemical Physics · Physics 2014-04-30 A. A. Volkov , V. G. Artemov , A. V. Pronin