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An exact solution of coarse-grained polymer models with fluctuating internal friction and hydrodynamic interactions has not been proposed so far due to a one-to-all coupling between the connector vector velocities that precludes the…

Soft Condensed Matter · Physics 2024-06-19 R. Kailasham , Rajarshi Chakrabarti , J. Ravi Prakash

We introduce a model of interacting Random Walk, whose hopping amplitude depends on the number of walkers/particles on the link. The mesoscopic counterpart of such a microscopic dynamics is a diffusing system whose diffusivity depends on…

Statistical Mechanics · Physics 2008-10-01 E. Agliari , M. Casartelli , A. Vezzani

A simple model for viscous liquid dynamics is introduced. Consider the surface of the union of hyper-spheres centered at random positions inside a hypercube with periodic boundary conditions. It is argued and demonstrated by numerical…

Soft Condensed Matter · Physics 2022-06-08 Filip Samuelsen , Lorenzo Costigliola , Thomas B. Schrøder

Dynamics of double membrane films is investigated in the long-wavelength limit including the overdamped squeezing mode. We demonstrate that thermal fluctuations essentially modify the character of the mode due to its nonlinear coupling to…

Soft Condensed Matter · Physics 2009-10-30 E. I. Kats , V. V. Lebedev , S. V. Malinin

Understanding the emergence of macroscopic irreversible hydrodynamics from the reversible unitary dynamics of isolated quantum many-body systems remains a fundamental challenge. Conventional approaches often force spin density dynamics into…

Quantum Physics · Physics 2026-05-08 Seiki Saito

Mirroring their role in electrical and optical physics, two-dimensional crystals are emerging as novel platforms for fluid separations and water desalination, which are hydrodynamic processes that occur in nanoscale environments. For…

Statistical Mechanics · Physics 2016-05-11 Steven E. Strong , Joel D. Eaves

We investigate the hydrodynamic properties of a fluid simulated with a mesoscopic solvent model. Two distinct regimes are identified, the `particle regime' in which the dynamics is gas-like, and the `collective regime' where the dynamics is…

Soft Condensed Matter · Physics 2009-11-11 M. Ripoll , K. Mussawisade , R. G. Winkler , G. Gompper

We formulate low Mach number fluctuating hydrodynamic equations appropriate for modeling diffusive mixing in isothermal mixtures of fluids with different density and transport coefficients. These equations eliminate the fluctuations in…

Numerical Analysis · Mathematics 2016-01-20 A. Donev , A. J. Nonaka , Y. Sun , T. G. Fai , A. L. Garcia , J. B. Bell

The Kelvin-Helmholtz instability serves as a simple, well-defined setup for assessing the accuracy of different numerical methods for solving the equations of hydrodynamics. We use it to extend our previous analysis of the convergence and…

Instrumentation and Methods for Astrophysics · Physics 2020-12-09 Martin Obergaulinger , Miguel-Ángel Aloy

Stochastic hydrodynamics provides a dynamical framework for the evolution of fluctuations in heavy-ion collisions, but poses significant challenges in numerical simulations. We present an algorithm for the simulation of non-relativistic…

Nuclear Theory · Physics 2026-02-03 Mattis Harhoff , Sören Schlichting , Lorenz von Smekal

Hydrodynamic flow occurs in an electron liquid when the mean free path for electron-electron collisions is the shortest length scale in the problem. In this regime, transport is described by the Navier-Stokes equation, which contains two…

Mesoscale and Nanoscale Physics · Physics 2016-03-08 Alessandro Principi , Giovanni Vignale , Matteo Carrega , Marco Polini

Using classical as well as ab-initio molecular dynamics simulations, we calculate the frequency-dependent shear viscosity of pure water and water-glycerol mixtures. In agreement with recent experiments, we find deviations from…

Hydrodynamics predicts long-lived sound and shear waves. Thermal fluctuations in these waves can lead to the diffusion of momentum density, contributing to the shear viscosity and other transport coefficients. Within viscous hydrodynamics…

High Energy Physics - Phenomenology · Physics 2011-08-04 Pavel Kovtun , Guy D. Moore , Paul Romatschke

Equilibrium molecular dynamics simulations are used to investigate the effect of phase transitions on the transport properties of highly-confined water between parallel graphene sheets. An abrupt reduction by several orders of magnitude in…

Computational Physics · Physics 2019-01-23 Frederike Jaeger , Omar K. Matar , Erich A. Müller

Molecular-scale interactions between solvated macromolecules and solid surfaces govern a large number of processes, from biology to engineering. Yet, despite extensive characterization at the macroscopic level, our molecular understanding…

Soft Condensed Matter · Physics 2026-05-07 Malo Velay , Jean Comtet

By event-driven molecular dynamics simulations we investigate magneto-transport in a two-dimensional model with randomly distributed scatterers close to the field-induced localization transition. This transition is generated by percolating…

Mesoscale and Nanoscale Physics · Physics 2015-12-14 Walter Schirmacher , Benedikt Fuchs , Felix Höfling , Thomas Franosch

We introduce a finite-volume numerical scheme for solving stochastic gradient-flow equations. Such equations are of crucial importance within the framework of fluctuating hydrodynamics and dynamic density functional theory. Our proposed…

Detailed studies of the intriguing field-dependent dynamics and transport properties of confined flowing ferrofluids require efficient mesoscopic simulation methods that account for fluctuating ferrohydrodynamics. Here, we propose such a…

Soft Condensed Matter · Physics 2024-06-19 Patrick Ilg

We simulate macroscopic shear experiments in active nematics and compare them with microrheology simulations where a spherical probe particle is dragged through an active fluid. In both cases we define an effective viscosity: in the case of…

Soft Condensed Matter · Physics 2012-11-16 G. Foffano , J. S. Lintuvuori , A. N. Morozov , K. Stratford , M. E. Cates , D. Marenduzzo

The flow of amorphous solids results from a combination of elastic deformation and local structural rearrangements, which induce non-local elastic deformations. These elements are incorporated into a mechanically-consistent mesoscopic model…

Soft Condensed Matter · Physics 2015-06-12 Alexandre Nicolas , Jean-Louis Barrat
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