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We introduce a closure model for coarse-grained kinetic theories of polar active fluids. Based on a quasi-equilibrium approximation of the particle distribution function, the model closely captures important analytical properties of the…

Soft Condensed Matter · Physics 2022-06-17 Scott Weady , David B. Stein , Michael J. Shelley

Relativistic hydrodynamics of an isentropic fluid in a gravitational field is considered as the particular example from the family of Lagrangian hydrodynamic-type systems which possess an infinite set of integrals of motion due to the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Victor P. Ruban

Surface-driven flows are ubiquitous in nature, from subcellular cytoplasmic streaming to organ-scale ciliary arrays. Here, we model how confined geometries can be used to engineer complex hydrodynamic patterns driven by activity prescribed…

Biological Physics · Physics 2020-04-06 Xingting Gong , Arnold Mathijssen , Zev Bryant , Manu Prakash

The steady sliding state of periodic structures such as charge density waves and flux line lattices is numerically studied based on two and three dimensional driven random field XY models. We focus on the dynamical phase transition between…

Disordered Systems and Neural Networks · Physics 2009-11-11 Tomoaki Nogawa , Hajime Yoshino , Hiroshi Matsukawa

We use a one dimensional symmetric exclusion model to study pressure and osmosis driven flows through molecular-sized channels, such as biological membrane channels and zeolite pores. Analytic expressions are found for the steady-state flow…

Soft Condensed Matter · Physics 2008-02-03 Tom Chou

We simulate the space-time dynamics of high-energy collisions based on a microscopic kinetic description, in order to determine the range of applicability of an effective description in relativistic viscous hydrodynamics. We find that…

High Energy Physics - Phenomenology · Physics 2024-02-12 Clemens Werthmann , Victor E. Ambruş , Sören Schlichting

We apply a hybrid Molecular Dynamics and mesoscopic simulation technique to study the dynamics of two dimensional colloidal discs in confined geometries. We calculate the velocity autocorrelation functions, and observe the predicted…

Soft Condensed Matter · Physics 2015-05-13 Jimaan Sané , Ard A. Louis , Johan Padding

Quantum fluids of light merge many-body physics and nonlinear optics, through the study of light propagation in a nonlinear medium under the shine of quantum hydrodynamics. One of the most outstanding evidence of light behaving as an…

The nonlinear dynamics of an elastic filament that is forced to rotate at its base is studied by hydrodynamic simulation techniques; coupling between stretch, bend, twist elasticity and thermal fluctuations is included. The…

Soft Condensed Matter · Physics 2008-03-24 Hirofumi Wada , Roland R. Netz

Although continuum theories have been proven quite robust to describe confined fluid flow at molecular length scales, molecular dynamics (MD) simulations reveal mechanistic insights into the interfacial dissipation processes. Most MD…

Fluid Dynamics · Physics 2024-02-26 Hannes Holey , Peter Gumbsch , Lars Pastewka

There is an emerging class of microfluidic bioreactors which possess long-term, closed circuit perfusion under sterile conditions with in vivo-like flow parameters. Integrated into microfluidics, peristaltic-like pneumatically actuated…

Fluid Dynamics · Physics 2017-09-26 T. N. Gerasimenko , O. V. Kindeeva , V. A. Petrov , A. I. Khaustov , E. V. Trushkin

The study of hydrodynamics of liquid crystal leads to many fasci- nating mathematical problems, which has prompted various interesting works recently. This article reviews the static Oseen-Frank theory and surveys some recent progress on…

Analysis of PDEs · Mathematics 2015-06-22 Fanghua Lin , Changyou Wang

Thin liquid films on surfaces are part of our everyday life, they serve e.g. as coatings or lubricants. The stability of a thin layer is governed by interfacial forces, described by the effective interface potential, and has been subject of…

Soft Condensed Matter · Physics 2015-06-04 Oliver Bäumchen , Renate Fetzer , Mischa Klos , Matthias Lessel , Ludovic Marquant , Hendrik Hähl , Karin Jacobs

Continuum hydrodynamic models of active liquid crystals have been used to describe dynamic self-organising systems such as bacterial swarms and cytoskeletal gels. A key prediction of such models is the existence of self-stabilising kink…

Soft Condensed Matter · Physics 2009-11-13 S. A. Edwards , J. M. Yeomans

In this paper, we first construct a model for free surface flows that takes into account the air entrainment by a system of four partial differential equations. We derive it by taking averaged values of gas and fluid velocities on the cross…

Analysis of PDEs · Mathematics 2013-02-04 Christian Bourdarias , Mehmet Ersoy , Stéphane Gerbi

It was shown in [PRL 114, 138301 (2015)] that a remarkably simple dynamical model exhibits many of the complex flow regimes and non-equilibrium phase transitions characteristic of complex fluids. By removing extraneous detail, this simplest…

Soft Condensed Matter · Physics 2016-09-05 R. M. L. Evans , Craig A. Hall , R. Aditi Simha , Tom Welsh

The "unreasonable effectiveness" of relativistic fluid dynamics in describing high energy heavy-ion and even proton-proton collisions are demonstrated and discussed. Several recent ideas of optimizing relativistic fluid dynamics for the…

Nuclear Theory · Physics 2019-10-02 Ulrich W. Heinz , J. Scott Moreland

Inspired by numerous lab on a chip, biomedical and bioengineering applications such as cell sorting, focusing, trapping, and filtering of particles, manipulation of micron sized particle trajectories has been of significant interest in the…

Fluid Dynamics · Physics 2026-03-18 Partha Kumar Das

Over the past decade the study of fluidic droplets bouncing and skipping (or ``walking'') on a vibrating fluid bath has gone from an interesting experiment to a vibrant research field. The field exhibits challenging fluids problems,…

Fluid Dynamics · Physics 2020-11-18 Aminur Rahman , Denis Blackmore

A simulation of the hydrodynamics on the two dimensional non-commutative space is performed, in which the space coordinates $(x, y)$ are non-commutative, satisfying the commutation relation $[x, y]=i \theta$. The Navier-Stokes equation has…

Fluid Dynamics · Physics 2016-12-07 Tetuya Kawamura , Anna Kuwana , Yusaku Nagata , Mayumi Saitou , Akio Sugamoto