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We study diffusion of colloids on a fluid-fluid interface using particle simulations and fluctuating hydrodynamics. Diffusion on a two-dimensional interface with three-dimensional hydrodynamics is known to be anomalous, with the collective…

Statistical Mechanics · Physics 2018-08-01 R. P. Peláez , F. Balboa Usabiaga , S. Panzuela , Q. Xiao , R. Delgado-Buscalioni , A. Donev

In this paper we study global existence of weak solutions for the Quantum Hydrodynamics System in 2-D in the space of energy. We do not require any additional regularity and/or smallness assumptions on the initial data. Our approach…

Analysis of PDEs · Mathematics 2015-05-20 Paolo Antonelli , Pierangelo Marcati

The quantum Hall effect realizes a quantized Hall resistance $R_{xy} = h/(\nu e^2)$ whereas the longitudinal resistance vanishes. The quantized value consists of the fundamental physical quantities, the elementary charge $e$ and the Planck…

Mesoscale and Nanoscale Physics · Physics 2026-04-01 Hiroki Isobe

We propose and analyze two convection quasi-robust and pressure robust finite element methods for a fully nonlinear time-dependent magnetohydrodynamics problem. Both methods employ the $H_{\rm div}$ conforming BDM element coupled with an…

Numerical Analysis · Mathematics 2025-06-12 L. Beirão da Veiga , F. Dassi , G. Vacca

A systematic investigation of the phase separation dynamics in self-assembled multi-component bilayer fluid vesicles and open membranes is presented. We use large-scale dissipative particle dynamics to explicitly account for solvent,…

Soft Condensed Matter · Physics 2015-06-25 Mohamed Laradji , P. B. Sunil Kumar

The emergence of hydrodynamic bend instabilities in ordered suspensions of active particles is widely observed across diverse living and synthetic systems, and is considered to be governed by dipolar active stresses generated by the…

Soft Condensed Matter · Physics 2026-01-09 Sameer Kumar , Niels de Graaf Sousa , Amin Doostmohammadi

Dense suspensions of self-propelled bacteria and related active fluids exhibit spontaneous flow generation, vortex formation, and spatiotemporally chaotic dynamics despite operating at vanishingly small Reynolds numbers. These phenomena,…

Soft Condensed Matter · Physics 2026-02-26 Sandip Sahoo , Siddhartha Mukherjee , Samriddhi Sankar Ray

We present a lattice Boltzmann algorithm for liquid crystal hydrodynamics. The coupling between the tensor order parameter and the flow is treated consistently allowing investigation of a wide range of non-Newtonian flow behavior. We…

Soft Condensed Matter · Physics 2007-05-23 Colin Denniston , E. Orlandini , J. M. Yeomans

The hydrodynamic Burnett equations and the associated transport coefficients are exactly evaluated for generalized inelastic Maxwell models. In those models, the one-particle distribution function obeys the inelastic Boltzmann equation,…

Soft Condensed Matter · Physics 2014-05-07 Nagi Khalil , Vicente Garzó , Andrés Santos

Hydrodynamic equations for an isotropic solution of active polar filaments are derived from a microscopic mean-field model of the forces exchanged between motors and filaments. We find that a spatial dependence of the motor stepping rate…

Soft Condensed Matter · Physics 2015-06-24 T. B. Liverpool , M. Cristina Marchetti

Microscopic dynamics reveal the origin of the bulk rheological response in complex fluids. In model systems particle motion can be tracked, but for industrially relevant samples this is often impossible. Here we adapt differential dynamic…

Soft Condensed Matter · Physics 2022-02-23 James A. Richards , Vincent A. Martinez , Jochen Arlt

Active fluids made of powered suspended particles have unique abilities to self-generate flow and density structures. How such dynamics can be triggered and leveraged by external cues is a key question of both biological and applied…

Soft Condensed Matter · Physics 2025-07-21 Malo Marmol , Cécile Cottin-Bizonne , Andrejs Cebers , Damien Faivre , Christophe Ybert

Recent experimental developments showed that the use of the radiation pressure, induced by a continuous laser wave, to control fluid-fluid interface deformations at the microscale, represents a very promising alternative to electric or…

Soft Condensed Matter · Physics 2010-07-26 Hamza Chraibi , Didier Lasseux , Régis Wunenburger , Eric Arquis , Jean-Pierre Delville

Recent theoretical works exploring the hydrodynamics of soft material in non-equilibrium situations are reviewed. We discuss the role of hydrodynamic interactions for three different systems: i) the deformation and orientation of…

Soft Condensed Matter · Physics 2012-03-08 Manoel Manghi , Xaver Schlagberger , Yong-Woon Kim , Roland R. Netz

This work explores the dynamics of capillary effects in pure H2O excited by hydrodynamic cavitation, which has been reported to introduce a non-equilibrium state of para- and ortho- isomers of water. Differential measurements are conducted…

Fluid Dynamics · Physics 2023-02-09 Serge Kernbach , Sergey M. Pershin

We study the steady flow-induced deformation between an incompressible non-Newtonian fluid and a three-dimensional (3D) deformable channel. Specifically, we provide a comprehensive experimental--theoretical framework for such flows of…

Fluid Dynamics · Physics 2025-09-04 SungGyu Chun , Ivan C. Christov , Jie Feng

The theory of `Balanced Neural Networks' is a very popular explanation for the high degree of variability and stochasticity in the brain's activity. We determine equations for the hydrodynamic limit of a balanced all-to-all network of 2n…

Mathematical Physics · Physics 2024-12-24 James MacLaurin , Pedro Vilanova

We consider the linear stability of two-dimensional nonlinear magnetohydrodynamic basic states to long-wavelength three-dimensional perturbations. Following Hughes & Proctor (2009a), the 2D basic states are obtained from a specific forcing…

Solar and Stellar Astrophysics · Physics 2009-12-31 A. Courvoisier , D. W. Hughes , M. R. E. Proctor

We consider the dynamics of two layers of incompressible electrically conducting fluid interacting with the magnetic field, which are confined within a 3D horizontally infinite slab and separated by a free internal interface. We assume that…

Analysis of PDEs · Mathematics 2017-06-22 Yanjin Wang

The gradual fall of the shear viscosity below 2.8K, observed in a liquid helium 4 flowing through a capillary, is examined. The disappearance of the shear viscosity in a capillary flow is a manifestation of superfluidity in dissipative…

Superconductivity · Physics 2007-07-16 Shun-ichiro Koh
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