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We construct a model to explore the hydrodynamic interactions of active inclusions in curved biological membranes. The curved membrane is modelled as a two dimensional layer of highly viscous fluid, surrounded by external solvents of…

Soft Condensed Matter · Physics 2025-06-23 Sarthak Bagaria , Rickmoy Samanta

We formulate and explore a generic continuum model of a polarizable active layer with neo-Hookean elasticity and chemo-mechanical interactions. Homogeneous solutions of the model equations exhibit a stationary long-wave instability when the…

Biological Physics · Physics 2012-04-03 M. H. Köpf , L. M. Pismen

We explore the emergence of nonequilibrium collective motion in disordered non-thermal active matter when persistent motion and crowding effects compete, using simulations of a two-dimensional model of size polydisperse self-propelled…

Soft Condensed Matter · Physics 2022-07-27 Yann-Edwin Keta , Robert L. Jack , Ludovic Berthier

The thermal fluctuation spectrum of a fluid membrane coupled harmonically to a solid support by an array of tethers is calculated. For strong tethers, this spectrum exhibits non-monotonic, anisotropic behavior with a relative maximum at a…

Soft Condensed Matter · Physics 2008-12-08 Rolf-Juergen Merath , Udo Seifert

Perturbations of fluid media can give rise to non-equilibrium dynamics, which may in turn cause motion of immersed inclusions. We consider perturbations ("activations") that are local in space and time, of a fluid density which is…

Statistical Mechanics · Physics 2020-03-18 Christian M. Rohwer , Mehran Kardar , Matthias Krüger

We study the dynamics of orientational phase ordering in fluid membranes. Through numerical simulation we find an unusually slow coarsening of topological texture, which is limited by subdiffusive propagation of membrane curvature. The…

Soft Condensed Matter · Physics 2009-11-07 Nariya Uchida

We study contact line induced instabilities for a thin film of fluid under destabilizing gravitational force in three dimensional setting. In the previous work (Phys. Fluids, {\bf 22}, 052105 (2010)), we considered two dimensional flow,…

Fluid Dynamics · Physics 2015-03-19 T. -S. Lin , L. Kondic , A. Filippov

Active filaments, such as microtubules with attached cargo-carrying motor proteins, are important dynamic structures for fluid transport in and around living cells. The mathematical models of active filaments appearing in the literature…

Fluid Dynamics · Physics 2025-08-19 Ilteber R. Ozdemir , Bethany Clarke , Yongyun Hwang , Eric E. Keaveny

In this paper we address the issue of stability for the near-inertial Pollard waves, as a model for the halocline in the region of the Arctic Ocean centered around the North Pole, derived in Puntini (2026). Adopting the short-wavelength…

Geophysics · Physics 2026-04-09 Christian Puntini

We study theoretically the effects of confinement on active polar gels such as the actin network of eukaryotic cells. Using generalized hydrodynamics equations derived for active gels, we predict, in the case of quasi one-dimensional…

Subcellular Processes · Quantitative Biology 2015-06-26 R. Voituriez , J-F Joanny , J. Prost

A connection between the dynamics of a sine-Gordon chain and a certain static membrane folding problem was recently found. The one-dimensional membrane profile is a cross-section of the position-time sine-Gordon amplitude profile. Here we…

Soft Condensed Matter · Physics 2013-08-20 Haim Diamant , Thomas A. Witten

We study two models of overdamped self-propelled disks in two dimensions, with and without aligning interactions. Active mesoscale flows leading to chaotic advection emerge in both models in the homogeneous dense fluid away from dynamical…

Soft Condensed Matter · Physics 2024-06-07 Yann-Edwin Keta , Juliane Klamser , Robert L. Jack , Ludovic Berthier

Microswimmers and active colloids often move in confined systems, including those involving interfaces. Such interfaces, especially at the microscale, may deform in response to the stresses of the flow created by the active particle. We…

Soft Condensed Matter · Physics 2026-01-14 Adam Hitin Bialus , Bhargav Rallabandi , Naomi Oppenheimer

Laminar-turbulent pattern formation is a distinctive feature of the intermittency regime in subcritical plane shear flows. By performing extensive numerical simulations of the plane channel flow, we show that the pattern emerges from a…

Fluid Dynamics · Physics 2022-12-16 Pavan V. Kashyap , Yohann Duguet , Olivier Dauchot

Active-particle suspensions exhibit distinct polarization-density patterns in activity landscapes, even without anisotropic particle interactions. Such polarization without alignment forces is at work in motility-induced phase separation…

Soft Condensed Matter · Physics 2021-06-09 Nicola Andreas Söker , Sven Auschra , Viktor Holubec , Klaus Kroy , Frank Cichos

We study the equilibrium configurations of a possibly asymmetric fluid-structure-interaction problem. The fluid is confined in a bounded planar channel and is governed by the stationary Navier-Stokes equations with laminar inflow and…

Analysis of PDEs · Mathematics 2023-08-11 Edoardo Bocchi , Filippo Gazzola

Active fluids are intrinsically out-of-equilibrium systems due to the internal energy injection of the active constituents. We show here that a transition from a motion-less isotropic state towards a flowing polar one can be possibly driven…

Soft Condensed Matter · Physics 2021-05-12 M. G. Giordano , F. Bonelli , L. N. Carenza , G. Gonnella , G. Negro

We investigate theoretically the collective dynamics of a suspension of low Reynolds number swimmers that are confined to two dimensions by a thin fluid film. Our model swimmer is characterized by internal degrees of freedom which locally…

Biological Physics · Physics 2015-05-19 M. Leoni , T. B. Liverpool

Continuum simulation is employed to study ion transport and fluid flow through a nanopore in a solid-state membrane under an applied potential drop. Results show the existence of concentration polarization layers on the surfaces of the…

Fluid Dynamics · Physics 2015-06-16 Mao Mao , Sandip Ghosal , Guohui Hu

We consider a system of two reaction-diffusion-advection equations describing the one dimensional directed motion of particles with superimposed diffusion and mutual alignment. For this system we show the existence of traveling wave…

Analysis of PDEs · Mathematics 2021-01-19 Heinrich Freistühler , Jan Fuhrmann
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