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Moving vortices in thin superconducting films are considered within the time-dependent London description. The dissipation due to out-of-core normal excitations for two vortices moving together turns out to have a minimum for the separation…

Superconductivity · Physics 2022-02-09 V. G. Kogan , N. Nakagawa

The 2D flow of a foam confined in a Hele-Shaw cell through a contraction is investigated. Its rheological features are quantified using image analysis, with measurements of the elastic stress, rate of plasticity, and velocity. The behavior…

Soft Condensed Matter · Physics 2015-05-13 Benjamin Dollet

Dense suspensions often exhibit a dramatic response to large external deformation. The recent body of work has related this behavior to transition from an unconstrained lubricated to a constrained frictional state. Here, we use numerical…

Soft Condensed Matter · Physics 2023-05-24 Abhinendra Singh , Kuniyasu Saitoh

We investigate the maximum speed at which a driven superfluid can flow through a narrow constriction with a size on the order of the healing length. Considering dissipation via the thermal nucleation of quantized vortices, we calculate the…

Mesoscale and Nanoscale Physics · Physics 2017-06-15 Adrian Del Maestro , Bernd Rosenow

Active emulsions and liquid crystalline shells are intriguing and experimentally realisable types of topological matter. Here we numerically study the morphology and spatiotemporal dynamics of a double emulsion, where one or two passive…

The motion of colloids in the flow field of a viscous liquid is investigated. The small colloid size compare to the macroscopical scale of the flow allow to calculate their velocity relative to that of the liquid. If the inner colloid…

Adaptation and Self-Organizing Systems · Physics 2013-12-30 S. V. Iordanski

The asymptotic derivation of a new family of one-dimensional, weakly nonlinear and weakly dispersive equations that model the flow of an ideal fluid in an elastic vessel is presented. Dissipative effects due to the viscous nature of the…

Fluid Dynamics · Physics 2020-02-20 Dimitrios Mitsotakis , Denys Dutykh , Li Qian

The study of liquid crystals at equilibrium has led to fundamental insights into the nature of ordered materials, as well as to practical applications such as display technologies. Active nematics are a fundamentally different class of…

Soft Condensed Matter · Physics 2015-08-19 Stephen J. DeCamp , Gabriel S. Redner , Aparna Baskaran , Michael F. Hagan , Zvonimir Dogic

In this technical note, we demonstrate the robustness of our numerical scheme of vorticity iteration in dealing with the dipole-wall interaction at small viscosity, with emphasis on mesh convergence, boundary vorticity as well as wall…

Fluid Dynamics · Physics 2019-03-15 F. Lam

We study a level-set mean curvature flow equation with driving and source terms, and establish convergence results on the asymptotic behavior of solutions as time goes to infinity under some additional assumptions. We also study the…

Analysis of PDEs · Mathematics 2019-06-13 Yoshikazu Giga , Hiroyoshi Mitake , Hung V. Tran

We introduce a general description of localised distortions in active nematics using the framework of active nematic multipoles. We give the Stokesian flows for arbitrary multipoles in terms of differentiation of a fundamental flow response…

Soft Condensed Matter · Physics 2023-04-04 Alexander J. H. Houston , Gareth P. Alexander

We investigate the collective dynamics of self-propelled droplets, confined in a one dimensional micro-fluidic channel. On one hand, neighboring droplets align and form large trains of droplets moving in the same direction. On the other…

Soft Condensed Matter · Physics 2020-05-14 Pierre Illien , Charlotte de Blois , Yang Liu , Marjolein N. van der Linden , Olivier Dauchot

Topological defects in active polar fluids exhibit complex dynamics driven by internally generated stresses, reflecting the deep interplay between topology, flow, and non-equilibrium hydrodynamics. Feedback control offers a powerful means…

Soft Condensed Matter · Physics 2025-07-28 Abhinav Singh , Petros Koumoutsakos

We consider the hydrodynamic theory of an active fluid of self-propelled particles with nematic aligning interactions. This class of materials has polar symmetry at the microscopic level, but forms macrostates of nematic symmetry. We…

Soft Condensed Matter · Physics 2012-04-17 Aparna Baskaran , M. Cristina Marchetti

Motion of a rigid body immersed in a semi-infinite expanse of gas in a $d$-dimensional region bounded by an infinite plane wall is studied for free molecular flow on the basis of the free Vlasov equation under the specular boundary…

Analysis of PDEs · Mathematics 2022-05-11 Kai Koike

We use continuum simulations to study the impact of friction on the ordering of defects in an active nematic. Even in a frictionless system, +1/2 defects tend to align side-by-side and orient antiparallel reflecting their propensity to…

Soft Condensed Matter · Physics 2020-11-25 Kristian Thijssen , Mehrana R. Nejad , Julia M. Yeomans

The motion of a freely rotating prolate spheroid in a simple shear flow of a dilute polymeric solution is examined in the limit of large particle aspect ratio, $\kappa$. A regular perturbation expansion in the polymer concentration, $c$, a…

Fluid Dynamics · Physics 2023-10-03 Arjun Sharma , Donald L. Koch

In the finite element analysis with fast decoupled time integration scheme for viscoelastic fluid (the Leonov model) flow, we investigate strong nonlinear behavior in 2D creeping contraction flow. The algorithm is applicable in the whole…

Fluid Dynamics · Physics 2011-11-02 Youngdon Kwon

In this paper, we study the linear stability properties of perturbations around the homogeneous Couette flow for a 2D isentropic compressible fluid in the domain $\mathbb{T}\times \mathbb{R}$. In the inviscid case there is a generic…

Analysis of PDEs · Mathematics 2021-08-24 Paolo Antonelli , Michele Dolce , Pierangelo Marcati

We study the dynamics of topological defects in continuum theories governed by a free energy minimization principle, building on our recently developed framework [Romano J, Mahault B and Golestanian R 2023 J. Stat. Mech.: Theory Exp.…

Soft Condensed Matter · Physics 2024-02-26 Jacopo Romano , Benoît Mahault , Ramin Golestanian