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In this article we investigate traveling wave solutions of a nonlinear differential equation describing the behaviour of one-dimensional viscoelastic medium with implicit constitutive relations. We focus on a subclass of such models known…

Mathematical Physics · Physics 2015-07-28 H. A. Erbay , Y. Şengül

Recently introduced equilibrium Wigner functions for spin-one-half particles are used in the semiclassical kinetic equations to study the relation between spin polarization and vorticity. It is found, in particular, that such a framework…

Nuclear Theory · Physics 2019-07-16 Avdhesh Kumar

Viewed under a fluorescence microscope, the actomyosin cytoskeleton presents vivid streaks of lines together with persistent oscillatory waves. Using an active hydrodynamic approach, we show how a uniform distribution of single or mixture…

Soft Condensed Matter · Physics 2025-04-25 Ayan Roychowdhury , Saptarshi Dasgupta , Madan Rao

Active droplets are artificial microswimmers built from a liquid dispersion by microfluidic tools and showing self-propelled motion. These systems hold particular interest for mimicking biological phenomena, such as some aspects of cell…

Soft Condensed Matter · Physics 2023-06-14 Adriano Tiribocchi , Mihir Durve , Marco Lauricella , Andrea Montessori , Davide Marenduzzo , Sauro Succi

We utilize a generalized Irving-Kirkwood procedure to derive the hydrodynamic equations of an active matter suspension with internal structure and driven by internal torque. The internal structure and torque of the active Brownian particles…

Statistical Mechanics · Physics 2017-06-22 Dibyendu Mandal , Katherine Klymko , Kranthi K. Mandadapu

A theoretical model for stratified epithelium is presented. The viscoelastic properties of the tissue is assumed to be dependent on the spatial distribution of proliferative and differentiated cells. Based on this assumption, a hydrodynamic…

Biological Physics · Physics 2016-06-08 Wei-Ting Yeh , Hsuan-Yi Chen

We construct two-dimensional steady periodic hydroelastic waves with vorticity that propagate on water of finite depth under a deformable floating elastic plate which is modeled by using the special Cosserat theory of hyperelastic shells…

Analysis of PDEs · Mathematics 2024-02-07 Bogdan-Vasile Matioc , Emilian Parau

Dynamic structuring of water is a key player in a large class of processes underlying biochemical and technological developments today, the latter often involving electric fields. However, the anisotropic coupling between the water…

Soft Condensed Matter · Physics 2019-05-29 Andreas Baer , Zoran Miličević , David M. Smith , Ana-Sunčana Smith

Spontaneously flowing liquids have been successfully engineered from a variety of biological and synthetic self-propelled units. Together with their orientational order, wave propagation in such active fluids have remained a subject of…

Soft Condensed Matter · Physics 2018-10-10 Delphine Geyer , Alexandre Morin , Denis Bartolo

We develop an effective two-dimensional coarse-grained description for the coupled system of a planar fluid membrane anchored to a thin layer of polar ordered active fluid below. The macroscopic orientation of the active fluid layer is…

Soft Condensed Matter · Physics 2013-09-16 Niladri Sarkar , Abhik Basu

We present a continuum level analytical model of a droplet of active contractile fluid consisting of filaments and motors. We calculate the steady state flows that result from a splayed polarisation of the filaments. We account for the…

Cell Behavior · Quantitative Biology 2014-02-20 Carl A. Whitfield , Davide Marenduzzo , Raphaël Voituriez , Rhoda J. Hawkins

Terrestrial experiments on active particles, such as Volvox, involve gravitational forces, torques and accompanying monopolar fluid flows. Taking these into account, we analyse the dynamics of a pair of self-propelling, self-spinning active…

Soft Condensed Matter · Physics 2020-03-04 Austen Bolitho , Rajesh Singh , R. Adhikari

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

The conserved Kuramoto-Sivashinsky equation is considered as the evolution equation of amorphous thin film growth in one- and in two-dimensions. The role of the nonlinear term $\Delta (\ | \nabla u\ | ^{2})$ and the properties of the…

Adaptation and Self-Organizing Systems · Physics 2019-09-26 Mohammed Benlahsen , Gabriella Bognár , Mohammed Guedda , Zoltán Csáti , Krisztián Hriczó

I put forward a continuum theory for active nematic gels, defined as fluids or suspensions of orientable rodlike objects endowed with active dynamics, that is based on symmetry arguments and compatibility with thermodynamics. The starting…

Soft Condensed Matter · Physics 2017-11-15 Stefano S Turzi

The lack of detailed balance in active colloidal suspensions allows dissipation to determine stationary states. Here we show that slow viscous flow produced by polar or apolar active colloids near plane walls mediates attractive…

Soft Condensed Matter · Physics 2016-11-24 Rajesh Singh , R. Adhikari

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

Temperature plays a very important role in various biological processes like the evolution of life, as it is anticipated that early life existed in a very hot environment that eventually cooled down with time. In vitro experiments,…

Soft Condensed Matter · Physics 2023-09-07 Anweshika Pattanayak , Abhishek Chaudhuri

We study the dynamics of a thick polar epithelium subjected to the action of both an electric and a flow field in a planar geometry. We develop a generalized continuum hydrodynamic description and describe the tissue as a two component…

Cell Behavior · Quantitative Biology 2018-11-12 Niladri Sarkar , Jacques Prost , Frank Jülicher

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
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