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We simulate the nonlocal Stokesian hydrodynamics of an elastic filament which is active due a permanent distribution of stresslets along its contour. A bending instability of an initially straight filament spontaneously breaks flow symmetry…

Over the past decade, autophoretic colloids have emerged as a prototypical system for studying self-propelled motion at microscopic scales, with promising applications in microfluidics, micromachinery, and therapeutics. Their motion in a…

Soft Condensed Matter · Physics 2026-05-19 Ursy Makanga , Akhil Varma , Panayiota Katsamba

We discuss a two-dimensional model for the dynamics of axonemal deformations driven by internally generated forces of molecular motors. Our model consists of an elastic filament pair connected by active elements. We derive the dynamic…

Biological Physics · Physics 2009-11-06 Sebastien Camalet , Frank Julicher

We describe simulations of a microscopic elastic filament immersed in a fluid and subject to a uniform external force. Our method accounts for the hydrodynamic coupling between the flow generated by the filament and the friction force it…

Soft Condensed Matter · Physics 2009-11-11 M. Cosentino Lagomarsino , I. Pagonabarraga , C. P. Lowe

In active matter systems, deformable boundaries provide a mechanism to organize internal active stresses and perform work on the external environment. To study a minimal model of such a system, we perform particle-based simulations of an…

Soft Condensed Matter · Physics 2022-01-05 Matthew S. E. Peterson , Aparna Baskaran , Michael F. Hagan

A phenomenological description for active bundles of polar filaments is presented. The activity of the bundle results from crosslinks, that induce relative displacements between the aligned filaments. Our generic description is based on…

Statistical Mechanics · Physics 2009-11-07 Karsten Kruse , Frank Julicher

Many swimming microorganisms, such as bacteria and sperm, use flexible flagella to move through viscoelastic media in their natural environments. In this paper we address the effects a viscoelastic fluid has on the motion and beating…

Soft Condensed Matter · Physics 2009-11-13 Henry C. Fu , Charles W. Wolgemuth , Thomas R. Powers

Flexible filaments moving in viscous fluids are ubiquitous in the natural microscopic world. For example, the swimming of bacteria and spermatozoa as well as important physiological functions at organ-level, such as the cilia-induced motion…

Soft Condensed Matter · Physics 2019-06-05 Panayiota Katsamba , Eric Lauga

We study the onset of spontaneous dynamics in the follower force model of an active filament, wherein a slender elastic filament in a viscous liquid is clamped normal to a wall at one end and subjected to a tangential compressive force at…

Fluid Dynamics · Physics 2025-04-02 Ory Schnitzer

We study the over-damped dynamics of individual one-dimensional elastic filaments subjected to a chiral active force which propels each point of the filament at a fixed angle relative to the tangent vector of the filament at that point.…

Soft Condensed Matter · Physics 2026-03-09 Chanania Steinbock , Daniel A. Beller

Worm-like filaments that are propelled homogeneously along their tangent vector are studied by Brownian dynamics simulations. Systems in two dimensions are investigated, corresponding to filaments adsorbed to interfaces or surfaces. A large…

Soft Condensed Matter · Physics 2016-08-23 Rolf E. Isele-Holder , Jens Elgeti , Gerhard Gompper

It is known from the wave-like motion of microtubules in motility assays that the piconewton forces that motors produce can be sufficient to bend the filaments. In cellular phenomena such as cytosplasmic streaming, molecular motors…

Soft Condensed Matter · Physics 2017-07-11 Gabriele De Canio , Eric Lauga , Raymond E. Goldstein

Eukaryotic flagella are active structures with a complex architecture of microtubules, motor proteins and elastic links. They are capable of whiplike motions driven by motors sliding along filaments that are themselves constrained at an…

Soft Condensed Matter · Physics 2012-11-22 Raghunath Chelakkot , Arvind Gopinath , L. Mahadevan , Michael F. Hagan

Active flexible filaments form the classical continuum framework for modelling the locomotion of spermatozoa and algae driven by the periodic oscillation of flagella. This framework also applies to the locomotion of various artificial…

Biological Physics · Physics 2025-10-14 John Severn , Eric Lauga

We study the elastic properties of a rigid filament in a bath of self-propelled particles. We find that while fully flexible filaments swell monotonically upon increasing the strength of the propelling force, rigid filaments soften for…

Soft Condensed Matter · Physics 2015-06-23 Joseph Harder , Chantal Valeriani , Angelo Cacciuto

Non-equilibrium processes which convert chemical energy into mechanical motion enable the motility of organisms. Bundles of inextensible filaments driven by energy transduction of molecular motors form essential components of micron-scale…

Soft Condensed Matter · Physics 2013-06-13 Abhrajit Laskar , Rajeev Singh , Somdeb Ghose , Gayathri Jayaraman , P. B. Sunil Kumar , R. Adhikari

We analyze a model of mutually-propelled filaments suspended in a two-dimensional solvent. The system undergoes a mean-field isotropic-nematic transition for large enough filament concentrations and the nematic order parameter is allowed to…

Soft Condensed Matter · Physics 2011-05-26 L. Giomi , L. Mahadevan , B. Chakraborty , M. F. Hagan

We study a slender filament beating in a viscous fluid with novel curvature-dependent bending stiffness. Our numerical and experimental investigations reveal that such differential stiffness can sustain planar bending waves far along…

Motivated by diverse phenomena in cellular biophysics, including bacterial flagellar motion and DNA transcription and replication, we study the overdamped nonlinear dynamics of a rotationally forced filament with twist and bend elasticity.…

Soft Condensed Matter · Physics 2009-10-31 Charles W. Wolgemuth , Thomas R. Powers , Raymond E. Goldstein

We theoretically investigate self-oscillating waves of an active material, which have recently been introduced as a non-symmetric part of the elastic moduli, termed odd elasticity. Using Purcell's three-link swimmer model, we reveal that an…

Soft Condensed Matter · Physics 2022-06-22 Kenta Ishimoto , Clément Moreau , Kento Yasuda
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