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We examine a mechanism of locomotion of active particles whose surface is uniformly coated with mobile enzymes. The enzymes catalyze a reaction that drives phoretic flows but their homogeneous distribution forbids locomotion by symmetry. We…

For an elastic system that is non-conservative but autonomous, subjected for example to time-independent loading by a steadily flowing fluid (air or water), a dangerous bifurcation, such as a sub-critical bifurcation, or a cyclic fold, will…

Dynamical Systems · Mathematics 2015-08-03 J. Michael T. Thompson , Jan Sieber

We theoretically investigate the kinetics of the folding transition of a single semiflexible polymer. In the folding transition, the growth rate decrease with an increase in the number of monomers in a collapsed domain, suggesting that the…

Soft Condensed Matter · Physics 2009-11-13 Natsuhiko Yoshinaga

We present a novel method to investigate the dynamics of a single semiflexible polymer, subject to anisotropic friction in a viscous fluid. In contrast to previous approaches, we do not rely on a discrete bead-rod model, but introduce a…

Biomolecules · Quantitative Biology 2009-11-13 Tobias Munk , Oskar Hallatschek , Chris H. Wiggins , Erwin Frey

Kinetics of conformational change of a semiflexible polymer under mechanical external field were investigated with Langevin dynamics simulations. It is found that a semiflexible polymer exhibits large hysteresis in mechanical…

Soft Condensed Matter · Physics 2009-11-10 Natsuhiko Yoshinaga , Kenichi Yoshikawa , Takao Ohta

We investigate the transport properties of active particles undergoing a three-state run-and-tumble dynamics in one dimension, induced by non-reciprocal transition rates between self-propelling velocity states $\{-v, 0, +v\}$ that…

Statistical Mechanics · Physics 2025-08-15 Julio C. R. Romo-Cruz , Francisco J. Sevilla

Inspired by recent experiments on chromosomal dynamics, we introduce an exactly solvable model for the interaction between a flexible polymer and a set of motor-like enzymes. The enzymes can bind and unbind to specific sites of the polymer…

Soft Condensed Matter · Physics 2019-04-03 Stefanie Put , Takahiro Sakaue , Carlo Vanderzande

We consider active Brownian particles that intermittently switch between active and inactive states. Such behavior is ubiquitous at all scales, from bacteria to animals and in artificial active systems. We derive exact expressions for key…

Statistical Mechanics · Physics 2025-09-24 Fernando Peruani , Debasish Chaudhuri

We have studied the existence of traveling pulses in a general Type-I excitable 1-dimensional medium. We have obtained the stability region and characterized the different bifurcations behind either the destruction or loss of stability of…

Pattern Formation and Solitons · Physics 2022-10-05 Pablo Moreno-Spiegelberg , Andreu Arinyo-i-Prats , Daniel Ruiz-Reynés , Manuel A. Matias , Damià Gomila

We analyze the conformational dynamics and statistical properties of an active polymer model. The polymer is described as a freely-jointed bead-rod chain subject to stochastic active force dipoles that act on the suspending solvent where…

Soft Condensed Matter · Physics 2022-02-09 Achal Mahajan , David Saintillan

Polymers with active segments constitute prospective future materials and are used as a model for some biological systems such as chromatin. The directions of the active forces are typically introduced with temporal or spatial correlations…

Soft Condensed Matter · Physics 2024-11-25 Adam H. T. P. Höfler , Iurii Chubak , Christos N. Likos , Jan Smrek

General amplitude equations for reaction-diffusion systems near to the soft onset of birhythmicity described by a supercritical pitchfork-Hopf bifurcation are derived. Using these equations and applying singular perturbation theory, we show…

Pattern Formation and Solitons · Physics 2009-10-31 Michael Stich , Mads Ipsen , Alexander S. Mikhailov

We study the dynamics and conformation of polymers composed by active monomers. By means of Brownian dynamics simulations we show that when the direction of the self-propulsion of each monomer is aligned with the backbone, the polymer…

Soft Condensed Matter · Physics 2018-11-28 Valentino Bianco , Emanuele Locatelli , Paolo Malgaretti

We study the activated motion of adsorbed polymers which are driven over a structured substrate by a localized point force.Our theory applies to experiments with single polymers using, for example, tips of scanning force microscopes to drag…

Soft Condensed Matter · Physics 2009-11-11 P. Kraikivski , R. Lipowsky , J. Kierfeld

Over the past few decades, oscillating flexible foils have been used to study the physics of organismal propulsion in different fluid environments. Here we extend this work to a study of flexible foils in a frictional environment. When the…

Biological Physics · Physics 2018-02-07 Xiaolin Wang , Silas Alben

Polymer-like structures are ubiquitous in nature and synthetic materials. Their configurational and migration properties are often affected by crowded environments leading to non-thermal fluctuations. Here, we study an ideal Rouse chain in…

Soft Condensed Matter · Physics 2024-03-12 Pietro Luigi Muzzeddu , Andrea Gambassi , Jens-Uwe Sommer , Abhinav Sharma

The aim of this work is to study the dynamics and stability of soft shape-morphing configurations and specifically the modes of interaction between the front and rear airfoil segments. Initially we present several steady-state solutions,…

Fluid Dynamics · Physics 2018-05-08 Netanel Hassan , Shai B. Elbaz , Amir D. Gat

The structural properties of an economical model for a confined plasma turbulence governor are investigated through bifurcation and stability analyses. A close relationship is demonstrated between the underlying bifurcation framework of the…

Plasma Physics · Physics 2009-11-07 R. Ball , R. L. Dewar , H. Sugama

We study an active random walker model in which a particle's motion is determined by a self-generated field. The field encodes information about the particle's path history. This leads to either self-attractive or self-repelling behavior.…

Statistical Mechanics · Physics 2009-11-11 R. Grima

Convection in an infinite fluid layer is often modelled by considering a finite box with periodic boundary conditions in the two horizontal directions. The translational invariance of the problem implies that any solution can be translated…

Dynamical Systems · Mathematics 2019-10-03 Alastair M. Rucklidge