How does a flexible chain of active particles swell?

Abstract

We study the swelling of a flexible linear chain composed of active particles by analytical theory and computer simulation. Three different situations are considered: a free chain, a chain confined to an external harmonic trap, and a chain dragged at one end. First we consider an ideal chain with harmonic springs and no excluded volume between the monomers. The Rouse model of polymers is generalized to the case of self-propelled monomers and solved analytically. The swelling, as characterized by the spatial extension of the chain, scales with the monomer number defining a Flory exponent $\nu$ which is $\nu =1/2,0,1$ in the three different situations. As a result, we find that activity does not change the Flory exponent but affects the prefactor of the scaling law. This can be quantitatively understood by mapping the system onto an equilibrium chain with a higher effective temperature such that the chain swells under an increase of the self-propulsion strength. We then use computer simulations to study the effect of self-avoidance on active polymer swelling. In the three different situations, the Flory exponent is now $\nu =3/4,1/4,1$ and again unchanged under self-propulsion. However, the chain extension behaves non-monotonic in the self-propulsion strength.

arXiv comment(9 pages, 5 figures)

References in corpus (38)

• Self-motile colloidal particles: from directed propulsion to random walk
• Dynamical clustering and phase separation in suspensions of self-propelled colloidal particles
• Active Brownian Particles. From Individual to Collective Stochastic Dynamics
• Meso-scale turbulence in living fluids
• Active Motion of Janus Particle by Self-thermophoresis in Defocused Laser Beam
• Microswimmers in Patterned Environments
• Sedimentation of active colloidal suspensions
• Diffusive transport without detailed balance in motile bacteria: Does microbiology need statistical physics?
• Circular motion of asymmetric self-propelling particles
• Non-equilibrium clustering of self-propelled rods
• Active Brownian Motion Tunable by Light
• Hydrodynamics determines collective motion and phase behavior of active colloids
• Brownian motion of a self-propelled particle
• Tuned, driven, and active soft matter
• Gravitaxis of asymmetric self-propelled colloidal particles
• Rectification of Swimming Bacteria and Self Driven Particle Systems by Arrays of Asymmetric Barriers
• A Classical Density-Functional Theory for Describing Water Interfaces
• Tunable long range forces mediated by self-propelled colloidal hard spheres
• Unusual swelling of a polymer in a bacterial bath
• Active phase and amplitude fluctuations of flagellar beating
• Activity induced collapse and re-expansion of rigid polymers
• The self-propelled Brownian spinning top: dynamics of a biaxial swimmer at low Reynolds numbers
• Non-conservative forces and effective temperatures in active polymers
• Soft deformable self-propelled particles
• Controlling active self-assembly through broken particle symmetries
• Filling an emulsion drop with motile bacteria
• Autonomous Motility of Active Filaments due to Spontaneous Flow-Symmetry Breaking
• Can the self-propulsion of anisotropic microswimmers be described by using forces and torques?
• Antiphase Synchronization in a Flagellar-Dominance Mutant of Chlamydomonas
• Enhanced motility of a microswimmer in rigid and elastic confinement
• Mesoscale simulations of polymer dynamics in microchannel flows
• Phase Behavior of Active Swimmers in Depletants: Molecular Dynamics and Integral Equation Theory
• Non-Gaussian behaviour of a self-propelled particle on a substrate
• Dragging a polymer in a viscous fluid: steady-state and transient
• Discrete elastic model for stretching-induced flagellar polymorphs
• Differently Shaped Hard Body Colloids in Confinement: From passive to active particles
• Directed Motion of Elongated Active Polymers
• Mechanisms of carrier transport induced by a microswimmer bath

Cited by in corpus (44)

• Active Particles in Complex and Crowded Environments
• Computational models for active matter
• Self-propelled Worm-like Filaments: Spontaneous Spiral Formation, Structure, and Dynamics
• Active particles with soft and curved walls: Equation of state, ratchets, and instabilities
• Globule-like conformation and enhanced diffusion of active polymers
• Conformational properties of active semiflexible polymers
• Flagellar Dynamics of Chains of Active Janus Particles Fueled by an AC electric field
• Collective Dynamics of Self-propelled Semiflexible Filaments
• Dynamically Generated Patterns in Dense Suspensions of Active Filaments
• Dynamics of Active Rouse Chains
• Structure and dynamics of a self-propelled semiflexible filament
• Chain reconfiguration in active noise
• Active polymer rings: activity-induced collapse and dynamical arrest
• Active Colloidal Molecules
• Effects of active fluctuations on energetics of a colloidal particle: superdiffusion, dissipation and entropy production
• Conformation and dynamics of a self-avoiding active flexible polymer
• Phase behavior of active Brownian disks, spheres, and dumbbells
• Active Brownian filaments with hydrodynamic interactions: conformations and dynamics
• Analytic Solution of an Active Brownian Particle in a Harmonic Well
• Elasticity-based polymer sorting in active fluids: A Brownian dynamics study
• Chemotaxis of cargo-carrying self-propelled particles
• Anomalous diffusion for active Brownian particles cross-linked to a networked polymer: Langevin dynamics simulation and theory
• The Coil-Globule transition in self-avoiding active polymers
• Active dynamics and spatially coherent motion in chromosomes subject to enzymatic force dipoles
• Membrane penetration and trapping of an active particle
• Time-dependent properties of interacting active matter: dynamical behavior of one-dimensional systems of self-propelled particles
• Anisotropic dynamics of a self-assembled colloidal chain in an active bath
• Reconfiguration, swelling and tagged monomer dynamics of a single polymer chain in Gaussian and non-Gaussian active baths
• Dynamics of a linear magnetic "microswimmer molecule"
• Dynamics of Active Polar Ring Polymers
• Activity-assisted self-assembly of colloidal particles
• Getting drowned in a swirl: deformable bead-spring model microswimmers in external flow fields
• Hydrodynamics of polymers in an active bath
• Effective forces between active polymers
• Delayed excitations induce polymer looping and coherent motion
• Scaling behavior of non-equilibrium measures in internally driven elastic assemblies
• Mesoscopic non-equilibrium measures can reveal intrinsic features of the active driving
• Dynamic Overlap Concentration Scale of Active Colloids
• Minimal model of an active solid deviates from equilibrium mechanics
• Folding-unfolding transition of active polymer on the reconfiguration of bidirectional tangential active force
• Coupling an elastic string to an active bath: the emergence of inverse damping
• Spiral folding of a flexible chain of chiral active particles
• Diffusion of an Active Particle Bound to a Generalized Elastic Model: Fractional Langevin Equation
• Active chiral molecules in activity gradients