Tangentially Driven Active Polar Linear Polymers -- An Analytical Study

Abstract

The conformational and dynamical properties of isolated flexible active polar linear polymers (APLPs) are studied analytically. The APLPs are modeled as Gaussian bead-spring linear chains augmented by tangential active forces, both in a discrete and continuous representations. The polar forces lead to linear non-Hermitian equations of motion, which are solved by an eigenfunction expansion in terms of a biorthogonal basis set. Our calculations show that the polymer conformations are independent of activity. On the contrary, tangential propulsion strongly impacts the polymer dynamics and yields an active ballistic regime as well as activity-enhanced long-time diffusion, regimes which are both absent in passive systems. The polar forces imply a coupling of modes in the eigenfunction representation, in particular with the translational mode, with a respective strong influence on the polymer dynamics. The total polymer mean-square displacement on scales smaller than their radius of gyration is determined by the active internal dynamics rather than the collective center-of-mass motion, in contrast to active Brownian polymers, reflecting the distinct difference in the propulsion mechanism.

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References in corpus (17)

• Self-motile colloidal particles: from directed propulsion to random walk
• Spontaneous motion in hierarchically assembled active matter
• Physics of Microswimmers - Single Particle Motion and Collective Behavior
• Gravitaxis of asymmetric self-propelled colloidal particles
• Nonequilibrium Physics in Biology
• Non-equilibrium mechanics and dynamics of motor activated gels
• The physics of active polymers and filaments
• Small activity differences drive phase separation in active-passive polymer mixtures
• Unusual swelling of a polymer in a bacterial bath
• Activity induced collapse and re-expansion of rigid polymers
• Structure and dynamics of a self-propelled semiflexible filament
• Active polymer rings: activity-induced collapse and dynamical arrest
• Conformation and dynamics of a self-avoiding active flexible polymer
• Active Brownian filaments with hydrodynamic interactions: conformations and dynamics
• Natural selection in the colloid world: Active chiral spirals
• Effects of inertia on conformation and dynamics of tangentially-driven active filaments
• Dynamics of Active Polar Ring Polymers

Cited by in corpus (10)

• Effects of inertia on conformation and dynamics of tangentially-driven active filaments
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• Density and inertia effects on two-dimensional active semiflexible filament suspensions
• Active Polymer Behavior in Two Dimensions: A Comparative Analysis of Tangential and Push-Pull Models
• Transport of molecules via polymerization in chemical gradients
• Tangentially Active Polymers in Cylindrical Channels
• Activity-enhanced shear thinning of flexible linear polar polymers
• Folding-unfolding transition of active polymer on the reconfiguration of bidirectional tangential active force
• Spiral folding of a flexible chain of chiral active particles
• Two-dimensional active polar semiflexible polymer under shear flow