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Tangentially driven active polar linear polymers-An analytical study.

Christian A Philipps1, Gerhard Gompper1, Roland G Winkler1

  • 1Theoretical Physics of Living Matter, Institute of Biological Information Processing and Institute for Advanced Simulation, Forschungszentrum Jülich and JARA, D-52425 Jülich, Germany.

The Journal of Chemical Physics
|November 22, 2022
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Summary
This summary is machine-generated.

Active polar linear polymers (APLPs) exhibit unchanged conformations but altered dynamics due to activity. Propulsion introduces unique ballistic and diffusive regimes absent in passive polymers.

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Area of Science:

  • Polymer Physics
  • Soft Matter Physics
  • Statistical Mechanics

Background:

  • Understanding the behavior of active polymers is crucial for fields like biophysics and materials science.
  • Active polymers, which self-propel, exhibit complex dynamics distinct from passive polymers.
  • Linear polymer models provide a foundational framework for studying active matter systems.

Purpose of the Study:

  • To analytically investigate the conformational and dynamical properties of isolated flexible active polar linear polymers (APLPs).
  • To elucidate the impact of tangential active forces on polymer dynamics and explore emergent dynamic regimes.
  • To differentiate the behavior of APLPs from passive polymers and other active polymer models.

Main Methods:

  • Modeling APLPs as Gaussian bead-spring linear chains with tangential active forces.
  • Employing both discrete and continuous representations for the polymer model.
  • Solving the resulting linear non-Hermitian equations of motion using eigenfunction expansion with a biorthogonal basis set.

Main Results:

  • Polymer conformations were found to be independent of activity.
  • Tangential propulsion significantly altered polymer dynamics, introducing active ballistic and enhanced diffusive regimes.
  • Mode coupling, particularly with the translational mode, strongly influenced polymer dynamics.

Conclusions:

  • Active polar linear polymers display unique dynamic behaviors not observed in passive systems.
  • The internal dynamics, not just center-of-mass motion, govern the mean-square displacement in APLPs.
  • The propulsion mechanism fundamentally distinguishes APLP dynamics from other active polymer types.