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Irreversible dynamics of a continuum driven by active matter.

John C Neu1, Stephen W Teitsworth2

  • 1Department of Mathematics, <a href="https://ror.org/01an7q238">University of California at Berkeley</a>, Berkeley, California 94720-3840, USA.

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|December 18, 2024
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Summary
This summary is machine-generated.

Active matter drives elastic filaments, causing irreversible behavior. A new fluctuation-dissipation relation reveals spatial correlations and energy distribution within these active systems.

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Area of Science:

  • Physics
  • Soft Matter Physics
  • Statistical Mechanics

Background:

  • Active matter systems exhibit inherent irreversibility.
  • Understanding fluctuations in elastic filaments is crucial for soft matter physics.
  • Existing models often overlook the spatial distribution of energy dissipation and work.

Purpose of the Study:

  • To investigate the fluctuational behavior of overdamped elastic filaments driven by active matter.
  • To develop a generalized fluctuation-dissipation relation accounting for active forces.
  • To analyze the spatial structure of dissipation and fluctuational work.

Main Methods:

  • Translating statistics of discrete normal modes to position representation.
  • Developing a mapping from force statistics to filament statistics.
  • Deriving a generalized fluctuation-dissipation relation.
  • Illustrating the theory with a tensioned string model.

Main Results:

  • The generalized fluctuation-dissipation relation predicts the stochastic area tensor and irreversibility field.
  • Active forces induce spatial correlations of displacement along the filament.
  • The irreversibility field quantifies the distribution of work and dissipation.

Conclusions:

  • The study provides a framework for understanding irreversibility in active elastic filaments.
  • The developed theory offers quantitative insights into spatial energy dynamics.
  • This work advances the understanding of active matter-driven soft materials.