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Supersonic kinks and solitons in active solids.

N Gorbushin1, L Truskinovsky1

  • 1Laboratoire de Physique et Mécanique des Milieux Hétérogénes (PMMH UMR 7636) CNRS, ESPCI Paris, PSL Research University, 10 rue Vauquelin, 75005 Paris, France.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|November 26, 2019
PubMed
Summary

Nonlinear waves in active matter can be driven internally by a topological kink moving at supersonic speeds. These anti-dissipative waves are stable and can form soliton-like bundles, unlike passive systems.

Keywords:
active processeschain modelmetamaterialstransition waves

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Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Active Matter

Background:

  • Nonlinear waves in passive systems are often dissipative.
  • Active matter introduces internal driving forces.
  • Understanding wave propagation in structured media is crucial.

Purpose of the Study:

  • To demonstrate internal driving of nonlinear waves in active matter.
  • To model a topological kink moving at supersonic speeds.
  • To investigate anti-dissipative wave phenomena.

Main Methods:

  • Developed a prototypical model of a bi-stable mass-spring chain.
  • Incorporated active stress generation into the model.
  • Utilized numerical experiments and quasi-continuum approximation.

Main Results:

  • Achieved steady propagation of nonlinear waves driven internally.
  • Identified purely anti-dissipative supersonic kink solutions.
  • Observed stable kink-type solutions and kink-anti-kink bundles.
  • Validated findings with a quasi-continuum approximation.

Conclusions:

  • Supersonic topological kinks in active matter can propagate without dissipation.
  • Active stress enables self-driven, stable nonlinear wave phenomena.
  • The model captures key features of active wave dynamics.