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Related Experiment Videos

Driven kinks in discrete chains: phonon damping.

C Cattuto1, G Costantini, T Guidi

  • 1Dipartimento di Fisica, Università di Perugia, I-06123 Perugia, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 20, 2001
PubMed
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Phonon radiation numerically dampens relativistic soliton motion. Soliton mobility shows discontinuous dependence on driving force, with thresholds for phonon and breather radiation, and a minimum speed to avoid trapping.

Area of Science:

  • Nonlinear dynamics
  • Condensed matter physics
  • Soliton theory

Background:

  • Solitons are particle-like waves in nonlinear systems.
  • Their motion can be affected by radiation and system parameters like discreteness.
  • Understanding these effects is crucial for controlling soliton behavior.

Purpose of the Study:

  • To investigate the damping effect of phonon radiation on relativistic solitons.
  • To analyze the dependence of soliton mobility on driving force and discreteness.
  • To identify conditions under which solitons may become trapped.

Main Methods:

  • Numerical simulations of a driven phi(4) soliton model.
  • Analysis of soliton velocity and mobility under varying discreteness and driving force.

Related Experiment Videos

  • Examination of radiation emission (phonons and breathers).

    • Main Results:

    • Phonon radiation significantly damps relativistic soliton motion, even with weak discreteness.
    • Soliton mobility exhibits a discontinuous dependence on the driving force at higher discreteness.
    • Thresholds for phonon and breather radiation influence soliton mobility.
    • A minimum speed exists for frictionless solitons to avoid getting trapped.

    Conclusions:

    • Phonon radiation is a key factor in dissipating energy from driven solitons.
    • Discreteness introduces complex, non-monotonic behaviors in soliton mobility.
    • Soliton trapping is a potential outcome of low-speed motion, influenced by system parameters.