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String ratchets: ac driven asymmetric kinks.

G Costantini1, F Marchesoni, M Borromeo

  • 1Istituto Nazionale di Fisica della Materia, Università di Camerino, I-62032 Camerino, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 13, 2002
PubMed
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We simulated damped elastic strings on periodic substrates. The study reveals controllable kink transport, with speed depending on substrate type and damping, offering insights into particle dynamics.

Area of Science:

  • Condensed matter physics
  • Nonlinear dynamics
  • Computational physics

Background:

  • Elastic strings on periodic substrates exhibit complex dynamics.
  • Kink transport is a key phenomenon in various physical systems.
  • Understanding the influence of damping and substrate properties is crucial.

Purpose of the Study:

  • To numerically simulate the time evolution of a damped elastic string with a kink.
  • To investigate kink transport on two types of noiseless periodic substrates: asymmetric and symmetric.
  • To analyze the effect of ac drive and damping on kink dynamics and transport.

Main Methods:

  • Numerical simulation of the time evolution of a damped elastic string.
  • Modeling of one-kink bearing systems on periodic substrates.

Related Experiment Videos

  • Analysis of kink behavior under ac drive in different damping regimes.

    • Main Results:

    • An asymmetric kink subjected to ac drive exhibits steady drift with constant average speed.
    • In the overdamped regime, kink transport results from rectified Brownian motion of a particle with oscillating mass.
    • For intermediate to low damping, kink current shows optimal damping, resonance at internal-mode frequency, and sign reversal with drive parameters.

    Conclusions:

    • The study demonstrates controllable kink transport influenced by substrate asymmetry and damping.
    • Rectification of Brownian motion explains transport in the overdamped regime.
    • Non-monotonic behavior and resonance phenomena in kink current highlight the importance of finite size effects and internal modes.