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Soliton ratchets.

Mario Salerno1, Niurka R Quintero

  • 1Dipartimento di Fisica "E.R. Caianiello" and Istituto Nazionale di Fisica della Materia (INFM), Universitá di Salerno, I-84081 Baronissi, Salerno, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 28, 2002
PubMed
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This study reveals an asymmetric internal mode on soliton profiles that, when phase-locked with an external force, drives effective soliton transport. This mechanism operates with or without noise in generic soliton systems.

Area of Science:

  • Nonlinear dynamics
  • Condensed matter physics
  • Soliton physics

Background:

  • Soliton transport mechanisms are crucial for understanding nonlinear systems.
  • The role of internal modes and noise in soliton ratchets requires further elucidation.

Purpose of the Study:

  • To investigate the underlying mechanism of soliton ratchets.
  • To explore the influence of noise on soliton transport.
  • To identify conditions for achieving effective soliton transport.

Main Methods:

  • Theoretical investigation of soliton dynamics.
  • Analysis of an asymmetric internal mode coupled to translational motion.
  • Utilizing a generalized double sine-Gordon equation as a working model.

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Main Results:

  • Demonstrated the existence of an asymmetric internal mode on the soliton profile.
  • Showed coupling between the internal mode and soliton translational mode via damping.
  • Identified phase-locking between the internal mode and external force as key for effective transport.

Conclusions:

  • The soliton ratchet mechanism is driven by an asymmetric internal mode.
  • Effective soliton transport is achieved through phase-locking with an external force.
  • The findings are applicable to generic soliton systems, with or without noise.