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Related Experiment Videos

Nonlinear amplifier and frequency shifter using a tunable periodic drive.

Sergey Savel'ev1, A L Rakhmanov, Franco Nori

  • 1Frontier Research System, The Institute of Physical and Chemical Research (RIKEN), Wako-shi, Saitama, 351-0198, Japan.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 31, 2005
PubMed
Summary

A weak force can amplify or shift the frequency of a signal by interacting with a strong force on a particle. This phenomenon, observed near a threshold drive, enhances mixing harmonics in various physical systems.

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Area of Science:

  • Nonlinear dynamics
  • Statistical physics
  • Condensed matter physics

Background:

  • Overdamped particle dynamics are influenced by superimposed forces.
  • Particle motion can be categorized into regimes near potential minima or away from them.

Purpose of the Study:

  • To investigate the effect of a weak force on the velocity spectrum of an overdamped particle subjected to a strong force.
  • To explore the amplification and frequency shifting of weak signals using this phenomenon.

Main Methods:

  • Analyzing the velocity spectrum of an overdamped particle under combined weak and strong forces.
  • Studying particle dynamics on asymmetric-periodic and double-well potentials near a threshold drive.

Main Results:

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  • The velocity spectrum of the particle is dominated by harmonics of the strong force in distinct dynamical regimes.
  • Near a threshold drive, the weak force significantly amplifies mixing harmonics in the velocity spectrum.
  • This amplification effect allows for the manipulation of weak signals.

Conclusions:

  • The superposition of weak and strong forces offers a mechanism for signal amplification and frequency shifting.
  • The observed phenomenon is applicable to diverse physical systems, including magnetic domain walls, SQUIDs, and particles in ratchet potentials.