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Related Experiment Videos

Radiation damping in real time.

A C Mendes1, F I Takakura

  • 1Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, 22290-180, Rio de Janeiro, Brazil.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
PubMed
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This study explores radiation damping in a charge interacting with its own emitted radiation. We derived classical equations of motion revealing dynamical dissipation via a non-Markovian kernel, despite vanishing static friction.

Area of Science:

  • Classical electrodynamics
  • Non-equilibrium statistical mechanics

Background:

  • Radiation damping is a fundamental phenomenon where a charged particle loses energy by emitting electromagnetic radiation.
  • Understanding the dynamics of a charge interacting with its own radiation is crucial for various fields, including accelerator physics and condensed matter systems.

Purpose of the Study:

  • To investigate the nonequilibrium dynamics of a charge interacting with its own radiation.
  • To derive the real-time equations of motion and the associated Langevin equation in the classical limit.
  • To determine the frequency-dependent coefficient of friction and analyze the nature of dissipation.

Main Methods:

  • Derivation of the real-time equation of motion for a charge.
  • Formulation of the associated Langevin equation in the classical limit.

Related Experiment Videos

  • Analysis of the frequency-dependent coefficient of friction.
  • Main Results:

    • The study successfully derived the classical equations of motion governing a charge interacting with its own radiation.
    • A frequency-dependent coefficient of friction was obtained from the equation of motion.
    • In the lowest order, static friction was found to vanish, but dynamical dissipation was observed, characterized by a non-Markovian dissipative kernel.

    Conclusions:

    • The research provides a classical description of radiation damping, highlighting the emergence of dynamical dissipation.
    • The findings indicate that even without static friction, a system can exhibit energy loss due to radiation interaction.
    • The identified non-Markovian dissipative kernel offers insights into the complex nature of friction in such systems.