Asymptotics of physical solutions to the Lorentz-Dirac equation for planar motion in constant electromagnetic fields

P. O. Kazinski, M. A. Shipulya

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We present a study of planar physical solutions to the Lorentz-Dirac equation in a constant electromagnetic field. In this case, we reduced the Lorentz-Dirac equation to one second-order differential equation. We obtained the asymptotics of physical solutions to this equation at large proper times. It turns out that, in a crossed constant uniform electromagnetic field with vanishing invariants, a charged particle enters a universal regime at large times. We found that the ratios of momentum components that tend to constants are determined only by the external field. This effect is essentially due to a radiation reaction. There is no such effect for the Lorentz equation in this field.

Original languageEnglish
Article number066606
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume83
Issue number6
DOIs
Publication statusPublished - 22 Jun 2011
Externally publishedYes

Fingerprint

Dirac Equation
Dirac equation
Electromagnetic Fields
electromagnetic fields
Motion
Second order differential equation
External Field
charged particles
differential equations
Momentum
Radiation
Tend
momentum
Invariant
radiation

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

Asymptotics of physical solutions to the Lorentz-Dirac equation for planar motion in constant electromagnetic fields. / Kazinski, P. O.; Shipulya, M. A.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 83, No. 6, 066606, 22.06.2011.

Research output: Contribution to journalArticle

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