### 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 language | English |
---|---|

Article number | 066606 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 83 |

Issue number | 6 |

DOIs | |

Publication status | Published - 22 Jun 2011 |

Externally published | Yes |

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### ASJC Scopus subject areas

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

### Cite this

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*,

*83*(6), [066606]. https://doi.org/10.1103/PhysRevE.83.066606

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

Research output: Contribution to journal › Article

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*, vol. 83, no. 6, 066606. https://doi.org/10.1103/PhysRevE.83.066606

}

TY - JOUR

T1 - Asymptotics of physical solutions to the Lorentz-Dirac equation for planar motion in constant electromagnetic fields

AU - Kazinski, P. O.

AU - Shipulya, M. A.

PY - 2011/6/22

Y1 - 2011/6/22

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=79961087133&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79961087133&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.83.066606

DO - 10.1103/PhysRevE.83.066606

M3 - Article

VL - 83

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

IS - 6

M1 - 066606

ER -