# Lorentz-Abraham-Dirac versus Landau-Lifshitz radiation friction force in the ultrarelativistic electron interaction with electromagnetic wave (exact solutions)

## Abstract

When the parameters of electron-extreme power laser interaction enter the regime of dominated radiation reaction, the electron dynamics changes qualitatively. The adequate theoretical description of this regime becomes crucially important with the use of the radiation friction force either in the Lorentz-Abraham-Dirac form, which possesses unphysical runaway solutions, or in the Landau-Lifshitz form, which is a perturbation valid for relatively low electromagnetic wave amplitude. The goal of the present paper is to find the limits of the Landau-Lifshitz radiation force applicability in terms of the electromagnetic wave amplitude and frequency. For this, a class of the exact solutions to the nonlinear problems of charged particle motion in the time-varying electromagnetic field is used.

- Authors:

- Kansai Photon Science Institute, JAEA, Kizugawa, Kyoto 619-0215 (Japan)
- University of California, Berkeley, California 94720 (United States)

- Publication Date:

- OSTI Identifier:
- 21612325

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print); Journal Volume: 84; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevE.84.056605; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICAL METHODS AND COMPUTING; AMPLITUDES; CHARGED PARTICLES; DISTURBANCES; ELECTROMAGNETIC FIELDS; ELECTROMAGNETIC RADIATION; ELECTRON-ELECTRON INTERACTIONS; ELECTRONS; EXACT SOLUTIONS; FRICTION; LASERS; NONLINEAR PROBLEMS; PERTURBATION THEORY; RELATIVISTIC RANGE; ELEMENTARY PARTICLES; ENERGY RANGE; FERMIONS; INTERACTIONS; LEPTON-LEPTON INTERACTIONS; LEPTONS; MATHEMATICAL SOLUTIONS; PARTICLE INTERACTIONS; RADIATIONS

### Citation Formats

```
Bulanov, Sergei V., Esirkepov, Timur Zh., Kando, Masaki, Koga, James K., and Bulanov, Stepan S..
```*Lorentz-Abraham-Dirac versus Landau-Lifshitz radiation friction force in the ultrarelativistic electron interaction with electromagnetic wave (exact solutions)*. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVE.84.056605.

```
Bulanov, Sergei V., Esirkepov, Timur Zh., Kando, Masaki, Koga, James K., & Bulanov, Stepan S..
```*Lorentz-Abraham-Dirac versus Landau-Lifshitz radiation friction force in the ultrarelativistic electron interaction with electromagnetic wave (exact solutions)*. United States. doi:10.1103/PHYSREVE.84.056605.

```
Bulanov, Sergei V., Esirkepov, Timur Zh., Kando, Masaki, Koga, James K., and Bulanov, Stepan S.. Tue .
"Lorentz-Abraham-Dirac versus Landau-Lifshitz radiation friction force in the ultrarelativistic electron interaction with electromagnetic wave (exact solutions)". United States. doi:10.1103/PHYSREVE.84.056605.
```

```
@article{osti_21612325,
```

title = {Lorentz-Abraham-Dirac versus Landau-Lifshitz radiation friction force in the ultrarelativistic electron interaction with electromagnetic wave (exact solutions)},

author = {Bulanov, Sergei V. and Esirkepov, Timur Zh. and Kando, Masaki and Koga, James K. and Bulanov, Stepan S.},

abstractNote = {When the parameters of electron-extreme power laser interaction enter the regime of dominated radiation reaction, the electron dynamics changes qualitatively. The adequate theoretical description of this regime becomes crucially important with the use of the radiation friction force either in the Lorentz-Abraham-Dirac form, which possesses unphysical runaway solutions, or in the Landau-Lifshitz form, which is a perturbation valid for relatively low electromagnetic wave amplitude. The goal of the present paper is to find the limits of the Landau-Lifshitz radiation force applicability in terms of the electromagnetic wave amplitude and frequency. For this, a class of the exact solutions to the nonlinear problems of charged particle motion in the time-varying electromagnetic field is used.},

doi = {10.1103/PHYSREVE.84.056605},

journal = {Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)},

number = 5,

volume = 84,

place = {United States},

year = {Tue Nov 15 00:00:00 EST 2011},

month = {Tue Nov 15 00:00:00 EST 2011}

}