### Abstract

A kinetic theory has been developed, based on the exact ALD equation. Although the

unphysical solutions of the ALD equation obstruct the reduction of this theory to the

usual Vlasov-Maxwell system in the appropriate limit, its moments give rise to a

fluid theory which does have the correct limiting behaviour. As a simple illustration of the theory, the radiative damping of Langmuir waves gives rise to a modified dispersion relation. A new unphysical instability is found, originating from the runaway solutions of

the ALD equation, which must be rejected, leaving the physical solutions which display

the correct slow damping.

Original language | English |
---|---|

Title of host publication | Central Laser Facility Annual Report 2010-2011 |

Editors | Brian Wyborn |

Pages | 28 |

Number of pages | 1 |

Publication status | Published - 2011 |

### Fingerprint

### Keywords

- radiation reaction
- lasers

### Cite this

*Central Laser Facility Annual Report 2010-2011*(pp. 28)

}

*Central Laser Facility Annual Report 2010-2011.*pp. 28.

**Kinetic theory of radiation reaction.** / Noble, Adam; Jaroszynski, Dino; Gratus, Jonathan; Burton, David.

Research output: Chapter in Book/Report/Conference proceeding › Other chapter contribution

TY - CHAP

T1 - Kinetic theory of radiation reaction

AU - Noble, Adam

AU - Jaroszynski, Dino

AU - Gratus, Jonathan

AU - Burton, David

PY - 2011

Y1 - 2011

N2 - The development of ultra-high intensity laser facilities requires a detailed understanding of how accelerating charged particles interact with their own radiation fields. The Abraham-Lorentz-Dirac (ALD) equation - the standard description of radiation reaction - is beset with difficulties, but when handled with care can provide useful information.A kinetic theory has been developed, based on the exact ALD equation. Although theunphysical solutions of the ALD equation obstruct the reduction of this theory to theusual Vlasov-Maxwell system in the appropriate limit, its moments give rise to afluid theory which does have the correct limiting behaviour. As a simple illustration of the theory, the radiative damping of Langmuir waves gives rise to a modified dispersion relation. A new unphysical instability is found, originating from the runaway solutions ofthe ALD equation, which must be rejected, leaving the physical solutions which displaythe correct slow damping.

AB - The development of ultra-high intensity laser facilities requires a detailed understanding of how accelerating charged particles interact with their own radiation fields. The Abraham-Lorentz-Dirac (ALD) equation - the standard description of radiation reaction - is beset with difficulties, but when handled with care can provide useful information.A kinetic theory has been developed, based on the exact ALD equation. Although theunphysical solutions of the ALD equation obstruct the reduction of this theory to theusual Vlasov-Maxwell system in the appropriate limit, its moments give rise to afluid theory which does have the correct limiting behaviour. As a simple illustration of the theory, the radiative damping of Langmuir waves gives rise to a modified dispersion relation. A new unphysical instability is found, originating from the runaway solutions ofthe ALD equation, which must be rejected, leaving the physical solutions which displaythe correct slow damping.

KW - radiation reaction

KW - lasers

UR - http://www.clf.rl.ac.uk/resources/PDF/ar10-11_frontcover_overview_foreword_ei.pdf

UR - http://www.clf.rl.ac.uk/resources/PDF/ar10-11_hpl_section.pdf

M3 - Other chapter contribution

SN - 978-0-9556616-7-9

SP - 28

BT - Central Laser Facility Annual Report 2010-2011

A2 - Wyborn, Brian

ER -