A kinetic model of radiating electrons

Journal Article · Mon Apr 15 00:00:00 EDT 2013 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4798796· OSTI ID:22162873

Noble, A.; Jaroszynski, D. A. ^[1]; Burton, D. A.; Gratus, J. ^[2]

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1. SUPA and University of Strathclyde, Glasgow G4 0NG (United Kingdom)
2. Department of Physics, Lancaster University, Lancaster LA1 4YB, United Kingdom and The Cockcroft Institute of Accelerator Science and Technology, Daresbury Science and Innovation Campus, Daresbury, Warrington WA4 4AD (United Kingdom)

A kinetic theory is developed to describe radiating electrons whose motion is governed by the Lorentz-Dirac equation. This gives rise to a generalized Vlasov equation coupled to an equation for the evolution of the physical submanifold of phase space. The pathological solutions of the 1-particle theory may be removed by expanding the latter equation in powers of {tau}:=q{sup 2}/6{pi}m. The radiation-induced change in entropy is explored and its physical origin is discussed. As a simple demonstration of the theory, the radiative damping rate of longitudinal plasma waves is calculated.

• OSTI ID: 22162873
• Journal Information: Journal of Mathematical Physics, Vol. 54, Issue 4; Other Information: (c) 2013 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIRAC EQUATION
ENTROPY
EVOLUTION
LORENTZ FORCE
MATHEMATICAL SOLUTIONS
PARTICLES
PHASE SPACE
PLASMA WAVES
SIMULATION