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The Kompaneets theory of photon kinetic evolution due to the Compton effect is extended to the case of the Vlasov plasma wave oscillations. Taking into account Zel'dovich-Levich's approximation we study interaction of accumulating photons…

Chaotic Dynamics · Physics 2012-08-20 Galina Erochenkova , Cristel Chandre

An isotropic electromagnetic field in a plasma of thermalized electrons undergoes changes in energy as a result of Compton scattering and an Einstein-Hopf drag force on the electrons, eventually approaching a Bose-Einstein photon…

High Energy Physics - Phenomenology · Physics 2021-10-04 Peter W. Milonni

We extend de concept of Compton scattering to the case of plasmons. This concept was originally applied to electrons in vacuum. Here, we consider electrons in a plasma, and study the scattering properties of photon-plasmon interactions. We…

Plasma Physics · Physics 2023-10-18 José Tito Mendonça , Fernando Haas

As an important subject in non-equilibrium Statistical Mechanics, we study in this thesis the relaxation to equilibrium of a photon gas in contact with an non-relativistic and non-degenerate electron bath. Photons and electrons interact via…

Statistical Mechanics · Physics 2021-07-19 Guilherme Eduardo Freire Oliveira

Induced Compton scattering (ICS) is an interaction between intense electro-magnetic radiations and plasmas, where ICS transfers the energy from photons to plasmas. Although ICS is important for laser plasma interactions in laboratory…

High Energy Astrophysical Phenomena · Physics 2015-07-01 Shuta J. Tanaka , Katsuaki Asano , Toshio Terasawa

The relaxation of a photon bath to thermal equilibrium via Compton scattering with electrons is described in the Kompaneets equation (1956). The equation is mostly known from studies of astrophysical plasmas, for its convergence to the…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-18 Guilherme Eduardo Freire Oliveira , Christian Maes , Kasper Meerts

We calculate the first relativistic corrections to the Kompaneets equation for the evolution of the photon frequency distribution brought about by Compton scattering. The Lorentz invariant Boltzmann equation for electron-photon scattering…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Lowell S. Brown , Dean L. Preston

We show that Kompaneetz equation describing photon diffusion in an environment of an electron gas, when linearized around its equilibrium distribution, coincides with the relativistic diffusion discussed in recent publications. The model of…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Z. Haba

We introduce a stochastic multi-photon dynamics on reciprocal space. Assuming isotropy, we derive the diffusion limit for a tagged photon to be a nonlinear Markov process on frequency. The nonlinearity stems from the stimulated emission. In…

Statistical Mechanics · Physics 2022-08-18 Guilherme Eduardo Freire Oliveira , Christian Maes , Kasper Meerts

Laser pulses traveling through a plasma can feature group velocities significantly differing from the speed of light in vacuum. This modifies the well-known Volkov states of an electron inside a strong laser-field from the vacuum case and…

Plasma Physics · Physics 2019-04-03 F. Mackenroth , N. Kumar , N. Neitz , C. H. Keitel

The Kompaneets equation governs dynamics of the photon energy spectrum in certain high temperature (or low density) plasmas. We prove several results concerning the long-time convergence of solutions to Bose--Einstein equilibria and the…

Analysis of PDEs · Mathematics 2022-08-26 Joshua Ballew , Gautam Iyer , C. David Levermore , Hailiang Liu , Robert L. Pego

On the viewpoint of corpuscular model an electromagnetic radiation can be regarded as a system composed of photons with different energies and momenta, which provides us a method being different from the Maxwell wave theory to describe the…

Plasma Physics · Physics 2013-02-27 Zhigang Bu , Yuee Luo , Hehe Li , Wenbo Chen , Peiyong Ji

We present a generalization of Vlasov-Maxwell kinetic theory that accounts for intense electromagnetic fields. A strongly-radiating, possibly optically-thick plasma is decomposed into fragments, each comprising a charged particle together…

Plasma Physics · Physics 2022-11-28 J. W. Burby , P. J. Morrison

We present a new concept of nonlinear dynamics of incoherent superstrong radiation in plasmas. Recently we have disclosed a novel mechanism of the establishment of equilibrium between a photon and a dense photon bunch through the exchange…

Astrophysics · Physics 2010-06-04 Nodar L. Tsintsadze , Levan N. Tsintsadze

A Boltzmann equation, used to describe the evolution of the density function of a gas of photons interacting by Compton scattering with electrons at low density and non relativistic equilibrium, is considered. A truncation of the very…

Analysis of PDEs · Mathematics 2019-05-22 E. Cortés , M. Escobedo

Traditional textbook explanations of the Compton effect treat the photon electron interaction as a particle collision. This explanation is a pedagogical disaster, implying that sometimes interactions are particle-like whereas quantum…

Physics Education · Physics 2007-05-23 Oscar F. Hernandez

Compton scattering of photons by nonrelativistic particles is thought to play an important role in forming the radiation spectrum of many astrophysical systems. Here we derive the time-dependent photon kinetic equation that describes…

Astrophysics · Physics 2009-10-30 Dimitrios Psaltis , Frederick K. Lamb

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…

Mathematical Physics · Physics 2015-06-11 A. Noble , J. Gratus , D. A. Burton , D. A. Jaroszynski

In quantum electrodynamics, photon-photon scattering can be the result of the exchange of virtual electron-positron pairs. This gives rise to a non-trivial dispersion relation for a single photon moving on a background of electromagnetic…

High Energy Physics - Phenomenology · Physics 2008-11-26 Mattias Marklund , Gert Brodin , Lennart Stenflo , Padma K. Shukla

The relativistic kinetic equations describing time evolution and space dependence of the density matrices of polarized photons and electrons interacting via Compton scattering are deduced from the quantum Liouville equation. The induced…

Astrophysics · Physics 2009-11-07 Dmitrij I. Nagirner , Juri Poutanen
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