The stochastic radiative transfer equation: quantum damping, Kirchoff's law and NLTE

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A method is presented based on the theory of quantum damping, for deriving a self consistent but approximate form of the quantum transport for photons interacting with fully ionized electron plasma. Specifically, we propose in this paper a technique of approximately including the effects of background plasma on a photon distribution function without directly solving any kinetic equations for the plasma itself. The result is a quantum Langevin equation for the photon number operator; the quantum radiative transfer equation. A dissipation term appears which is the imaginary part of the dielectric function for an electron gas with photon mediated electron-electron ... continued below

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Graziani, F R January 24, 2005.

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A method is presented based on the theory of quantum damping, for deriving a self consistent but approximate form of the quantum transport for photons interacting with fully ionized electron plasma. Specifically, we propose in this paper a technique of approximately including the effects of background plasma on a photon distribution function without directly solving any kinetic equations for the plasma itself. The result is a quantum Langevin equation for the photon number operator; the quantum radiative transfer equation. A dissipation term appears which is the imaginary part of the dielectric function for an electron gas with photon mediated electron-electron interactions due to absorption and re-emission. It depends only on the initial state of the plasma. A quantum noise operator also appears as a result of spontaneous emission of photons from the electron plasma. The thermal expectation value of this noise operator yields the emissivity which is exactly of the form of the Kirchoff-Planck relation. This non-zero thermal expectation value is a direct consequence of a fluctuation-dissipation relation (FDR).

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PDF-file: 25 pages; size: 0.2 Mbytes

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  • Presented at: Radiative Properties of Hot Dense Matter, La Holla, CA, United States, Nov 01 - Nov 05, 2004

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  • Report No.: UCRL-PROC-209176
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 917495
  • Archival Resource Key: ark:/67531/metadc891436

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  • January 24, 2005

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  • Sept. 22, 2016, 2:13 a.m.

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  • Dec. 7, 2016, 10:32 p.m.

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Graziani, F R. The stochastic radiative transfer equation: quantum damping, Kirchoff's law and NLTE, article, January 24, 2005; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc891436/: accessed October 17, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.