The Polarization Response Function and the Dielectric Permittivity of a Plasma

We give a simple direct derivation of the polarization response function h for linear electrostatic excitations of a plasma (without magnetic field) considering the effect of a percussion on the electrons. The physical meaning of the procedure is discussed, thus bringing into light basic facts of th...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: Gratton, Fausto Tulio Livio
Publicado: 1984
Materias:
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00933813_v12_n3_p223_Gnavi
http://hdl.handle.net/20.500.12110/paper_00933813_v12_n3_p223_Gnavi
Aporte de:
id paper:paper_00933813_v12_n3_p223_Gnavi
record_format dspace
spelling paper:paper_00933813_v12_n3_p223_Gnavi2023-06-08T15:08:30Z The Polarization Response Function and the Dielectric Permittivity of a Plasma Gratton, Fausto Tulio Livio DIELECTRIC PERMITTIVITY POLARIZATION RESPONSE FUNCTIONS PLASMAS We give a simple direct derivation of the polarization response function h for linear electrostatic excitations of a plasma (without magnetic field) considering the effect of a percussion on the electrons. The physical meaning of the procedure is discussed, thus bringing into light basic facts of the plasma dielectric behavior. The result h = ω2pfo(x/t) (where fo is the electron distribution function in velocity space and ωp the plasma frequency) is obtained without passing through the Vlasov-Poisson equations as in the standard theory. We show that the equivalence between the present method and the classic Landau analysis rests on properties of the Fourier transform applied on velocity space. © 1984 IEEE. Fil:Gratton, F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1984 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00933813_v12_n3_p223_Gnavi http://hdl.handle.net/20.500.12110/paper_00933813_v12_n3_p223_Gnavi
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic DIELECTRIC PERMITTIVITY
POLARIZATION
RESPONSE FUNCTIONS
PLASMAS
spellingShingle DIELECTRIC PERMITTIVITY
POLARIZATION
RESPONSE FUNCTIONS
PLASMAS
Gratton, Fausto Tulio Livio
The Polarization Response Function and the Dielectric Permittivity of a Plasma
topic_facet DIELECTRIC PERMITTIVITY
POLARIZATION
RESPONSE FUNCTIONS
PLASMAS
description We give a simple direct derivation of the polarization response function h for linear electrostatic excitations of a plasma (without magnetic field) considering the effect of a percussion on the electrons. The physical meaning of the procedure is discussed, thus bringing into light basic facts of the plasma dielectric behavior. The result h = ω2pfo(x/t) (where fo is the electron distribution function in velocity space and ωp the plasma frequency) is obtained without passing through the Vlasov-Poisson equations as in the standard theory. We show that the equivalence between the present method and the classic Landau analysis rests on properties of the Fourier transform applied on velocity space. © 1984 IEEE.
author Gratton, Fausto Tulio Livio
author_facet Gratton, Fausto Tulio Livio
author_sort Gratton, Fausto Tulio Livio
title The Polarization Response Function and the Dielectric Permittivity of a Plasma
title_short The Polarization Response Function and the Dielectric Permittivity of a Plasma
title_full The Polarization Response Function and the Dielectric Permittivity of a Plasma
title_fullStr The Polarization Response Function and the Dielectric Permittivity of a Plasma
title_full_unstemmed The Polarization Response Function and the Dielectric Permittivity of a Plasma
title_sort polarization response function and the dielectric permittivity of a plasma
publishDate 1984
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00933813_v12_n3_p223_Gnavi
http://hdl.handle.net/20.500.12110/paper_00933813_v12_n3_p223_Gnavi
work_keys_str_mv AT grattonfaustotuliolivio thepolarizationresponsefunctionandthedielectricpermittivityofaplasma
AT grattonfaustotuliolivio polarizationresponsefunctionandthedielectricpermittivityofaplasma
_version_ 1768541838407368704