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...
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todo:paper_00933813_v12_n3_p223_Gnavi2023-10-03T14:55:25Z The Polarization Response Function and the Dielectric Permittivity of a Plasma Gnavi, G. Gratton, F. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Gnavi, G. Gratton, F. 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. |
format |
JOUR |
author |
Gnavi, G. Gratton, F. |
author_facet |
Gnavi, G. Gratton, F. |
author_sort |
Gnavi, G. |
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 |
url |
http://hdl.handle.net/20.500.12110/paper_00933813_v12_n3_p223_Gnavi |
work_keys_str_mv |
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