Abstract
The Vlasov-Poisson system of equations in the Fourier-transformed velocity space is studied. At first some results of the linear theory are reformulated: in the new representation the Van Kampen eigenmodes and their adjoint are found to be ordinary functions with convenient piece-wise continuity properties. A transparent derivation is given of the free-streaming temporal echo in terms of the kinematics of wave packets in the Fourier-transformed velocity space. This analysis is further extended to include Coulomb interactions which allows to establish a connection between the echo theory, the second order oscillations of Best and the phenomenon of linear sidebands. The calculation of the time evolution of the global second order electric field is performed in detail in the case of a Maxwellian equilibrium distribution function. It is concluded that the phenomenon of linear sidebands may be properly explained in terms of the intrinsic features of the equilibrium distribution function. (author) 5 figs., 32 refs.
Sedlacek, Z;
[1]
Nocera, L
[2]
- Ceskoslovenska Akademie Ved, Prague (Czechoslovakia). Ustav Fyziky Plazmatu
- Consiglio Nazionale delle Ricerche, Pisa (Italy). Lab. di Fisica Atomica e Moleculare
Citation Formats
Sedlacek, Z, and Nocera, L.
Second order oscillations of a Vlasov-Poisson plasma in the Fourier transformed space.
Serbia and Montenegro: N. p.,
1991.
Web.
Sedlacek, Z, & Nocera, L.
Second order oscillations of a Vlasov-Poisson plasma in the Fourier transformed space.
Serbia and Montenegro.
Sedlacek, Z, and Nocera, L.
1991.
"Second order oscillations of a Vlasov-Poisson plasma in the Fourier transformed space."
Serbia and Montenegro.
@misc{etde_10157571,
title = {Second order oscillations of a Vlasov-Poisson plasma in the Fourier transformed space}
author = {Sedlacek, Z, and Nocera, L}
abstractNote = {The Vlasov-Poisson system of equations in the Fourier-transformed velocity space is studied. At first some results of the linear theory are reformulated: in the new representation the Van Kampen eigenmodes and their adjoint are found to be ordinary functions with convenient piece-wise continuity properties. A transparent derivation is given of the free-streaming temporal echo in terms of the kinematics of wave packets in the Fourier-transformed velocity space. This analysis is further extended to include Coulomb interactions which allows to establish a connection between the echo theory, the second order oscillations of Best and the phenomenon of linear sidebands. The calculation of the time evolution of the global second order electric field is performed in detail in the case of a Maxwellian equilibrium distribution function. It is concluded that the phenomenon of linear sidebands may be properly explained in terms of the intrinsic features of the equilibrium distribution function. (author) 5 figs., 32 refs.}
place = {Serbia and Montenegro}
year = {1991}
month = {May}
}
title = {Second order oscillations of a Vlasov-Poisson plasma in the Fourier transformed space}
author = {Sedlacek, Z, and Nocera, L}
abstractNote = {The Vlasov-Poisson system of equations in the Fourier-transformed velocity space is studied. At first some results of the linear theory are reformulated: in the new representation the Van Kampen eigenmodes and their adjoint are found to be ordinary functions with convenient piece-wise continuity properties. A transparent derivation is given of the free-streaming temporal echo in terms of the kinematics of wave packets in the Fourier-transformed velocity space. This analysis is further extended to include Coulomb interactions which allows to establish a connection between the echo theory, the second order oscillations of Best and the phenomenon of linear sidebands. The calculation of the time evolution of the global second order electric field is performed in detail in the case of a Maxwellian equilibrium distribution function. It is concluded that the phenomenon of linear sidebands may be properly explained in terms of the intrinsic features of the equilibrium distribution function. (author) 5 figs., 32 refs.}
place = {Serbia and Montenegro}
year = {1991}
month = {May}
}