Stability of Vlasov equilibria. Part 2. One non-ignorable co-ordinate
1982 ◽
Vol 27
(1)
◽
pp. 25-35
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Keyword(s):
The solution of the linearized Vlasov equation is given for an arbitrary equilibrium Hamiltonian in which there is only one non-ignorable co-ordinate. The solution written in terms of integrals with respect to time which only extend over the bounce period of an equilibrium orbit in its equivalent one-dimensional potential. A closed-form solution and a solution based on a Fourier expansion are given. Explicit formulae are presented for Cartesian and cylindrical co-ordinates.
1999 ◽
Vol 1
(1)
◽
pp. 18
◽
1992 ◽
Vol 33
(11)
◽
pp. 3907-3910
◽
2013 ◽
Vol 48
◽
pp. 46-51
◽
Keyword(s):
1999 ◽
Vol 61
(3)
◽
pp. 303-308
◽
2012 ◽
Vol 28
(3)
◽
pp. 549-556
◽
Keyword(s):
Keyword(s):