In:
Journal of Plasma Physics, Cambridge University Press (CUP), Vol. 59, No. 4 ( 1998-06), p. 611-618
Abstract:
The well-known van Kampen–Case treatment of the Vlasov equation
leads to a spectrum on the real axis. In this paper we show that, by going to a ‘rigged’ Hilbert space, we can derive a spectral representation that is complex
and breaks time symmetry. This leads to a semigroup description in which the decay rates
due to the Landau damping appear explicitly in the spectrum. Moreover, we can then
define an entropy. In this way, the relation between Landau damping and irreversibility is made explicit. The analogy with the well-known Friedrichs model is stressed.
Type of Medium:
Online Resource
ISSN:
0022-3778
,
1469-7807
DOI:
10.1017/S002237789800662X
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
1998
detail.hit.zdb_id:
2004297-8
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