Lagrangian description and entropy of magnetic Vlasov systems

In this paper we study the relation between the collective magnetic entropy of the Vlasov systems, introduced previously on a phenomenological basis, and the Lagrangian description of the motion of a system of independent particles in a magnetic field, subject to a constraint that introduces collect...

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Bibliographic Details
Published inJournal of plasma physics Vol. 48; no. 2; pp. 309 - 323
Main Author Minardi, E.
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.10.1992
Subjects
Exact sciences and technology
Magnetic confinement and equilibrium
Physics
Physics of gases, plasmas and electric discharges
Physics of plasmas and electric discharges
Lagrangian model
Plasma equilibrium
Theoretical study
Collective process
Entropy
Vlasov equation
Magnetic field
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Summary:In this paper we study the relation between the collective magnetic entropy of the Vlasov systems, introduced previously on a phenomenological basis, and the Lagrangian description of the motion of a system of independent particles in a magnetic field, subject to a constraint that introduces collective behaviour. The main result is the equivalence of the first variations of the action integral and of the collective entropy with respect to a certain family of variations of the Lagrangian co-ordinates corresponding to reversible variations of the collective system considered as isolated. In the case of irreversible transformations the collective entropy is not determined dynamically, but acquires its meaning through the procedure of maximum probability assignment according to the standard formalism of information theory, under the requirement of macroscopic reproducibility.
Bibliography:ArticleID:01656
PII:S0022377800016561
istex:464BD38DF5459B8DCDA492595C40AF25F42EB289
ark:/67375/6GQ-9TK2WGQJ-W
ISSN:0022-3778
1469-7807
DOI:10.1017/S0022377800016561