http://www.cnr.it/ontology/cnr/individuo/prodotto/ID245877
Lagrangian description and entropy of magnetic Vlasov systems (Articolo in rivista)
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- Lagrangian description and entropy of magnetic Vlasov systems (Articolo in rivista) (literal)
- Anno
- 1992-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1017/S0022377800016561 (literal)
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- http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=4752664 (literal)
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- Istituto di Fisica del Plasma, Associazione EUR-ENEA-CNR Via Bassini 15, 20133 Milano, Italy (literal)
- Titolo
- Lagrangian description and entropy of magnetic Vlasov systems (literal)
- Abstract
- 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. (literal)
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