Statistical mechanics of a bounded, ideal magnetofluid
type: Item
instance of: scholarly article
title: Statistical mechanics of a bounded, ideal magnetofluid
zbMATH Open document ID: 0537.76090
DOI: 10.1016/0003-4916(83)90302-0
author: Leaf Turner
published in: Annals of Physics
publication date: 1983-01-01T00:00:00Z
review text: It is wellknown that for infinite dimensional spaces the Lebesgue measure does not exist and that Liouville's theorem states the invariance of the Lebesgue measure under the dynamical motion of an incompressible finite dimensional system of ordinary differential equations. In spite of these facts in the presented statistical model the author uses for a system of infinitely many degrees of freedom Liouville's theorem to define a canonical distribution density (with respect to the non existing Lebesgue measure), with the invariants of the ideal, three-dimensional, incompressible, cylindrically bounded, current bearing magnetofluid. He is able to calculate expectation values which fit to experimental situations.
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 3854697
zbMATH Keywords: infinitely many degrees of freedom
zbMATH Keywords: Liouville's theorem
zbMATH Keywords: canonical distribution density
zbMATH Keywords: ideal
zbMATH Keywords: three-dimensional
zbMATH Keywords: incompressible
zbMATH Keywords: cylindrically bounded
zbMATH Keywords: current bearing
reviewed by: Gerhard Gerlich
MaRDI profile type: Publication
full work available at URL: 0003-4916(83)90302-0
OpenAlex ID: W2055546953
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description: scientific article; zbMATH DE number 3854697