Preliminaries to the ergodic theory of infinite-dimensional systems: A model of radiant cavity View Full Text


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Article Info

DATE

1983-01

AUTHORS

Giulio Casati, Italo Guarneri, Fausto Valz-Gris

ABSTRACT

We discuss a number of mathematical results that are relevant to the statistical mechanics of a model of radiant cavity in which the electromagnetic field interacts with a nonlinear charged oscillator. In particular, we show that energy equipartition in the sense of Jeans would exclude local exponential instability of orbits; it would also prevent the existence of significant finite invariant measures on a given energy surface. A phase space of infinite total energy is defined, and an invariant measure in it is built, for which different modes of the field are statistically independent. More... »

PAGES

195-217

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01010875

DOI

http://dx.doi.org/10.1007/bf01010875

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1014066112


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