Chaotic scattering: An invariant fractal tiling of phase space

Autor:	Ampawan Tiyapan, Charles Jaffé
Rok vydání:	1995
Předmět:	Physics Scaling law Fractal Scattering Chaotic systems Phase space Chaotic scattering General Physics and Astronomy Observable Statistical physics Physical and Theoretical Chemistry Hamiltonian system
Zdroj:	The Journal of Chemical Physics. 103:5499-5511
ISSN:	1089-7690 0021-9606
DOI:	10.1063/1.470534
Popis:	The existence of an invariant fractal tiling of phase space for unbound Hamiltonian systems is demonstrated. The fractal properties of this partitioning of phase space is intimately related to the redistribution of energy among the various modes of the system. The existence of this tiling enables one to express the expectation values of physical observables as infinite sums over all of the tiles. Furthermore, knowledge of the scaling laws associated with the tiling then enables one to evaluate these sums.
Databáze:	OpenAIRE
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