Wavelet statistical complexity analysis of the classical limit

Weintroduce the notion of wavelet statistical complexity (WSC) and investigate the classical limit of the non-linear dynamics of two interacting harmonic oscillators. It is shown that a rather special relationship between entropy and chaos ensues that, using the WSC tool, sheds some light on the int...

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Detalles Bibliográficos
Autores principales: Kowalski, A.M., Martin, M.T., Plastino, A., Proto, A.N., Rosso, O.A.
Formato: JOUR
Materias:
Quantum chaos
Semi-classical theories
article
chaotic dynamics
entropy
molecular dynamics
nonlinear system
oscillation
oscillator
phase transition
statistical analysis
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03759601_v311_n2-3_p180_Kowalski
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:Weintroduce the notion of wavelet statistical complexity (WSC) and investigate the classical limit of the non-linear dynamics of two interacting harmonic oscillators. It is shown that a rather special relationship between entropy and chaos ensues that, using the WSC tool, sheds some light on the intricacies of the classical-quantum transition. The associated transition region is seen to consists of two sub-zones, each with quite different properties. In one of them, a solid-gas like (smooth) transition seems to take place. © 2003 Elsevier Science B.V. All rights reserved.

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