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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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
id todo:paper_03759601_v311_n2-3_p180_Kowalski
record_format dspace
spelling todo:paper_03759601_v311_n2-3_p180_Kowalski2023-10-03T15:31:05Z Wavelet statistical complexity analysis of the classical limit Kowalski, A.M. Martin, M.T. Plastino, A. Proto, A.N. Rosso, O.A. Quantum chaos Semi-classical theories article chaotic dynamics entropy molecular dynamics nonlinear system oscillation oscillator phase transition statistical analysis 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03759601_v311_n2-3_p180_Kowalski
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Quantum chaos
Semi-classical theories
article
chaotic dynamics
entropy
molecular dynamics
nonlinear system
oscillation
oscillator
phase transition
statistical analysis
spellingShingle Quantum chaos
Semi-classical theories
article
chaotic dynamics
entropy
molecular dynamics
nonlinear system
oscillation
oscillator
phase transition
statistical analysis
Kowalski, A.M.
Martin, M.T.
Plastino, A.
Proto, A.N.
Rosso, O.A.
Wavelet statistical complexity analysis of the classical limit
topic_facet Quantum chaos
Semi-classical theories
article
chaotic dynamics
entropy
molecular dynamics
nonlinear system
oscillation
oscillator
phase transition
statistical analysis
description 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.
format JOUR
author Kowalski, A.M.
Martin, M.T.
Plastino, A.
Proto, A.N.
Rosso, O.A.
author_facet Kowalski, A.M.
Martin, M.T.
Plastino, A.
Proto, A.N.
Rosso, O.A.
author_sort Kowalski, A.M.
title Wavelet statistical complexity analysis of the classical limit
title_short Wavelet statistical complexity analysis of the classical limit
title_full Wavelet statistical complexity analysis of the classical limit
title_fullStr Wavelet statistical complexity analysis of the classical limit
title_full_unstemmed Wavelet statistical complexity analysis of the classical limit
title_sort wavelet statistical complexity analysis of the classical limit
url http://hdl.handle.net/20.500.12110/paper_03759601_v311_n2-3_p180_Kowalski
work_keys_str_mv AT kowalskiam waveletstatisticalcomplexityanalysisoftheclassicallimit
AT martinmt waveletstatisticalcomplexityanalysisoftheclassicallimit
AT plastinoa waveletstatisticalcomplexityanalysisoftheclassicallimit
AT protoan waveletstatisticalcomplexityanalysisoftheclassicallimit
AT rossooa waveletstatisticalcomplexityanalysisoftheclassicallimit
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