Scaling properties for a classical particle in a time-dependent potential well.

Leonel, Edson D. and McClintock, Peter V. E. (2005) Scaling properties for a classical particle in a time-dependent potential well. Chaos, 15 (3). 033701. ISSN 1054-1500

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Abstract

Some scaling properties for a classical particle interacting with a time-dependent square-well potential are studied. The corresponding dynamics is obtained by use of a two-dimensional nonlinear area-preserving map. We describe dynamics within the chaotic sea by use of a scaling function for the variance of the average energy, thereby demonstrating that the critical exponents are connected by an analytic relationship.

Item Type: Journal Article
Journal or Publication Title: Chaos
Additional Information: Copyright 2005 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Chaos, 15 (3), 2005 and may be found at http://scitation.aip.org/content/aip/journal/chaos/15/3/10.1063/1.1941067
Uncontrolled Keywords: /dk/atira/pure/researchoutput/libraryofcongress/qc
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 9407
Deposited By: Ms Margaret Calder
Deposited On: 06 Jun 2008 15:16
Refereed?: Yes
Published?: Published
Last Modified: 22 Aug 2019 00:42
URI: https://eprints.lancs.ac.uk/id/eprint/9407

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