Scaling dynamics for a particle in a time-dependent potential well

Diogo Ricardo da Costa, Mário Roberto Silva, Juliano A. de Oliveira and Edson D. Leonel

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 13, 3607-3615

Abstract: Some dynamical properties for a classical particle confined in an infinitely deep box of potential containing a periodically oscillating square well are studied. The dynamics of the system is described by using a two-dimensional non-linear area-preserving map for the variables energy and time. The phase space is mixed and the chaotic sea is described using scaling arguments. Scaling exponents are obtained as a function of all the control parameters, extending the previous results obtained in the literature.

Keywords: Scaling; Chaos (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:13:p:3607-3615

DOI: 10.1016/j.physa.2012.02.011

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