Dynamical properties for an ensemble of classical particles moving in a driven potential well with different time perturbation |
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Authors: | Diogo Ricardo da Costa I.L. Caldas Edson D. Leonel |
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Affiliation: | 1. Instituto de Física, Universidade de São Paulo, Rua do Matão, Cidade Universitária, 05314-970 São Paulo, SP, Brazil;2. School of Mathematics, University of Bristol, Bristol BS8 1TW, United Kingdom;3. Departamento de Física, UNESP – Universidade Estadual Paulista, Av. 24A, 1515, 13506-900 Rio Claro, SP, Brazil |
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Abstract: | We consider dynamical properties for an ensemble of classical particles confined to an infinite box of potential and containing a time-dependent potential well described by different nonlinear functions. For smooth functions, the phase space contains chaotic trajectories, periodic islands and invariant spanning curves preventing the unlimited particle diffusion along the energy axis. Average properties of the chaotic sea are characterised as a function of the control parameters and exponents describing their behaviour show no dependence on the perturbation functions. Given invariant spanning curves are present in the phase space, a sticky region was observed and show to modify locally the diffusion of the particles. |
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Keywords: | Chaos Two-dimensional mapping Dynamical system Potential well |
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