Volume 60, Number 6, December 2002
|Page(s)||820 - 826|
|Published online||01 December 2002|
Lorenz deterministic diffusion
INFM-Dipartimento di Fisica,
Università di Genova - I-16146 Genova, Italy
2 ISAC/CNR, Sezione di Lecce - Strada provinciale Lecce-Monteroni km 1.2 73100 Lecce, Italy
3 CNRS, Observatoire de la Côte d'Azur - B.P. 4229, 06304 Nice Cedex 4, France
Corresponding author: firstname.lastname@example.org
Accepted: 25 September 2002
The Lorenz 1963 dynamical system is known to reduce in the steady state to a one-dimensional motion of a classical particle subjected to viscous damping in a past history-dependent potential field. If the potential field is substituted by a periodic function of the position, the resulting system shows a rich dynamics where (standard) diffusive behaviours, ballistic motions and trapping take place by varying the model control parameters. This system permits to highlight the intimate relation between chaos and long-time deterministic diffusion.
PACS: 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 05.60.-k – Transport processes
© EDP Sciences, 2002
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