Diffusion on a chaotic attractor

✍ Scribed by M. Glück; A.R. Kolovsky; H.J. Korsch

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 417 KB
• Volume: 116
• Category: Article
• ISSN: 0167-2789
• DOI: 10.1016/s0167-2789(97)00298-4

✦ Synopsis

We study the process of chaotic diffusion for a simple 1D physical system: a particle moving in a potential, which is periodic in space and time. Both, nondissipative and dissipative, cases are considered. The process of nondissipative diffusion is shown to be affected by L6vy flights, which lead to an anomalous (super-) diffusion. The addition of a weak dissipation to the system can form a chaotic attractor, which is extended along the position axis with a confinement of the momenta in phase space. In this case, the diffusion of the particle (now on the chaotic attractor) was found to be normal. The case of transient diffusion, which occurs for a simple attractor with fractal basins, is also discussed.