| Autor: |
Sguanci, Luca, Gross, Dieter H. E., Ruffo, Stefano |
| Předmět: |
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| Zdroj: |
Transport Theory & Statistical Physics; 2005, Vol. 34 Issue 3-5, p431-440, 10p, 2 Diagrams, 5 Graphs |
| Abstrakt: |
We show that recent observations of fractal dimensions in the μ‐space of N ‐body Hamiltonian systems with long‐range interactions are due to finite N and finite resolution effects. We provide strong numerical evidence that, in the continuum (Vlasov) limit, a set which initially is not a fractal (e.g., a line in 2D) remains such for all finite times. We perform this analysis for the Hamiltonian mean field (HMF) model, which describes the motion of a system of N fully coupled rotors. The analysis can be indirectly confirmed by studying the evolution of a large set of initial points for the Chirikov standard map. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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