Volume 89, Number 5, March 2010
|Number of page(s)||6|
|Published online||26 March 2010|
Stationary states and fractional dynamics in systems with long-range interactions
IM2NP, Aix-Marseille Universit, Centre de Saint Jérôme - Case 142, F-13397 Marseille Cedex 20, France, EU
2 Dipartimento di Energetica Sergio Stecco, Università di Firenze - via s. Marta 3, I-50139 Firenze, Italy, EU
3 Centro interdipartimentale per lo Studio delle Dinamiche Complesse (CSDC) - via G. Sansone 1, I-50019 Sesto Fiorentino (FI), Italy, EU
4 INFN, sezione di Firenze - via G. Sansone 1, I-50019 Sesto Fiorentino (FI), Italy, EU
5 Centre de Physique Théorique (Unité Mixte de Recherche (UMR 6207) du CNRS, et des universités Aix-Marseille I, Aix-Marseille II et du Sud Toulon-Var. Laboratoire affilié la FRUMAM (FR 2291).) , Aix-Marseille Université, CNRS, Luminy - Case 907, F-13288 Marseille cedex 9, France, EU
Corresponding author: email@example.com
Accepted: 26 February 2010
The dynamics of many-body Hamiltonian systems with long-range interactions is studied, in the context of the so-called α-HMF model. Building on the analogy with the related mean-field model, we construct stationary states of the α-HMF model for which the spatial organization satisfies a fractional equation. At variance, the microscopic dynamics turns out to be regular and explicitly known. As a consequence, dynamical regularity is achieved at the price of strong spatial complexity, namely a microscopic inhomogeneity which locally displays scale invariance.
PACS: 05.20.-y – Classical statistical mechanics / 05.45.-a – Nonlinear dynamics and chaos
© EPLA, 2010
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.