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Article overview
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Stationary states and fractional dynamics in systems with long range interactions | | Tineke L. Van Den Berg
; Duccio Fanelli
; Xavier Leoncini
; | | Date: |
16 Dec 2009 | | Abstract: | Dynamics of many-body Hamiltonian systems with long range interactions is
studied, in the context of the so called $alpha-$HMF model. Building on the
analogy with the related mean field model, we construct stationary states of
the $alpha-$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. | | Source: | arXiv, 0912.3060 | | Services: | Forum | Review | PDF | Favorites | |
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