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Article overview
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Coupled symplectic maps as models for subdiffusive processes in disordered Hamiltonian lattices | Chris G. Antonopoulos
; Tassos Bountis
; Lambros Drossos
; | Date: |
1 Aug 2015 | Abstract: | We investigate dynamically and statistically diffusive motion in a chain of
linearly coupled 2-dimensional symplectic McMillan maps and find evidence of
subdiffusion in weakly and strongly chaotic regimes when all maps of the chain
possess a saddle point at the origin and the central map is initially excited.
In the case of weak coupling, there is either absence of diffusion or
subdiffusion with $q>1$-Gaussian probability distributions, characterizing weak
chaos. However, for large enough coupling and already moderate number of maps,
the system exhibits strongly chaotic ($qapprox 1$) subdiffusive behavior,
reminiscent of the subdiffusive energy spreading observed in a disordered
Klein-Gordon Hamiltonian. Our results provide evidence that coupled symplectic
maps can exhibit physical properties similar to those of disordered Hamiltonian
systems, even though the local dynamics in the two cases is significantly
different. | Source: | arXiv, 1508.0114 | Services: | Forum | Review | PDF | Favorites |
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