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Anomalous fluctuations for a perturbed hamiltonian system with exponential interactions

Cedric Bernardin 1 P. Gonçalves 2 
1 JAD - Laboratoire Jean Alexandre Dieudonné
2 CMAT - Centro de Matemática [Minho]
Abstract : A one-dimensional Hamiltonian system with exponential interactions perturbed by a conservative noise is considered. It is proved that energy superdiffuses and upper and lower bounds describing this anomalous diffusion are obtained
Keywords : Interacting particles system Anomalous diffusion heat conduction
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Submitted on : Friday, November 29, 2013 - 9:05:39 AM
Last modification on : Wednesday, May 4, 2022 - 3:20:39 AM
Long-term archiving on: : Monday, March 3, 2014 - 4:21:01 PM

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  • HAL Id : ensl-00695381, version 2
  • ARXIV : 1205.1879

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Cedric Bernardin, P. Gonçalves. Anomalous fluctuations for a perturbed hamiltonian system with exponential interactions. Communications in Mathematical Physics, Springer Verlag, 2013, pp.44. ⟨ensl-00695381v2⟩

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