3/4 Fractional superdiffusion of energy in a system of harmonic oscillators perturbed by a conservative noise

We consider a harmonic chain perturbed by an energy conserving noise and show that after a space-time rescaling the energy-energy correlation function is given by the solution of a skew-fractional heat equation with exponent 3/4.

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Additional Info

Field Value
Source ISSN: 0003-9527
Author Bernardin, Cedric, Gonçalves, Patricia, Jara, Milton
Maintainer CCSD
Last Updated May 5, 2026, 10:19 (UTC)
Created May 5, 2026, 10:19 (UTC)
Identifier hal-00943116
Language en
Rights https://creativecommons.org/licenses/by/4.0/
contributor Laboratoire Jean Alexandre Dieudonné (LJAD) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UniCA)
creator Bernardin, Cedric
date 2016-05-05T00:00:00
harvest_object_id 25b83c19-377d-4712-9647-bda5d839ee41
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-06-23T00:00:00
relation info:eu-repo/semantics/altIdentifier/doi/10.1007/s00205-015-0936-0
set_spec type:ART