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3/4-Fractional Superdiffusion in a System of Harmonic Oscillators Perturbed by a Conservative Noise

2015; Springer Science+Business Media; Volume: 220; Issue: 2 Linguagem: Inglês

10.1007/s00205-015-0936-0

ISSN

1432-0673

Autores

Cédric Bernardin, Patrícia Gonçalves, Milton Jara,

Tópico(s)

Fractional Differential Equations Solutions

Resumo

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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