3/4-Fractional Superdiffusion in a System of Harmonic Oscillators Perturbed by a Conservative Noise
نویسندگان
چکیده
منابع مشابه
3/4-fractional Superdiffusion 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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Lattice networks of oscillators have been considered for a long time as good models for studying macroscopic energy trasport and its diffusion, i.e. for obtaining, on a macroscopic space-time scale, heat equation and Fourier law of conduction ([1]). It is well understood that the diffusive behavior of the energy is due to the non-linearity of the interactions, and that purely deterministic harm...
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2015
ISSN: 0003-9527,1432-0673
DOI: 10.1007/s00205-015-0936-0