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Preprints, Working Papers, ... Year : 2011

Anomalous diffusion for a class of systems with two conserved quantities

Abstract

We introduce a class of one dimensional deterministic models of energy-volume conserving interfaces. Numerical simulations show that these dynamics are genuinely super-diffusive. We then modify the dynamics by adding a conservative stochastic noise so that it becomes ergodic. System of conservation laws are derived as hydrodynamic limits of the modified dynamics. Numerical evidence shows these models are still super-diffusive. This is proven rigorously for harmonic potentials.

Dates and versions

hal-00593617 , version 1 (16-05-2011)

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Cedric Bernardin, Gabriel Stoltz. Anomalous diffusion for a class of systems with two conserved quantities. 2011. ⟨hal-00593617⟩
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