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Journal Articles Nonlinearity Year : 2012

Anomalous diffusion for a class of systems with two conserved quantities

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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. A system of conservation laws are derived as hydrodynamic limits of the modified dynamics. Numerical evidence shows that these models are still super-diffusive. This is proven rigorously for harmonic potentials.
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Dates and versions

ensl-00909792 , version 1 (26-11-2013)

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Cedric Bernardin, Gabriel Stoltz. Anomalous diffusion for a class of systems with two conserved quantities. Nonlinearity, 2012, 25, pp.1099-1133. ⟨10.1088/0951-7715/25/4/1099⟩. ⟨ensl-00909792⟩
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