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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. 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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Submitted on : Tuesday, November 26, 2013 - 7:39:06 PM
Last modification on : Friday, February 4, 2022 - 3:13:49 AM
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Cedric Bernardin, Gabriel Stoltz. Anomalous diffusion for a class of systems with two conserved quantities. Nonlinearity, IOP Publishing, 2012, 25, pp.1099-1133. ⟨10.1088/0951-7715/25/4/1099⟩. ⟨ensl-00909792⟩



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