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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. 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.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-00593617
Contributor : Gabriel Stoltz Connect in order to contact the contributor
Submitted on : Monday, May 16, 2011 - 5:08:05 PM
Last modification on : Thursday, February 3, 2022 - 11:18:06 AM

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  • HAL Id : hal-00593617, version 1
  • ARXIV : 1105.2618

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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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