| Publication type: |
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Preprint, Working Paper, ... |
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| Subject: |
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Physics/Condensed Matter/Statistical Mechanics
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| Title: |
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Anomalous diffusion for a class of systems with two conserved quantities |
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| Author(s): |
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Cedric Bernardin ( ) 1, Gabriel Stoltz 2, 3 |
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| Laboratory: |
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| Abstract: |
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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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| Fulltext language: |
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English |
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| Production date: |
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2011-05-13 |
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