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.
- Publication:
-
Nonlinearity
- Pub Date:
- April 2012
- DOI:
- 10.1088/0951-7715/25/4/1099
- arXiv:
- arXiv:1105.2618
- Bibcode:
- 2012Nonli..25.1099B
- Keywords:
-
- Condensed Matter - Statistical Mechanics
- E-Print:
- doi:10.1088/0951-7715/25/4/1099