Anomalous diffusion for a class of systems with two conserved quantities
Statistical Mechanics
2015-05-28 v2
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.
Cite
@article{arxiv.1105.2618,
title = {Anomalous diffusion for a class of systems with two conserved quantities},
author = {Cédric Bernardin and Gabriel Stoltz},
journal= {arXiv preprint arXiv:1105.2618},
year = {2015}
}