The fractality of the relaxation modes in deterministic reaction-diffusion systems
Statistical Mechanics
2009-11-07 v1 Chaotic Dynamics
Abstract
In chaotic reaction-diffusion systems with two degrees of freedom, the modes governing the exponential relaxation to the thermodynamic equilibrium present a fractal structure which can be characterized by a Hausdorff dimension. For long wavelength modes, this dimension is related to the Lyapunov exponent and to a reactive diffusion coefficient. This relationship is tested numerically on a reactive multibaker model and on a two-dimensional periodic reactive Lorentz gas. The agreement with the theory is excellent.
Cite
@article{arxiv.cond-mat/0204264,
title = {The fractality of the relaxation modes in deterministic reaction-diffusion systems},
author = {I. Claus and P. Gaspard},
journal= {arXiv preprint arXiv:cond-mat/0204264},
year = {2009}
}