par Claus, Isabelle ;Gaspard, Pierre
Référence Physica D: Nonlinear Phenomena, 168-169, page (266-291)
Publication Publié, 2002
Article révisé par les pairs
Résumé : 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. © 2002 Elsevier Science B.V. All rights reserved.