The fractality of the relaxation modes in reaction-diffusion systems
[摘要] 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. (C) 2002 Elsevier Science B.V. All rights reserved.
[发布日期] 2002-08-01 [发布机构]
[效力级别] Proceedings Paper [学科分类]
[关键词] reaction-diffusion systems;hydrodynamic modes;fractals;microscopic chaos [时效性]
