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The fractality of the relaxation modes in deterministic reaction-diffusion systems

I. Claus·P. Gaspard
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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.

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I. Claus, P. Gaspard. 2002-04-12. The fractality of the relaxation modes in deterministic reaction-diffusion systems. https://doi.org/10.1016/s0167-2789(02)00515-8

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