Chaos and fractals in dynamical models of transport and reaction.
This paper contains a discussion of dynamical randomness among the different methods of simulation of a fluid and its characterization by the concept of Kolmogorov-Sinai entropy per unit time. Moreover, a renormalization-group method is presented in order to construct the hydrodynamic and reactive modes of relaxation in chaotic models. The renormalization-group construction allows us to obtain the dispersion relation of these modes, i.e. their damping rate versus the wavenumber. Besides, these modes are characterized by a fractal dimension given in terms of a diffusion coefficient and a Lyapunov exponent.
Gaspard
P
P
Centre for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Belgium.
Claus
I
I
D001692:Biological Transport; D003198:Computer Simulation; D004058:Diffusion; D017709:Fractals; D007700:Kinetics; D008954:Models, Biological; D008956:Models, Chemical; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D012212:Rheology / Q000379:methods*