Study on random and coherence states using a family of CML models |
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Authors: | Liu Zhao-Cun |
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Institution: | Dalian University of Technology, Dalian 116024, China |
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Abstract: | A family of coupled map lattice (CML) models has been developed to
simulate the interaction of convection, diffusion and dispersion in
both weakly and strongly coupled cases. With variation of
parameters, the models can simulate those systems of convection
dominating, diffusion dominating, and dispersion dominating states.
Not only coherent and turbulent properties as well as their
interrelations, but also the transitional state between any modes
with local coupling and global coupling are analysed to demonstrate
the essential characteristics of any state. Numerical results show
that the models are capable of simulating both layered coupling and
stochastic mechanism, and thus can be conveniently used to analyse
an initiative and driven coupled system. Results of numerical
simulation also lead us to understand whether or not turbulence
coherent structure is formed by modulation of wave packet. Finally,
the duality of wave and particle characters of turbulence is
illustrated in the numerical simulation. |
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Keywords: | CML model dissipation dispersion coherence |
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