Nonlinear Phenomena in Complex Systems, 2006, Vol.9, No.3, pp.249-253

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2006, Vol.9, No.3, pp.249-253

Kinetic Description of Hamiltonian Chaotic Transport and Applications to Complex and Non-Equilibrium Systems.
M.Cubrovic

We briefly review our kinetic model of chaotic transport in Hamiltonian systems and show how a generalized version of the same formal model can be applied to physically very different cases. We analyze two issues: the conditions leading to the Boltzmann-Gibbs distribution in systems with many degrees of freedom and the energy transport in the Sabra shell model of turbulence. We conclude that our crude toy models may serve as a step towards a consistent microscopic treatment of the above problems, and complex and non-equilibrium systems in general.
Key words: fractional kinetics, classical transport, turbulent flow and transport

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