Transport Equations from Liouville Equations for Fractional Systems

Details Transport Equations from Liouville Equations for Fractional Systems Transport Equations from Liouville Equations for Fractional Systems

2006-04-03

arxiv.org/abs/cond-mat/0604058v1

International Journal of Modern Physics B 20 (2006) 341-353

Physics

Condensed Matter

Statistical Mechanics

11 pages, LaTeX

Scientific paper

10.1142/S0217979206033267

We consider dynamical systems that are described by fractional power of coordinates and momenta. The fractional powers can be considered as a convenient way to describe systems in the fractional dimension space. For the usual space the fractional systems are non-Hamiltonian. Generalized transport equation is derived from Liouville and Bogoliubov equations for fractional systems. Fractional generalization of average values and reduced distribution functions are defined. Hydrodynamic equations for fractional systems are derived from the generalized transport equation.

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