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On the algebraic structure of particle motion in a field of turbulence
Authors:Jiří Horák  Reviewer J Navrátil
Institution:(1) Institute of the Physics of the Atmosphere, Czechosl. Acad. Sci., Prague
Abstract:Summary The motion of particles in a turbulent flow is described by means of algebraic physics. The initial concepts are structurally ordered groupoids, algebras of observables, logically dependent on them, with couplings and the non-canonic transition between two Hamiltonians. The non-canonic transition leads to the substitution of time t by a new parameter. Its real counterpart gives the lower limit of the size of the time step in the differential equation of transfer, based on the semi-empirical image of turbulent diffusion.
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