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Indian Institute of Tropical Meteorology, Pune - 411 008, India

Proceedings(Poster) Conference on Patterns,Nonlinear Dynamics and Stochastic Behaviour in Spatially Extended Complex Systems,October 24-28,1997,Budapest,Hungary

Atmospheric flows exhibit selfsimilar fluctuations on all scales (space-time) ranging from climate
(kilometers/years) to turbulence (millimeters/seconds) manifested as the ** fractal **geometry to
the global cloud cover pattern concomitant with inverse power law form for power spectra of temporal
fluctuations. Selfsimilar fluctuations implying long-range correlations are ubiquitous to dynamical systems in
nature and are identified as signatures of

**MODEL CONCEPTS**

Atmospheric flows is a representative example of turbulent fluid flows.The model is based on the concept that
spatial integration of enclosed small scale(turbulent eddy) fluctuations result in organized large eddy
circulations. The eddy energy spectrum therefore follows statistical normal distribution characteristics
according to the** Central Limit Theorem**. Therefore,the square of the eddy amplitude,i.e.,
variance represents the statistical normal probability density distribution.Such a result that the additive
amplitudes of eddies,when squared, represent probability densities is observed in the sub-atomic dynamics of
quantum systems such as the electron or photon. Atmospheric flows therefore follow quantumlike mechanical
laws. The root mean square(r.m.s) circulation speed

The square of the eddy amplitude ** W^{2 }** represents the kinetic energy

*
*

where ** _{R}** ( proportional to

The relative phase angle between large and turbulent eddies is equal to ** r/R** and is directly
proportional to

*
*

Equation(3) is analogous to ** Kepler's third law of planetary motion**,namely, the square of the
planet's year(period) to the cube of the mean distance from the

The apparent paradox of wave-particle duality in microscopic scale quantum systems is however physically
consistent in the context of macroscale atmospheric flows since the bi-directional energy flow structure of a
complete atmospheric eddy results in the formation of clouds in updrafts regions and dissipation of clouds in
downdrafts regions.The commonplace occurrence of clouds in a row is a manifestation of wave-particle duality
in the macroscale quantum system of atmospheric flows. The above-described analogy of quantum-like
mechanics for atmospheric flows is similar to the concept of a subquantum level of fluctuations whose space-
time organization gives rise to the observed manifestation of subatomic phenomena,i.e.,quantum systems as
order out of chaos phenomena[G.Grossing,Il Nuovo Cimento 103B(1989) 497].
H.E.Puthoff[Phys.Rev.A.39,2333(1989)] has also put forth the concept of ** "Gravity as a zero-point
fluctuation force"**( Quantum fluctuations of empty space).The vacuum zero-point fluctuation(electromagnetic) energy manifested in the
Casimir effect is analogous to the turbulent scale fluctuations whose spatial integration results in coherent
large eddy structures.

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