Universal Quantification for Self-Organized Criticality in Atmospheric Flows

Abstract

Atmospheric flows exhibit selfsimilar fluctuations on all scales(space-time) ranging from climate(kilometers/years) to turbulence(millimeters/seconds) manifested as 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 self-organized criticality in atmospheric flows. Also, mathematical models for simulation and prediction of atmospheric flows are nonlinear and computer realizations give unrealistic solutions because of deterministic chaos, a direct consequence of finite precision round-off error doubling for each iteration of iterative computations incorporated in long-term numerical integration schemes used for model solutions An alternative non-deterministic cell dynamical system model predicts, (a): the observed self organized criticality as a consequence of quantumlike mechanics governing flow dynamics,.(b):atmospheric flows trace an overall logarithmic spiral trajectory with the quasiperiodic Penrose tiling pattern for the internal structure,(c): eddy circulation structure follows Kepler's third law of planetary motion and results in inverse square law form for centripetal acceleration. The inertial masses representing the eddy circulation therefore follow laws analogous to the Newton's inverse square law for gravitation. The model is similar to a superstring model for subatomic dynamics which unifies quantum mechanical and classical concept and incorporates gravitational forces along with nuclear and electromagnetic forces.