3. Universal Spectrum for Atmospheric Suspended Particulates: Comparison with Observations: Data Set I

Atmospheric flows exhibit self‐similar fractal space–time fluctuations on all space–time scales in association with inverse power law distribution for power spectra of meteorological parameters such as wind, temperature, etc., and thus implies long‐range correlations, identified as self‐organized criticality generic to dynamical systems in nature. A general systems theory based on classical statistical physical concepts discussed in Chaps. 1 and 2 visualizes the fractal fluctuations to result from the coexistence of eddy fluctuations in an eddy continuum, the larger scale eddies being the integrated mean of enclosed smaller scale eddies. The model satisfies the maximum entropy principle and predicts that the probability distributions of component eddy amplitudes and the corresponding variances (power spectra) are quantified by the same universal inverse power law distribution which is a function of the golden mean. Atmospheric particulates are held in suspension by the vertical velocity distribution (spectrum). The atmospheric particulate size spectrum is derived in terms of the model predicted universal inverse power law characterizing atmospheric eddy spectrum. Model predicted spectrum is in agreement with the four experimentally determined data sets: (i) CIRPAS mission TARFOX_WALLOPS_SMPS aerosol size distributions, (ii) CIRPAS mission ARM‐IOP (Ponca City, OK) aerosol size distributions, (iii) SAFARI 2000 CV‐580 (CARG Aerosol and Cloud Data) cloud drop size distributions (DSDs), and (iv) TWP‐ICE (Darwin, Australia) rain DSDs.