MARKOV PROCESS IN THE CONTINUOUS GROWTH OF CLOUD DROPS UNDER CONDITIONS OF SMALL-SCALE FLUCTUATIONS AND ITS EFFECT ON THE DEVELOPMENT OF CUMULONIMBUS,
EMMANUEL COLL BOSTON MASS ORIENTAL SCIENCE LIBRARY
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When the scale of fluctuation is relatively small, the continuous stochastic growth of cloud droplets may be treated as a diffusion problem in an R-space where R denotes the drop radius. Not only is the influence of this type of fluctuation very pronounced in warm cumulus, but is also significant in cumulonimbus containing ice crystals. Observational evidence has already shown that during the development of cumulonimbus in middle latitudes, a large number of precipitation elements has already formed in the warm cloud stage often before the onset of crystallization. For such large drops, the average rate of growth is greater by coalescence than by the ice-crystal process. Consequently, the appearance of ice crystals at the later stage and the associated process of sublimation-condensation transfer may not be so important.