Physics – Condensed Matter
Scientific paper
2002-06-18
Physics
Condensed Matter
17 pages, 6 figures; to be published in Journal of Geophysical Research - Atmospheres
Scientific paper
How to distinguish and quantify deterministic and random influences on the statistics of turbulence data in meteorology cases is discussed from first principles. Liquid water path (LWP) changes in clouds, as retrieved from radio signals, upon different delay times, can be regarded as a stochastic Markov process. A detrended fluctuation analysis method indicates the existence of long range time correlations. The Fokker-Planck equation which models very precisely the LWP $fluctuation$ empirical probability distributions, in particular, their non-Gaussian heavy tails is explicitly derived and written in terms of a drift and a diffusion coefficient. Furthermore, Kramers-Moyal coefficients, as estimated from the empirical data, are found to be in good agreement with their first principle derivation. Finally, the equivalent Langevin equation is written for the LWP increments themselves. Thus rather than the existence of hierarchical structures, like an energy cascade process, {\it strong correlations} on different $time$ $scales$, from small to large ones, are considered to be proven as intrinsic ingredients of such cloud evolutions.
Ausloos Marcel
Ivanova Krassimira
No associations
LandOfFree
Statistical Derivation of the Evolution Equation of Liquid Water Path Fluctuations in Clouds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Statistical Derivation of the Evolution Equation of Liquid Water Path Fluctuations in Clouds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Statistical Derivation of the Evolution Equation of Liquid Water Path Fluctuations in Clouds will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-366527