Statistical Equilibria of Uniformly Forced Advection Condensation

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dc.creatorSukhatme, Jai
dc.creatorPierrehumbert, Raymond T.
dc.date2005-12-15
dc.date2006-06-30
dc.date.accessioned2026-07-07T06:55:57Z
dc.date.available2026-07-07T06:55:57Z
dc.descriptionWe examine the state of statistical equilibrium attained by a uniformly forced condensable substance subjected to advection in a periodic domain. In particular, we examine the probability density function (\pdf{}) of the condensable substance in the limit of rapid condensation. The constraints imposed by this limit are pointed out and are shown to result in a \pdf{} -- whenever the advecting velocity field admits a diffusive representation -- that features a peak at small values, decays exponentially and terminates in a rapid "roll-off" near saturation. Possible physical implications of this feature as compared to a \pdf{} which continues to decay slowly are pointed out. A set of simple numerical exercises which employ lattice maps for purposes of advection are performed to test these features. Despite the simplicity of the model, the derived \pdf{} is seen to compare favourably with \pdf{}'s constructed from isentropic specific humidity data. Further, structure functions associated with the condensable field are seen to scale anomalously with near saturation of the scaling exponents for high moments -- a feature which agrees with studies of high resolution aircraft data.
dc.description10 pages, 5 figs, re-revised version -- clearer formulation of the pdf equation. Comments on physical implications etc
dc.identifierhttps://arxiv.org/abs/nlin/0512039
dc.identifierhttp://arxiv.org/abs/nlin/0512039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106456
dc.subjectPattern Formation and Solitons
dc.subjectChaotic Dynamics
dc.subjectAtmospheric and Oceanic Physics
dc.subjectFluid Dynamics
dc.titleStatistical Equilibria of Uniformly Forced Advection Condensation
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