Fluctuations in an Equilibrium Convective Ensemble. Part I: Theoretical Formulation
نویسندگان
چکیده
منابع مشابه
Fluctuations in an Equilibrium Convective Ensemble. Part I: Theoretical Formulation
To provide a theoretical basis for stochastic parameterization of cumulus convection, the equilibrium fluctuations of a field of cumulus clouds under homogeneous large-scale forcing are derived statistically, using the Gibbs canonical ensemble from statistical mechanics. In the limit of noninteracting convective cells, the statistics of these convective fluctuations can be written in terms of t...
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The theoretical predictions derived in Part I of this study for the equilibrium fluctuations of an idealized ensemble of noninteracting, pointlike cumulus clouds are tested against three-dimensional cloud resolving model (CRM) simulations of radiative–convective equilibrium. Simulations with different radiative cooling rates are used to give a range of cloud densities, while imposed vertical wi...
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The entropy budget of an atmosphere in radiative–convective equilibrium is analyzed here. The differential heating of the atmosphere, resulting from surface heat fluxes and tropospheric radiative cooling, corresponds to a net entropy sink. In statistical equilibrium, this entropy sink is balanced by the entropy production due to various irreversible processes such as frictional dissipation, dif...
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Firstly, we describe fluctuations in the occupation numbers of the energy levels in the microcanonical ensemble using identities that we have derived for the purpose, which allow us to calculate the moments of the occupation numbers. Then we compute analytically the probability distribution of these fluctuations. We show that, for every system of finite N , fluctuations about the equilibrium di...
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ژورنال
عنوان ژورنال: Journal of the Atmospheric Sciences
سال: 2006
ISSN: 1520-0469,0022-4928
DOI: 10.1175/jas3709.1