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On the energetics of maximum‐entropy temperature profiles

On the energetics of maximum‐entropy temperature profiles The problem of determining a maximum‐entropy state in an atmospheric column has different solutions depending on the constraints imposed. As was first shown by J. W. Gibbs, maximization of entropy in a thermally‐isolated, i.e. energy‐conserving, atmosphere yields an isothermal temperature distribution. It has since been argued that conservation of the mass‐weighted integral of potential temperature, or of the column potential enthalpy, is more appropriate for certain dynamical processes. The solution of the maximization problem satisfying this second constraint is quite different: an adiabatic temperature profile. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Quarterly Journal of the Royal Meteorological Society Wiley

On the energetics of maximum‐entropy temperature profiles

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References (52)

Publisher
Wiley
Copyright
"Copyright © 2008 Wiley Subscription Services, Inc., A Wiley Company"
ISSN
0035-9009
eISSN
1477-870X
DOI
10.1002/qj.209
Publisher site
See Article on Publisher Site

Abstract

The problem of determining a maximum‐entropy state in an atmospheric column has different solutions depending on the constraints imposed. As was first shown by J. W. Gibbs, maximization of entropy in a thermally‐isolated, i.e. energy‐conserving, atmosphere yields an isothermal temperature distribution. It has since been argued that conservation of the mass‐weighted integral of potential temperature, or of the column potential enthalpy, is more appropriate for certain dynamical processes. The solution of the maximization problem satisfying this second constraint is quite different: an adiabatic temperature profile.

Journal

The Quarterly Journal of the Royal Meteorological SocietyWiley

Published: Jan 1, 2008

Keywords: ; ; ; ;

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