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Absolute equilibrium entropy

Published online by Cambridge University Press:  13 March 2009

John V. Shebalin
John V. Shebalin
Affiliation:
National Aeronautics and Space Administration, Langely Reserach Center, Hampton, Virginia 23681, USA
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Abstract

The entropy associated with absolute equilibrium ensemble theories of ideal, homogeneous, fluid and magnetofluid turbulence is discussed, and the three-dimensional fluid case is examined in detail. A σ function is defined, whose minimum value with respect to global parameters is the entropy. A comparison is made between the use of global functions σ and phase functions H (associated with the development of various H theorems of ideal turbulence). It is shown that the two approaches are complementary, though conceptually different: H theorems show that an isolated system tends to equilibrium, while σ functions allow the demonstration that entropy never decreases when two previously isolated systems are combined. This provides a more complete picture of entropy in the statistical mechanics of ideal fluids.

Type
Research Article
Information
Journal of Plasma Physics , Volume 56 , Issue 3: Special Issue: Honour of David Montgomery , December 1996 , pp. 419 - 426
Copyright
Copyright © Cambridge University Press 1996

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