Kraichnan's (J. Acoust. Soc. Am., 27 (1955) 438) formulation of the equilibrium statistical mechanics of compressible isotropic turbulence is generalized to include cases with strong excitation of individual systems. An ideal compressible finite Fourier system is shown to evolve towards an equipartition of energy between acoustic and vorticity modes in the equilibrium distribution.
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Bhimsen K. Shivamoggi (1997) studied this question.
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