Generation and Characterization of Absolute Equilibrium of Compressible Flows

نویسندگان

  • Giorgio Krstulovic
  • Carlos Cartes
  • Marc Brachet
  • Enrique Tirapegui
چکیده

A short review is given of recent papers on the relaxation to (incompressible) absolute equilibrium. A new algorithm to construct absolute equilibrium of spectrally truncated compressible flows is described. The algorithm uses stochastic processes based on the Clebsch representation of the velocity field to generate density and velocity fields that follow by construction the absolute equilibrium stationary probability. The new method is shown to reproduce the well-known Gaussian results in the incompressible limit. The irrotational compressible absolute equilibrium case is characterized and the distribution is shown to be non-Gaussian. The high-temperature compressible spectra are found not to obey k scaling. Finally, oscillating behavior in constantpressure variable-temperature relaxation is obtained, suggesting the presence of second sound.

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عنوان ژورنال:
  • I. J. Bifurcation and Chaos

دوره 19  شماره 

صفحات  -

تاریخ انتشار 2009