Quantum kinetic model of turbulence

Abstract

Using a master equation approach, we describe a one-dimensional system of two-level molecules by the probability distributions of the excited and ground states. The resulting coupled equations are partial differential equations with non-local properties. The coupled equations are solved exactly in terms of transition probabilities. We find indications of turbulent motion. Motivated by the physical ideas employed in the models, we then predict observable ratios of the critical Reynolds numbers for different diatomic gases. In this paper we present both experimental and theoretical challenges to examine the validity of our microscopic theory of turbulence. © 1998 Elsevier Science B.V.

Source or Periodical Title

Physica D: Nonlinear Phenomena

ISSN

1672789

Page

225-247

Document Type

Article

Subject

Fluids with internal degrees of freedom, Kinetic theory, Turbulence

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