Random Processes, Turbulence and Disordering Fields
Technical rept. Jan 1986-Jan 1987
JOHNS HOPKINS UNIV BALTIMORE MD
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There are many classical, nonlinear systems exhibiting some kind of chaotic behavior. Examples include the turbulent flow of a fluid, usually described by means of the Navier-Stokes equations, and the behavior of liquids, gases or antiferromagnets above the critical point, etc. In this paper, we reexamine and further develop and approach to the description of such systems. The statistical theory of random process is cast into a Lagrangian form. The formalism requires the existence of an arbitrarily weak random stirring force, playing the role of a disordering field. In scale invariant systems the coupling strength of the weak stirring force can be scaled out and it disappears from the theory. Keywords Stochastic systems Fluctuations Inverse powers.
- Statistics and Probability
- Electricity and Magnetism
- Fluid Mechanics