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Updated: Oct 18, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Strong wave turbulence in strongly local large-N theories
Vladimir Rosenhaus1, Daniel Schubring1
1The Graduate Center, CUNY,, Initiative for the Theoretical Sciences, 365 Fifth Ave, New York, New York 10016, USA.
Abstract:
We study wave turbulence in systems with two special properties: a large number of fields (large N) and a nonlinear interaction that is strongly local in momentum space. The first property allows us to find the kinetic equation at all interaction strengths-both weak and strong, at leading order in 1/N. The second allows us to turn the kinetic equation-an integral equation-into a differential equation. We find stationary solutions for the occupation number as a function of wave number, valid at all scales. As expected, on the weak-coupling end, the solutions asymptote to Kolmogorov-Zakharov scaling. On the strong-coupling end, they asymptote to either the widely conjectured critical balance scaling or a Kolmogorov-like scaling exponent.
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