Transition between inverse and direct energy cascades in multiscale optical turbulence

Physical Review. E
V M Malkin, N J Fisch

Abstract

Multiscale turbulence naturally develops and plays an important role in many fluid, gas, and plasma phenomena. Statistical models of multiscale turbulence usually employ Kolmogorov hypotheses of spectral locality of interactions (meaning that interactions primarily occur between pulsations of comparable scales) and scale-invariance of turbulent pulsations. However, optical turbulence described by the nonlinear Schrodinger equation exhibits breaking of both the Kolmogorov locality and scale-invariance. A weaker form of spectral locality that holds for multi-scale optical turbulence enables a derivation of simplified evolution equations that reduce the problem to a single scale modeling. We present the derivation of these equations for Kerr media with random inhomogeneities. Then, we find the analytical solution that exhibits a transition between inverse and direct energy cascades in optical turbulence.

References

Jun 10, 1996·Physical Review Letters·V M Malkin
Mar 26, 2013·Physical Review Letters·Matthew T ReevesAshton S Bradley
Jan 24, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V M MalkinN J Fisch
May 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Gregory Falkovich, Natalia Vladimirova
Jul 15, 2016·Physical Review. E·Ido BarthNathaniel J Fisch
Oct 8, 2016·Physical Review Letters·V M Malkin, N J Fisch
May 6, 2017·Physical Review Letters·Ganapati SahooLuca Biferale

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Citations

Mar 15, 2020·Physical Review. E·V M Malkin, N J Fisch
Jan 21, 2021·Physical Review. E·V M Malkin, N J Fisch

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