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How storm develops as the wind blows

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ADIW02 - Mathematical and Computational Modelling of Anti-Diffusive Phenomena

I will describe an attempt to describe wave turbulence using the methods of quantum field theory. We consider waves that interact via four-wave scattering (such as sea waves, plasma waves, spin waves, and many others). By summing the series of the most UV-divergent terms in the perturbation theory, we show that the true dimensionless coupling is different from the naive estimate, and find that the effective interaction either decays or grows explosively with the cascade extent, depending on the sign of the new coupling. The explosive growth possibly signals the appearance of a multi-wave bound state (solitons, shocks, cusps) similar to confinement in quantum chromodynamics. We find that IR divergence in the effective coupling could be responsible for an anomalous scaling in wave turbulence.

This talk is part of the Isaac Newton Institute Seminar Series series.

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Armitage Room, Queens' College MRC CBU, 15 Chaucer Road Cambridge CB2 7EF Faculty of Philosophy

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