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Phase transitions in turbulence Coherence and fluctuations: turbulence as quantum phenomenon

Phase transitions in turbulence Coherence and fluctuations: turbulence as quantum phenomenon. N. Vladimirova, G. Falkovich , S. Derevyanko. Heidelberg , June 21, 2012. We expect from turbulence fragmentation , mixing and loss of coherence . However ,

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Phase transitions in turbulence Coherence and fluctuations: turbulence as quantum phenomenon

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  1. Phase transitions in turbulenceCoherence and fluctuations: turbulence as quantum phenomenon N. Vladimirova, G. Falkovich, S. Derevyanko Heidelberg , June 21, 2012

  2. We expect from turbulence fragmentation, mixing and loss of coherence. However, an inverse turbulent cascade proceeds from small to large scales and brings some self-organization and eventually appearance of a coherent system-size condensate.

  3. Gross-Pitaevsky model – nonlinear Schrodinger equation

  4. Optical turbulence Two integrals of motion – two cascades With cold atoms one needs to supply constantly high-momentum atoms and simultaneously cool the system to preserve the energy . Inverse cascade k

  5. Condensate growth

  6. Early stage of condensate growth Field amplitude in space Fourier spectrum

  7. Collective oscillations

  8. And then The surprises start

  9. Spectra Flux lines in Fourier space

  10. Hexatic phase? Correlation function of the over-condensate fluctuations

  11. Conclusion

  12. Condensation in turbulence

  13. V. E. Zakharov, V. S. L'vov, G. Falkovich, Kolmogorov Spectra of Turbulence, Springer, Berlin, 1992 http://www.weizmann.ac.il/home/fnfal/papers/book.html

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