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University in turbulence: An exactly solvable model

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Low-Dimensional Models in Statistical Physics and Quantum Field Theory

Part of the book series: Lecture Notes in Physics ((LNP,volume 469))

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References

  1. Phase transitions and critical phenomena. Vol. 6 eds. C. Doomb, M. S. Green. Academic Press, London 1976.

    Google Scholar 

  2. R. L. Dobrushin, R. Kotecký, S. Shlosman: The Wulff construction: a global shape from local interactions. AMS, Translations of Mathematical Monographs 104, Providence, Rhode Island 1992

    Google Scholar 

  3. J. Feldman, E. Trubowitz: The Flow of an Electron-Phonon System to the Superconducting State, Helv. Phys. Acta 64 (1991), 213–257

    MathSciNet  Google Scholar 

  4. J. Fröhlich: Lectures, Schladming, 1995.

    Google Scholar 

  5. M. J. Feigenbaum: Qualitative Universality for a Class of Nonlinear Transformations. J. Stat. Phys. 19 (1978), 25–52

    Article  MathSciNet  MATH  ADS  Google Scholar 

  6. J. Bricmont, A. Kupiainen: Renormalizing Partial Differential Equations. Commun. Pure. Appl. Math. 47 (1994), 893–922

    Article  MathSciNet  MATH  Google Scholar 

  7. K. G. Wilson, J. Kogut: The Renormalization Group and the ∈-Expansion. Phys. Rep. 12 (1974), 75–200

    Article  ADS  Google Scholar 

  8. K. G. Wilson: The Renormalization Group and Critical Phenomena. Rev. Mod. Phys. 55 (1983), 583–600

    Article  ADS  Google Scholar 

  9. A. N. Kolmogorov: The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds' Numbers, C. R. Acad. Sci. URSS 30 (1941), 301–305

    Google Scholar 

  10. A. M. Obukhov: Structure of the Temperature Field in a Turbulent Flow. Izv. Akad. Nauk SSSR, Geogr. Geofiz. 13 (1949), 58–69

    Google Scholar 

  11. R. H. Kraichnan: Anomalous Scaling of a Randomly Advected Passive Scalar. Phys. Rev. Lett. 72 (1994), 1016–1019

    Article  ADS  Google Scholar 

  12. V. S. L'vov, I. Procaccia A. Fairhall: Anomalous Scaling in Fluid Dynamics: the Case of Passive Scalar. Phys. Rev. E50 (1994), 4684–4704

    Article  ADS  MathSciNet  Google Scholar 

  13. A. Majda: Explicit Inertial Range Renormalization Theory in a Model for Turbulent Diffusion. J. Stat. Phys. 73 (1993), 515–542

    Article  ADS  MathSciNet  MATH  Google Scholar 

  14. M. Chertkov, G. Falkovich, I. Kolokolov, V. Lebedev: Normal and Anomalous Scaling of the Forth-Order Correlation Function of a Randomly Advected Passive Scalar Weizmann Institute preprint, chao-dyn/95030001

    Google Scholar 

  15. A. L. Fairhall, O. Gat, V. L'vov, I. Procaccia: Anomalous Scaling in a Model of Passive Scalar Advection: Exact Results. Weizmann Institute preprint 1995

    Google Scholar 

  16. R. H. Kraichnan, V. Yakhot, S. Chen: Scaling Relations for a Randomly Advected Passive Scalar Field, preprint 1995, submitted to Phys. Rev. Lett.

    Google Scholar 

  17. L. F. Richardson: Weather prediction by numerical process. Cambridge University Press: Cambridge 1922

    MATH  Google Scholar 

  18. U. Frisch: Turbulence: the legacy of A. N. Kolmogorov, Cambridge University Press. Cambridge 1995, to appear

    MATH  Google Scholar 

  19. P. C. Martin, E. D. Siggia, H. A. Rose: Statistical Dynamics of Classical Systems. Phys. Rev. A8 (1973), 423–437

    Article  ADS  Google Scholar 

  20. A. M. Polyakov: The Theory of Turbulence in Two Dimensions. Princeton University preprint, hep-th/9212145

    Google Scholar 

  21. V. I. Belinicher, V. S. L'vov: A Scale Invariant Theory of Fully Developed Hydrodynamic Turbulence. Sov. Phys. JETP 66 (1987), 303–313

    Google Scholar 

  22. V. S. L'vov: Scale Invariant Theory of Fully Developed Hydrodynamic Turbulence-Hamiltonian Approach. Phys. Rep. 207 (1991), 1–47

    Article  ADS  MathSciNet  Google Scholar 

  23. V. S. L'vov, I. Procaccia: Exact Resummation of the Theory of Hydrodynamic Turbulence. I. The Ball of Locality and Normal Scaling. Weizmann Institute preprint (1995), submitted to Phys. Rev. E

    Google Scholar 

  24. J. Glimm, D. H. Sharp: A Random Field Model for Anomalous Diffusion in Heterogeneous Porous Media. J. Stat. Phys. 62 (1991), 415–424

    Article  MathSciNet  MATH  ADS  Google Scholar 

  25. R. H. Kraichnan: Small-Scale Structure of a Scalar Field Convected by Turbulence. Phys. Fluids 11 (1968), 945–963

    Article  MathSciNet  MATH  ADS  Google Scholar 

  26. K. Gawędzki, A. Kupiainen: in preparation

    Google Scholar 

  27. C. E. Gutiérrez, G. S. Nolson: Bounds for the Fundamental Solution of Degenerate Parabolic Equations. Commun. Partial Diff. Eq. 13 (1988), 635–649

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. I.H.E.S., C.N.R.S., F-91440, Bures-sur-Yvette, France

    K. Gawedzki & A. Kupiainen

  2. Math. Department, Helsinki University, PO Box 4, 00014, Helsinki, Finland

    K. Gawedzki & A. Kupiainen

Authors
  1. K. Gawedzki
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  2. A. Kupiainen
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Harald Grosse Ludwig Pittner

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© 1996 Springer-Verlag

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Gawedzki, K., Kupiainen, A. (1996). University in turbulence: An exactly solvable model. In: Grosse, H., Pittner, L. (eds) Low-Dimensional Models in Statistical Physics and Quantum Field Theory. Lecture Notes in Physics, vol 469. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0102553

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  • DOI: https://doi.org/10.1007/BFb0102553

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60990-2

  • Online ISBN: 978-3-540-49778-3

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