PMID: 11909242Mar 23, 2002Paper

Critical "dimension" in shell model turbulence

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
P GiulianiV Yakhot

Abstract

We investigate the Gledzer-Ohkitani-Yamada (GOY) shell model within the scenario of a critical dimension in fully developed turbulence. By changing the conserved quantities, one can continuously vary an "effective dimension" between d=2 and d=3. We identify a critical point between these two situations where the flux of energy changes sign and the helicity flux diverges. Close to the critical point the energy spectrum exhibits a turbulent scaling regime followed by a plateau of thermal equilibrium. The corrections due to intermittency persist close to the critical point. We identify scaling laws and perform a rescaling argument to derive a relation between the critical exponents. We further discuss the distribution function of the energy flux.

References

Jan 15, 1991·Physical Review. a·M H JensenA Vulpiani
Dec 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·E AurellA Vulpiani
Dec 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·A M Polyakov
May 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·P D Ditlevsen, I A Mogensen
Apr 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V Yakhot
Apr 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P D Ditlevsen, P Giuliani

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Citations

May 21, 2010·Physical Review Letters·Antonio CelaniDario Vincenzi
Apr 30, 2016·The European Physical Journal. E, Soft Matter·Alessandra S LanotteLuca Biferale
Dec 11, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Kannabiran SeshasayananAlexandros Alexakis
Jan 15, 2016·Physical Review Letters·Alessandra S LanotteLuca Biferale
Mar 17, 2017·Physical Review. E·Mani Fathali, Saber Khoei
Nov 15, 2016·Physical Review. E·Vishwanath Shukla, Rahul Pandit
Dec 15, 2016·Physical Review. E·Samriddhi Sankar RayRahul Pandit

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