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On the energy transfer to small scales in a discrete model of one-dimensional turbulence

Chaos 19, 023123 (2009); doi:10.1063/1.3156729

Published 24 June 2009

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A. Carati,1 L. Galgani,1 and F. Santolini2
1Dipartimento di Matematica, Università di Milano, Via Saldini 50, 20133 Milano, Italy
2Corso di Laurea in Fisica, Università di Milano, Via Celoria 12, 20133 Milano, Italy

We consider a discrete one-dimensional model that was investigated numerically by Daumont and Peyrard [Chaos 13, 624 (2003)] as a model for turbulence in fluids, i.e., for the energy transfer from large to small scales. They found numerically that there exist two different regimes for the energy spectrum at high energies and low energies, respectively, and gave an analytical explanation for the high-energy spectrum. An analytical explanation is given here for the low-energy spectrum, which corresponds to the laminar regime. ©2009 American Institute of Physics
History: Received 23 February 2009; accepted 1 June 2009; published 24 June 2009
Permalink: http://link.aip.org/link/?CHAOEH/19/023123/1
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KEYWORDS and PACS

Keywords
PACS
  • 47.27.E-
    Turbulence simulation and modeling
  • YEAR: 2009

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PUBLICATION DATA

ISSN:
1054-1500 (print)   1089-7682 (online)
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REFERENCES (6)

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  1. I. Daumont and M. Peyrard, Chaos 13, 624 (2003).
  2. M. Peyrard, Physica D 193, 265 (2004).
  3. E. Fucito, F. Marchesoni, E. Marinari, G. Parisi, L. Peliti, S. Ruffo, and A. Vulpiani, J. Phys. (France) 43, 707 (1982).
  4. G. Parisi, Europhys. Lett. 40, 357 (1997).
  5. A. Carati, L. Galgani, and A. Giorgilli, Chaos 15, 015105 (2005).
  6. G. Benettin, A. Carati, L. Galgani, and A. Giorgilli, The Fermi–Pasta–Ulam Problem: A Status Report, Lecture Notes in Physics Vol. 728, edited by G. Gallavotti (Springer-Verlag, Berlin, 2007).

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