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2
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85037486656
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note
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They also considered a Model C, involving band-limited forcing. They showed that the long-wavelength behavior of that model was the same as that of Model A.
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9
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0001466688
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edited by A. A. Galeev and R. N. Sudan North-Holland, Amsterdam, Chap. 5-5
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J. A. Krommes, in Handbook of Plasma Physics, edited by A. A. Galeev and R. N. Sudan (North-Holland, Amsterdam, 1984), Vol. 2, Chap. 5-5, p. 183.
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Krommes, J.A.1
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12
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0001989982
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edited by L. Sirovich Springer, New York, Chap. 1
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R. H. Kraichnan, in New Perspectives in Turbulence, edited by L. Sirovich (Springer, New York, 1991), Chap. 1, p. 1.
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(1991)
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Kraichnan, R.H.1
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13
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0002344573
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edited by R. Balian and J.-L. Peube Gordon and Breach, New York
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S. A. Orszag, in Fluid Dynamics, edited by R. Balian and J.-L. Peube (Gordon and Breach, New York, 1977), p. 235.
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Orszag, S.A.1
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15
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85037489010
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Ph.D. thesis, Princeton University
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J. C. Bowman, Ph.D. thesis, Princeton University, 1992.
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(1992)
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Bowman, J.C.1
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17
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85037483690
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note
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The EDQNM fails in the presence of linear waves because statistical realizability breaks down. The Realizable Markovian Closure (Ref. 16), which corrects that deficiency, reduces by construction to the EDQNM for the present Burgers model (whose linear dynamics are purely dissipative).
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19
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85037490401
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note
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2) term is treated as negligible in the absence of vertex renormalization.
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20
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85037466423
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note
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-2 ln((k+q)lq).
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24
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0000521325
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Many of the detailed mathematical calculations in Ref. 23, which rely on a calculation of trajectory divergence to predict macroscopic spectral effects, are incorrect. An exactly solvable model that pinpoints the flaw in the logic was discussed by J. A. Krommes, Phys. Plasmas 4, 655 (1997). However, the basically dimensional result, that sufficiently large shear reduces transport, is upheld by more systematic calculations.
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Phys. Plasmas
, vol.4
, pp. 655
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Krommes, J.A.1
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25
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85037479073
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note
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k is diffusive. The definitions (18) are also derived in that limit, although formula (18b) is a valid dimensionless parameter in all regimes.
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27
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3843140989
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J. A Krommes, Bull. Am. Phys. Soc. 44, 289 (1999); "The roles of shear and cross-correlations on the fluctuation levels in simple stochastic models," Phys. Plasmas (in press).
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Krommes, J.A.1
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28
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85037468891
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The roles of shear and cross-correlations on the fluctuation levels in simple stochastic models
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in press
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J. A Krommes, Bull. Am. Phys. Soc. 44, 289 (1999); "The roles of shear and cross-correlations on the fluctuation levels in simple stochastic models," Phys. Plasmas (in press).
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Phys. Plasmas
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30
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36849142102
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R. H. Kraichnan, J. Math. Phys. 2, 124 (1961); 3, 205 (1962).
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