A Note on Burgers' turbulence - INSPIRE

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A Note on Burgers' turbulence

S. Boldyrev
(
- Princeton U.
)

Oct, 1996

11 pages

Published in:

Phys.Rev.E 55 (1997) 6907,
Phys.Rev.A 55 (1997) 6907

e-Print:

hep-th/9610080 [hep-th]

DOI:

10.1103/PhysRevE.55.6907

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Abstract:

In this note the Polyakov equation [Phys. Rev. E {\bf 52} (1995) 6183] for the velocity-difference PDF, with the exciting force correlation function

\kappa (y)\sim1-y^{\alpha}

is analyzed. Several solvable cases are considered, which are in a good agreement with available numerical results. Then it is shown how the method developed by A. Polyakov can be applied to turbulence with short-scale-correlated forces, a situation considered in models of self-organized criticality.

Note:

11 pages, Latex Subj-class: High Energy Physics - Theory: Chaotic Dynamics Journal-ref: Phys. Rev. E 55 (1997) 6907

References(6)

Figures(0)

Turbulence without pressure

Alexander M. Polyakov
(
- Princeton U.
)

- Phys.Rev.E 52 (1995) 6, 6183-6188
•
e-Print:
- hep-th/9506189
•
DOI:
- 10.1103/PhysRevE.52.6183

Turbulence without pressure

Alexander M. Polyakov
(
- Princeton U.
)

- Phys.Rev.E 52 (1995) 6, 6183-6188
•
e-Print:
- hep-th/9506189
•
DOI:
- 10.1103/PhysRevE.52.6183

- Phys.Rev.A 45 7002

- Phys.Rev.Lett. 77 15

- Phys.Rev.E 54 4

Instantons in Burgers equation

Victor Gurarie
(
- Princeton U.
)
,
Alexander A. Migdal
(
- Princeton U.
)

- Phys.Rev.E 54 (1996) 4908-4914
•
e-Print:
- hep-th/9512128
•
DOI:
- 10.1103/PhysRevE.54.4908