From scaling to multiscaling in the stochastic Burgers equation

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 56, Issue 4, 1997, Pages 4259-4262

  Hayot, F ^a   Jayaprakash, C ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000492622     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.4259     Document Type: Article

References (14)

1. See, U. Frisch, Turbulence (Cambridge, New York, 1995).
2. J. P. Bouchaud, M. Mézard, and G. Parisi, Phys. Rev. E 52, 3656 (1995).PLEEE8
3. A. Chekhlov and V. Yakhot, Phys. Rev. E 51, R2739 (1995); PLEEE8
4. 52, 5681 (1995).
5. F. Hayot and C. Jayaprakash, Phys. Rev. E 54, 4681 (1996).PLEEE8
6. F. Hayot and C. Jayaprakash, Phys. Rev. E 56, 227 (1997).PLEEE8
7. A. M. Polyakov, Phys. Rev. E 52, 6183 (1995).PLEEE8
8. E. Medina, T. Hwa, M. Kardar, and Y. C. Zhang, Phys. Rev. A 39, 3053 (1989).PLRAAN
9. For details of the spectral code see, for example, C. Basdevant, et al., Comput. Fluids 14, 23 (1986).CPFLBI
10. Strict bifractality, with (Formula presented) occurs only for (Formula presented) As is evident from the discussion of (Formula presented) later, (Formula presented) and it reaches the value 1 only at (Formula presented)
11. In an interesting paper, C.-Y. Mou and P. B. Weichman, Phys. Rev. E 52, 3738 (1995), have investigated the multicomponent ((Formula presented) limit) version of the (Formula presented)-dimensional Navier-Stokes equation for (Formula presented) with noise of the same form as in Eq. (3). They find that for (Formula presented) the system goes through a regime of power-law driven turbulence (Formula presented) to real turbulence for (Formula presented) which resembles our problem although they did not address the issue of multifractality.PLEEE8
12. F. Hayot and C. Jayaprakash (unpublished).
13. In the context of the (Formula presented) Navier-Stokes equation a similar relation has been obtained in V. S. L’vov and I. Procaccia, Phys. Rev. E 54, 6268 (1996).PLEEE8
14. In (Formula presented) there is no such direct contribution since (Formula presented) Here the scaling behavior one can argue arises from subdominant terms in (Formula presented) that are proportional to higher powers of ν.