Perturbation theory for the δ-correlated model of passive scalar advection near the batchelor limit

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

Volumn 55, Issue 2, 1997, Pages R1263-R1266

  Pumir, Alain ^a   Shraiman, Boris I ^b   Siggia, Eric D ^c  

^a INSTITUT NON LINÉAIRE DE NICE   (France)

^b LUCENT TECHNOLOGIES   (United States)

^c Laboratory of Atomic and Solid State Physics and Sibley School of Mechanical and Aerospace Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041783176     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.R1263     Document Type: Article

References (23)

1. R H. Kraichnan, Phys. Rev. Lett. PRLTAO72, 1016(1994).
2. R H. Kraichnan, Phys. Fluids PFLDAS11, 945(1968).
3. K. Gaw̧edzki and A. Kupiainen, Phys. Rev. Lett. PRLTAO75, 3834(1995).
4. M. Chertkov Phys. Rev. E PLEEE852, 4924(1995).
5. B I. Shraiman and E. D. Siggia, C.R. Acad. Sci. Ser. A CHASAP321, Ser. IIb, 279 (1995).
6. B I. Shraiman and E. D. Siggia, Phys. Rev. E PLEEE849, 2912(1994)
7. R H. Kraichnan, V. Yakhot, and S. Chen, Phys. Rev. Lett. PRLTAO75, 240(1995).
8. R H. Kraichnan, J. Fluid Mech. JFLSA764, 737(1974).
9. B I. Shraiman and E. D. Siggia, Phys. Rev. Lett. PRLTAO77, 2463(1996).
10. A. Pumir, Europhys. Lett. EULEEJ34, 25(1996).
11. D. Gutman and E. Balkovsky, Phys. Rev. E PLEEE854, 4435(1996).
12. S. Corrsin, NACA Res. Memo. RM58B11 (1958).
13. J L. Lumley, Phys. Fluids PFLDAS10, 855(1967).
14. R A. Antonia and C. W. Van Atta, J. Fluid Mech. JFLSA784, 561(1980).
15. G K. Batchelor, J. Fluid Mech. JFLSA75, 113(1959).
16. See also E. BalkovskyJETP Lett. JTPLA261, 1021(1995), who investigated the 4 point correlator.
17. L. Landau and E. Lifshitz, Quantum Mechanics (Pergamon Press, New York, 1986).
18. G. Vilenkin, Representations of Groups and Special Functions (Kluwer Academic, Dordrecht, 1991).
19. K R. Sreenivasan, Proc. R. Soc. London, Ser. A PRLAAZ434, 165(1991).
20. C. Tong and Z. Warhaft, Phys. Fluids PFLDAS6, 2165(1994).
21. M. Holzer and E. D. Siggia, Phys. Fluids PFLDAS6, 1820(1994).
22. A. Pumir, Phys. Fluids PFLDAS6, 2118(1994).
23. A. Pumir and B. I. Shraiman, Phys. Rev. Lett. PRLTAO75, 3114(1995).