Turbulence and coarsening in active and passive binary mixtures

Physical Review Letters

Volumn 95, Issue 22, 2005, Pages

  Berti, S ^a   Boffetta, G ^a   Cencini, M ^b,d   Vulpiani, A ^c,d  

^a UNIVERSITY OF TURIN   (Italy)

^b ISC CNR   (Italy)

^c UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

^d INFM SMC   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CAHN-HILLIARD EQUATIONS; FINITE DOMAINS; PASSIVE MIXTURES; PHASE ORDERING PROCESS;

CHAOS THEORY; FLUID DYNAMICS; NAVIER STOKES EQUATIONS; PHASE SEPARATION; TURBULENCE; TWO DIMENSIONAL;

BINARY MIXTURES;

EID: 28844450628     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.95.224501     Document Type: Article

References (31)

1. H. Furukawa, Adv. Phys. 43, 357 (1994); ADPHAH 0001-8732 10.1080/00018739400101505
2. A.J. Bray, Adv. Phys. 51, 481 (2002). ADPHAH 0001-8732 10.1080/00018730110117433
3. E.D. Siggia, Phys. Rev. A 20, 595 (1979). PLRAAN 1050-2947 10.1103/PhysRevA.20.595
4. V.M. Kendon, M.E. Cates, I. Pagonabarraga, J.C. Desplat, and P. Blandon, J. Fluid Mech. 440, 147 (2001). JFLSA7 0022-1120 10.1017/S0022112001004682
5. A.J. Wagner and J.M. Yeomans, Phys. Rev. Lett. 80, 1429 (1998); PRLTAO 0031-9007 10.1103/PhysRevLett.80.1429
6. J.M. Yeomans, Annual Reviews of Computational Physics, edited by, D. Stauffer, (World Scientific, Singapore, 2000), Vol. VII, p. 61.
7. A. Onuki, J. Phys. Condens. Matter 9, 6119 (1997). JCOMEL 0953-8984 10.1088/0953-8984/9/29/001
8. R. Ruiz and D.R. Nelson, Phys. Rev. A 23, 3224 (1981); PLRAAN 1050-2947 10.1103/PhysRevA.23.3224
9. J.A. Aronovitz and D.R. Nelson, Phys. Rev. A 29, 2012 (1984). PLRAAN 1050-2947 10.1103/PhysRevA.29.2012
10. A. Onuki, Phys. Lett. 101A, 286 (1984). PYLAAG 0375-9601 10.1016/0375-9601(84)90873-9
11. M.E. Cates, V.M. Kendon, P. Bladon, and J.C. Desplat, Faraday Discuss. 112, 1 (1999). FDISE6 0301-7249 10.1039/a903105g
12. F. Corberi, G. Gonnella, and A. Lamura, Phys. Rev. Lett. 81, 3852 (1998); PRLTAO 0031-9007 10.1103/PhysRevLett.81.3852
13. F. Corberi G. Gonnella A. Lamura Phys. Rev. E 61, 6621 (2000). PLEEE8 1063-651X 10.1103/PhysRevE.61.6621
14. L. Berthier, Phys. Rev. E 63, 051503 (2001). PLEEE8 1063-651X 10.1103/PhysRevE.63.051503
15. T. Hashimoto, K. Matsuzaka, E. Moses, and A. Onuki, Phys. Rev. Lett. 74, 126 (1995); PRLTAO 0031-9007 10.1103/PhysRevLett.74.126
16. Z. Shou and A. Chakrabarti, Phys. Rev. E 61, R2200 (2000). PLEEE8 1063-651X 10.1103/PhysRevE.61.R2200
17. D.J. Pine, N. Easwar, J.V. Maher, and W.I. Goldburg, Phys. Rev. A 29, 308 (1984). PLRAAN 1050-2947 10.1103/PhysRevA.29.308
18. C.K. Chan, W.I. Goldburg, and J.V. Maher, Phys. Rev. A 35, 1756 (1987); PLRAAN 1050-2947 10.1103/PhysRevA.35.1756
19. P. Tong, W.I. Goldburg, J. Stavans, and A. Onuki, Phys. Rev. Lett. 62, 2668 (1989). PRLTAO 0031-9007 10.1103/PhysRevLett.62.2668
20. K.Y. Min, J. Stavans, R. Piazza, and W.I. Goldburg, Phys. Rev. Lett. 63, 1070 (1989); PRLTAO 0031-9007 10.1103/PhysRevLett.63.1070
21. K.Y. Min and W.I. Goldburg, Phys. Rev. Lett. 70, 469 (1993). PRLTAO 0031-9007 10.1103/PhysRevLett.70.469
22. F.J. Muzzio, M. Tjahjadi, and J.M. Ottino, Phys. Rev. Lett. 67, 54 (1991). PRLTAO 0031-9007 10.1103/PhysRevLett.67.54
23. A.M. Lacasta, J.M. Sancho, and F. SaguÃs, Phys. Rev. Lett. 75, 1791 (1995). PRLTAO 0031-9007 10.1103/PhysRevLett.75.1791
24. L. Berthier, J.-L. Barrat, and J. Kurchan, Phys. Rev. Lett. 86, 2014 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.86.2014
25. A. Crisanti, M. Falcioni, G. Paladin, and A. Vulpiani, Riv. Nuovo Cimento RNUCAC 0035-5917 14, 1 (1991).
26. H. Tanaka, Phys. Rev. Lett. 72, 3690 (1994); PRLTAO 0031-9007 10.1103/PhysRevLett.72.3690
27. H. Tanaka and T. Araki, Phys. Rev. Lett. 81, 389 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.81.389
28. G. Satten and D. Ronis, Phys. Rev. Lett. 55, 91 (1985). PRLTAO 0031-9007 10.1103/PhysRevLett.55.91
29. Measures based on the correlation function, C(r,t)=âÎ(x,t) Îx+r)â©, or on the spherically averaged wave number weighted with the structure factor, i.e., L(t)=S[âdkkqS(k,t)/âdkS(k,t)]-1/q [being S(k,t)=â|Î(k,t)|2â©|k|=k] give equivalent results. See H. Furukawa, Phys. Rev. E 61, 1423 (2000) for a discussion on the different definitions. At large times, finite size effects spoil the scaling laws. PLEEE8 1063-651X 10.1103/PhysRevE.61.1423
30. R. Kraichnan, Phys. Fluids PFLDAS 0031-9171 10, 1417 (1967). 10.1063/1.1762301
31. K. Nam, E. Ott, T.M. Antonsen, and P.N. Guzdar, Phys. Rev. Lett. 84, 5134 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.84.5134