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Volumn 62, Issue 3 A, 2000, Pages 3592-3610

Instanton calculus in shell models of turbulence

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; MATHEMATICAL MODELS; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES;

EID: 0034272220     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.3592     Document Type: Article
Times cited : (26)

References (37)
  • 1
    • 0019581214 scopus 로고
    • E.D. Siggia, J. Fluid Mech. 107, 375 (1981); Z.-S. She, E. Jackson, and S. Orszag, Proc. R. Soc. London, Ser. A 434, 101 (1991); J. Jiménez, A. Wray, P.G. Saffman, and R. Rogallo, J. Fluid Mech. 255, 65 (1993); F. Belin, J. Maurer, P. Tabeling, and H. Willaime, J. Phys. II 6, 573 (1996).
    • (1981) J. Fluid Mech. , vol.107 , pp. 375
    • Siggia, E.D.1
  • 2
    • 0019581214 scopus 로고
    • E.D. Siggia, J. Fluid Mech. 107, 375 (1981); Z.-S. She, E. Jackson, and S. Orszag, Proc. R. Soc. London, Ser. A 434, 101 (1991); J. Jiménez, A. Wray, P.G. Saffman, and R. Rogallo, J. Fluid Mech. 255, 65 (1993); F. Belin, J. Maurer, P. Tabeling, and H. Willaime, J. Phys. II 6, 573 (1996).
    • (1991) Proc. R. Soc. London, Ser. A , vol.434 , pp. 101
    • She, Z.-S.1    Jackson, E.2    Orszag, S.3
  • 3
    • 0027790757 scopus 로고
    • E.D. Siggia, J. Fluid Mech. 107, 375 (1981); Z.-S. She, E. Jackson, and S. Orszag, Proc. R. Soc. London, Ser. A 434, 101 (1991); J. Jiménez, A. Wray, P.G. Saffman, and R. Rogallo, J. Fluid Mech. 255, 65 (1993); F. Belin, J. Maurer, P. Tabeling, and H. Willaime, J. Phys. II 6, 573 (1996).
    • (1993) J. Fluid Mech. , vol.255 , pp. 65
    • Jiménez, J.1    Wray, A.2    Saffman, P.G.3    Rogallo, R.4
  • 4
    • 0030126135 scopus 로고    scopus 로고
    • E.D. Siggia, J. Fluid Mech. 107, 375 (1981); Z.-S. She, E. Jackson, and S. Orszag, Proc. R. Soc. London, Ser. A 434, 101 (1991); J. Jiménez, A. Wray, P.G. Saffman, and R. Rogallo, J. Fluid Mech. 255, 65 (1993); F. Belin, J. Maurer, P. Tabeling, and H. Willaime, J. Phys. II 6, 573 (1996).
    • (1996) J. Phys. II , vol.6 , pp. 573
    • Belin, F.1    Maurer, J.2    Tabeling, P.3    Willaime, H.4
  • 5
    • 0007259484 scopus 로고    scopus 로고
    • edited by U. Frisch Kluwer Academic, Dordrecht
    • Reviewed by K. Gawedzki in Advances in Turbulence VII, edited by U. Frisch (Kluwer Academic, Dordrecht, 1998), pp. 493-502.
    • (1998) Advances in Turbulence VII , pp. 493-502
    • Gawedzki, K.1
  • 7
    • 6244255994 scopus 로고    scopus 로고
    • E.D. Siggia, Phys. Rev. A 17, 1166 (1978); T. Nakano, Prog. Theor. Phys. 79, 569 (1988); G. Parisi (unpublished).
    • (1978) Phys. Rev. A , vol.17 , pp. 1166
    • Siggia, E.D.1
  • 8
    • 6244255994 scopus 로고    scopus 로고
    • E.D. Siggia, Phys. Rev. A 17, 1166 (1978); T. Nakano, Prog. Theor. Phys. 79, 569 (1988); G. Parisi (unpublished).
    • (1988) Prog. Theor. Phys. , vol.79 , pp. 569
    • Nakano, T.1
  • 9
    • 6244255994 scopus 로고    scopus 로고
    • unpublished
    • E.D. Siggia, Phys. Rev. A 17, 1166 (1978); T. Nakano, Prog. Theor. Phys. 79, 569 (1988); G. Parisi (unpublished).
    • Parisi, G.1
  • 12
    • 0040480908 scopus 로고
    • L.N. Lipatov, Zh. Éksp. Teor. Fiz. Pis'ma Red. 24 179 (1976) [JETP Lett. 24, 157 (1976)]; Zh. Éksp. Teor. Fiz. 71, 2010 (1976) [Sov. Phys. JETP 44, 1055 (1976)]; Pis'ma Red. Zh. Éksp. Teor. Fiz. 25, 116 (1977) [JETP Lett. 25, 104 (1997)]; Zh. Éksp. Teor. Fiz. 72, 411 (1977) [Sov. Phys. JETP 45, 216 (1977)].
    • (1976) Zh. Éksp. Teor. Fiz. Pis'ma Red. , vol.24 , pp. 179
    • Lipatov, L.N.1
  • 13
    • 0001422206 scopus 로고
    • L.N. Lipatov, Zh. Éksp. Teor. Fiz. Pis'ma Red. 24 179 (1976) [JETP Lett. 24, 157 (1976)]; Zh. Éksp. Teor. Fiz. 71, 2010 (1976) [Sov. Phys. JETP 44, 1055 (1976)]; Pis'ma Red. Zh. Éksp. Teor. Fiz. 25, 116 (1977) [JETP Lett. 25, 104 (1997)]; Zh. Éksp. Teor. Fiz. 72, 411 (1977) [Sov. Phys. JETP 45, 216 (1977)].
    • (1976) JETP Lett. , vol.24 , pp. 157
  • 14
    • 0342395239 scopus 로고
    • L.N. Lipatov, Zh. Éksp. Teor. Fiz. Pis'ma Red. 24 179 (1976) [JETP Lett. 24, 157 (1976)]; Zh. Éksp. Teor. Fiz. 71, 2010 (1976) [Sov. Phys. JETP 44, 1055 (1976)]; Pis'ma Red. Zh. Éksp. Teor. Fiz. 25, 116 (1977) [JETP Lett. 25, 104 (1997)]; Zh. Éksp. Teor. Fiz. 72, 411 (1977) [Sov. Phys. JETP 45, 216 (1977)].
    • (1976) Zh. Éksp. Teor. Fiz. , vol.71 , pp. 2010
  • 15
    • 0001696735 scopus 로고
    • L.N. Lipatov, Zh. Éksp. Teor. Fiz. Pis'ma Red. 24 179 (1976) [JETP Lett. 24, 157 (1976)]; Zh. Éksp. Teor. Fiz. 71, 2010 (1976) [Sov. Phys. JETP 44, 1055 (1976)]; Pis'ma Red. Zh. Éksp. Teor. Fiz. 25, 116 (1977) [JETP Lett. 25, 104 (1997)]; Zh. Éksp. Teor. Fiz. 72, 411 (1977) [Sov. Phys. JETP 45, 216 (1977)].
    • (1976) Sov. Phys. JETP , vol.44 , pp. 1055
  • 16
    • 9944259191 scopus 로고
    • L.N. Lipatov, Zh. Éksp. Teor. Fiz. Pis'ma Red. 24 179 (1976) [JETP Lett. 24, 157 (1976)]; Zh. Éksp. Teor. Fiz. 71, 2010 (1976) [Sov. Phys. JETP 44, 1055 (1976)]; Pis'ma Red. Zh. Éksp. Teor. Fiz. 25, 116 (1977) [JETP Lett. 25, 104 (1997)]; Zh. Éksp. Teor. Fiz. 72, 411 (1977) [Sov. Phys. JETP 45, 216 (1977)].
    • (1977) Pis'ma Red. Zh. Éksp. Teor. Fiz. , vol.25 , pp. 116
  • 17
    • 0343264897 scopus 로고    scopus 로고
    • L.N. Lipatov, Zh. Éksp. Teor. Fiz. Pis'ma Red. 24 179 (1976) [JETP Lett. 24, 157 (1976)]; Zh. Éksp. Teor. Fiz. 71, 2010 (1976) [Sov. Phys. JETP 44, 1055 (1976)]; Pis'ma Red. Zh. Éksp. Teor. Fiz. 25, 116 (1977) [JETP Lett. 25, 104 (1997)]; Zh. Éksp. Teor. Fiz. 72, 411 (1977) [Sov. Phys. JETP 45, 216 (1977)].
    • (1997) JETP Lett. , vol.25 , pp. 104
  • 18
    • 0001587767 scopus 로고
    • L.N. Lipatov, Zh. Éksp. Teor. Fiz. Pis'ma Red. 24 179 (1976) [JETP Lett. 24, 157 (1976)]; Zh. Éksp. Teor. Fiz. 71, 2010 (1976) [Sov. Phys. JETP 44, 1055 (1976)]; Pis'ma Red. Zh. Éksp. Teor. Fiz. 25, 116 (1977) [JETP Lett. 25, 104 (1997)]; Zh. Éksp. Teor. Fiz. 72, 411 (1977) [Sov. Phys. JETP 45, 216 (1977)].
    • (1977) Zh. Éksp. Teor. Fiz. , vol.72 , pp. 411
  • 19
    • 0001044818 scopus 로고
    • L.N. Lipatov, Zh. Éksp. Teor. Fiz. Pis'ma Red. 24 179 (1976) [JETP Lett. 24, 157 (1976)]; Zh. Éksp. Teor. Fiz. 71, 2010 (1976) [Sov. Phys. JETP 44, 1055 (1976)]; Pis'ma Red. Zh. Éksp. Teor. Fiz. 25, 116 (1977) [JETP Lett. 25, 104 (1997)]; Zh. Éksp. Teor. Fiz. 72, 411 (1977) [Sov. Phys. JETP 45, 216 (1977)].
    • (1977) Sov. Phys. JETP , vol.45 , pp. 216
  • 29
    • 0000840262 scopus 로고
    • P.C. Martin, E. Siggia, and H. Rose, Phys. Rev. A 8, 423 (1973); C. de Dominicis, J. Phys. (France) 37, 247 (1976); H. Janssen, Z. Phys. B 23, 377 (1976).
    • (1973) Phys. Rev. A , vol.8 , pp. 423
    • Martin, P.C.1    Siggia, E.2    Rose, H.3
  • 30
    • 0000840262 scopus 로고
    • France
    • P.C. Martin, E. Siggia, and H. Rose, Phys. Rev. A 8, 423 (1973); C. de Dominicis, J. Phys. (France) 37, 247 (1976); H. Janssen, Z. Phys. B 23, 377 (1976).
    • (1976) J. Phys. , vol.37 , pp. 247
    • De Dominicis, C.1
  • 31
    • 0000010252 scopus 로고
    • P.C. Martin, E. Siggia, and H. Rose, Phys. Rev. A 8, 423 (1973); C. de Dominicis, J. Phys. (France) 37, 247 (1976); H. Janssen, Z. Phys. B 23, 377 (1976).
    • (1976) Z. Phys. B , vol.23 , pp. 377
    • Janssen, H.1
  • 35
    • 0342395232 scopus 로고    scopus 로고
    • note
    • Actually, this change of variable is not strictly necessary. It may be shown to roughly "square root" the range of values spanned by the coefficients of matrices U and W introduced in Sec. V A. The ensuing reduction of numerical stiffness allows computations at larger sizes of the shell lattice. However, the switch from δb to h gets totally impracticable when the matrix B cannot be easily inverted.


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