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Volumn 68, Issue 4 2, 2003, Pages 461081-461089

Nonlinear stochastic equations with calculable steady states

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; CRYSTALLINE MATERIALS; DISLOCATIONS (CRYSTALS); NONLINEAR EQUATIONS; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; TEXTURES;

EID: 0346935063     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (9)

References (42)
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  • 20
    • 0043087079 scopus 로고    scopus 로고
    • The extension of fluctuation-dissipation conditions to other nonequilibrium systems has proven a valuable theoretical approach. In the context of glasses, e.g., see L.F. Cugliandolo and J. Kurchan, Phys. Rev. Lett. 71, 173 (1993); J.-P. Bouchaud, L.F. Cugliandolo, J. Kurchan, and M.Mézard, in Spin Glasses and Random Systems, edited by A.P. Young (World Scientific, Singapore, 1998).
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 173
    • Cugliandolo, L.F.1    Kurchan, J.2
  • 21
    • 0043087079 scopus 로고    scopus 로고
    • edited by A.P. Young (World Scientific, Singapore)
    • The extension of fluctuation-dissipation conditions to other nonequilibrium systems has proven a valuable theoretical approach. In the context of glasses, e.g., see L.F. Cugliandolo and J. Kurchan, Phys. Rev. Lett. 71, 173 (1993); J.-P. Bouchaud, L.F. Cugliandolo, J. Kurchan, and M.Mézard, in Spin Glasses and Random Systems, edited by A.P. Young (World Scientific, Singapore, 1998).
    • (1998) Spin Glasses and Random Systems
    • Bouchaud, J.-P.1    Cugliandolo, L.F.2    Kurchan, J.3    Mézard, M.4
  • 27
    • 33645056519 scopus 로고    scopus 로고
    • note
    • For correlated noise, it is often possible to diagonalize the correlator by a rotation in h space.
  • 28
    • 33645072521 scopus 로고    scopus 로고
    • note
    • α. This additional richness of the theory already at the linear level deserves a separate study that lies beyond the scope of this paper.
  • 29
    • 0036731638 scopus 로고    scopus 로고
    • In a recent study, U.C. Täuber and E. Frey, Europhys. Lett. 59, 655 (2002), a renormalization group calculation is performed on an extension of Eq. (10) to higher spatial dimensions. Consistent with our discussion, no stable linear fixed point is found.
    • (2002) Europhys. Lett. , vol.59 , pp. 655
    • Täuber, U.C.1    Frey, E.2
  • 30
    • 33645068001 scopus 로고    scopus 로고
    • note
    • In comparing with the fluctuation-dissipation condition given in Ref. [17], one should account for the values of the temperatures (noise correlators) which were scaled out to unity in Sec. IV.
  • 31
    • 33646950376 scopus 로고
    • R.H. Kraichnan, Phys. Fluids 11, 945 (1968); J. Fluid Mech. 64, 737 (1974).
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    • Kraichnan, R.H.1
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  • 33
    • 0003456257 scopus 로고
    • Cambridge University Press, Cambridge
    • For recent reviews on the random advection of a passive scalar, see, e.g., U. Frisch, Turbulence: the Legacy of A.N. Kolmogorov (Cambridge University Press, Cambridge, 1995); B.I. Shraiman and E.D. Siggia, Nature (London) 405, 639 (2000); D. Bernard, e-print cond-mat/0007106.
    • (1995) Turbulence: The Legacy of A.N. Kolmogorov
    • Frisch, U.1
  • 34
    • 0034621898 scopus 로고    scopus 로고
    • For recent reviews on the random advection of a passive scalar, see, e.g., U. Frisch, Turbulence: the Legacy of A.N. Kolmogorov (Cambridge University Press, Cambridge, 1995); B.I. Shraiman and E.D. Siggia, Nature (London) 405, 639 (2000); D. Bernard, e-print cond-mat/0007106.
    • (2000) Nature (London) , vol.405 , pp. 639
    • Shraiman, B.I.1    Siggia, E.D.2
  • 35
    • 33645078964 scopus 로고    scopus 로고
    • e-print cond-mat/0007106
    • For recent reviews on the random advection of a passive scalar, see, e.g., U. Frisch, Turbulence: the Legacy of A.N. Kolmogorov (Cambridge University Press, Cambridge, 1995); B.I. Shraiman and E.D. Siggia, Nature (London) 405, 639 (2000); D. Bernard, e-print cond-mat/0007106.
    • Bernard, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.