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Volumn 69, Issue 6 1, 2004, Pages

Broad relaxation spectrum and the field theory of glassy dynamics for pinned elastic systems

Author keywords

[No Author keywords available]

Indexed keywords

ATMOSPHERICS; CORRELATION METHODS; DEGREES OF FREEDOM (MECHANICS); GLASS; HYDROELASTICITY; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; RELAXATION PROCESSES; THERMAL DIFFUSION IN LIQUIDS; VECTORS;

EID: 37649031546     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.061107     Document Type: Article
Times cited : (25)

References (72)
  • 2
    • 0043087079 scopus 로고
    • L. F. Cugliandolo and J. Kurchan, Phys. Rev. Lett. 71, 173 (1993); J. Phys. A 27, 5749 (1994); H. Kinzelbach and H. Horner, J. Phys. I 3, 1329 (1993) ; 3, 1901 (1993).
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 173
    • Cugliandolo, L.F.1    Kurchan, J.2
  • 3
    • 0043087079 scopus 로고
    • L. F. Cugliandolo and J. Kurchan, Phys. Rev. Lett. 71, 173 (1993); J. Phys. A 27, 5749 (1994); H. Kinzelbach and H. Horner, J. Phys. I 3, 1329 (1993) ; 3, 1901 (1993).
    • (1994) J. Phys. A , vol.27 , pp. 5749
  • 4
    • 0043087079 scopus 로고
    • L. F. Cugliandolo and J. Kurchan, Phys. Rev. Lett. 71, 173 (1993); J. Phys. A 27, 5749 (1994); H. Kinzelbach and H. Horner, J. Phys. I 3, 1329 (1993) ; 3, 1901 (1993).
    • (1993) J. Phys. I , vol.3 , pp. 1329
    • Kinzelbach, H.1    Horner, H.2
  • 5
    • 0043087079 scopus 로고
    • L. F. Cugliandolo and J. Kurchan, Phys. Rev. Lett. 71, 173 (1993); J. Phys. A 27, 5749 (1994); H. Kinzelbach and H. Horner, J. Phys. I 3, 1329 (1993) ; 3, 1901 (1993).
    • (1993) J. Phys. I , vol.3 , pp. 1901
  • 9
    • 0001134242 scopus 로고
    • M. Feigelman and V. M. Vinokur, J. Phys. (France) 49, 1731 (1988); J.-P. Bouchaud, J. Phys. I 2, 1705 (1992).
    • (1992) J. Phys. I , vol.2 , pp. 1705
    • Bouchaud, J.-P.1
  • 10
    • 0345924120 scopus 로고
    • P. Sibani, Phys. Rev. B 35, 8572 (1987); K. H. Hoffmann and P. Sibani, Z. Phys. B: Condens. Matter 80, 429 (1990).
    • (1987) Phys. Rev. B , vol.35 , pp. 8572
    • Sibani, P.1
  • 13
    • 0035682422 scopus 로고    scopus 로고
    • D. S. Fisher, P. Le Doussal, and C. Monthus, Phys. Rev. Lett. 80, 3539 (1998); Phys. Rev. E 64, 066107 (2001).
    • (2001) Phys. Rev. E , vol.64 , pp. 066107
  • 18
    • 0001129925 scopus 로고    scopus 로고
    • edited by A. P. Young (World Scientific, Singapore)
    • T. Nattermann, in Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore, 1998), p. 277.
    • (1998) Spin Glasses and Random Fields , pp. 277
    • Nattermann, T.1
  • 26
    • 35949005723 scopus 로고
    • O. Narayan and D. S. Fisher, Phys. Rev. B 46, 11 520 (1992); 48, 7030 (1993).
    • (1993) , vol.48 , pp. 7030
  • 29
    • 0035243002 scopus 로고    scopus 로고
    • P. Chauve, P. Le Doussal, and K. J. Wiese, Phys. Rev. Lett. 86, 1785 (2001); P. Le Doussal, K. J. Wiese, and P. Chauve, cond-mat/0205108; Phys. Rev. B 66, 174201 (2002); cond-mat/ 0304614.
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 1785
    • Chauve, P.1    Le Doussal, P.2    Wiese, K.J.3
  • 30
    • 0035243002 scopus 로고    scopus 로고
    • P. Le Doussal, K. J. Wiese, and P. Chauve, cond-mat/0205108
    • P. Chauve, P. Le Doussal, and K. J. Wiese, Phys. Rev. Lett. 86, 1785 (2001); P. Le Doussal, K. J. Wiese, and P. Chauve, cond-mat/0205108; Phys. Rev. B 66, 174201 (2002); cond-mat/ 0304614.
  • 31
    • 0036871336 scopus 로고    scopus 로고
    • cond-mat/ 0304614
    • P. Chauve, P. Le Doussal, and K. J. Wiese, Phys. Rev. Lett. 86, 1785 (2001); P. Le Doussal, K. J. Wiese, and P. Chauve, cond-mat/0205108; Phys. Rev. B 66, 174201 (2002); cond-mat/ 0304614.
    • (2002) Phys. Rev. B , vol.66 , pp. 174201
  • 33
    • 0034261246 scopus 로고    scopus 로고
    • P. Chauve, T. Giamarchi, and P. Le Doussal, Europhys. Lett. 44, 110 (1998); Phys. Rev. B 62, 6241 (2000).
    • (2000) Phys. Rev. B , vol.62 , pp. 6241
  • 34
    • 33645053266 scopus 로고    scopus 로고
    • L. Balents and P. Le Doussal (in preparation)
    • L. Balents and P. Le Doussal (in preparation).
  • 35
    • 33645089443 scopus 로고    scopus 로고
    • L. Balents and P. Le Doussal, cond-mat/0205358
    • L. Balents and P. Le Doussal, cond-mat/0205358.
  • 36
    • 33645079925 scopus 로고    scopus 로고
    • D. A. Gorokhov, D. S. Fisher, and G. Blatter, cond-mat/ 0205416
    • D. A. Gorokhov, D. S. Fisher, and G. Blatter, cond-mat/ 0205416.
  • 37
    • 0000866011 scopus 로고
    • T. Nattermann, Europhys. Lett. 4, 1241 (1987); L. B. Ioffe and V. M. Vinokur, J. Phys. C 20, 6149 (1987); T. Nattermann, Y. Shapir, and I. Vilfan, Phys. Rev. B 42, 8577 (1990); V. B. Geshkenbein, A. I. Larkin, and V. Vinokur, Phys. Rev. Lett. 63, 2303 (1989).
    • (1987) Europhys. Lett. , vol.4 , pp. 1241
    • Nattermann, T.1
  • 38
    • 0001605720 scopus 로고
    • T. Nattermann, Europhys. Lett. 4, 1241 (1987); L. B. Ioffe and V. M. Vinokur, J. Phys. C 20, 6149 (1987); T. Nattermann, Y. Shapir, and I. Vilfan, Phys. Rev. B 42, 8577 (1990); V. B. Geshkenbein, A. I. Larkin, and V. Vinokur, Phys. Rev. Lett. 63, 2303 (1989).
    • (1987) J. Phys. C , vol.20 , pp. 6149
    • Ioffe, L.B.1    Vinokur, V.M.2
  • 39
    • 35949008224 scopus 로고
    • T. Nattermann, Europhys. Lett. 4, 1241 (1987); L. B. Ioffe and V. M. Vinokur, J. Phys. C 20, 6149 (1987); T. Nattermann, Y. Shapir, and I. Vilfan, Phys. Rev. B 42, 8577 (1990); V. B. Geshkenbein, A. I. Larkin, and V. Vinokur, Phys. Rev. Lett. 63, 2303 (1989).
    • (1990) Phys. Rev. B , vol.42 , pp. 8577
    • Nattermann, T.1    Shapir, Y.2    Vilfan, I.3
  • 40
    • 33645057476 scopus 로고
    • T. Nattermann, Europhys. Lett. 4, 1241 (1987); L. B. Ioffe and V. M. Vinokur, J. Phys. C 20, 6149 (1987); T. Nattermann, Y. Shapir, and I. Vilfan, Phys. Rev. B 42, 8577 (1990); V. B. Geshkenbein, A. I. Larkin, and V. Vinokur, Phys. Rev. Lett. 63, 2303 (1989).
    • (1989) Phys. Rev. Lett. , vol.63 , pp. 2303
    • Geshkenbein, V.B.1    Larkin, A.I.2    Vinokur, V.3
  • 41
    • 0035116551 scopus 로고    scopus 로고
    • See e.g., A. A. Middleton, Phys. Rev. B 63, 60202 (2001); T. Hwa and D. S. Fisher, ibid. 49, 3136 (1994).
    • (2001) Phys. Rev. B , vol.63 , pp. 60202
    • Middleton, A.A.1
  • 42
    • 0001016480 scopus 로고
    • See e.g., A. A. Middleton, Phys. Rev. B 63, 60202 (2001); T. Hwa and D. S. Fisher, ibid. 49, 3136 (1994).
    • (1994) Phys. Rev. B , vol.49 , pp. 3136
    • Hwa, T.1    Fisher, D.S.2
  • 46
    • 0001763637 scopus 로고
    • M. Mézard and G. Parisi, J. Phys. I 1, 809 (1991); L. Cugliandolo et al., Phys. Rev. Lett. 76, 2390 (1996).
    • (1991) J. Phys. I , vol.1 , pp. 809
    • Mézard, M.1    Parisi, G.2
  • 47
    • 0000753090 scopus 로고    scopus 로고
    • M. Mézard and G. Parisi, J. Phys. I 1, 809 (1991); L. Cugliandolo et al., Phys. Rev. Lett. 76, 2390 (1996).
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 2390
    • Cugliandolo, L.1
  • 49
    • 33646259400 scopus 로고
    • D. S. Fisher, Phys. Rev. B 31, 1396 (1985); J. Vannimenus and B. Derrida, J. Stat. Phys. 105, 1 (2001).
    • (1985) Phys. Rev. B , vol.31 , pp. 1396
    • Fisher, D.S.1
  • 52
    • 0000010252 scopus 로고
    • P. C. Martin, E. D. Siggia, and H. A. Rose, Phys. Rev. A 8, 423 (1973); H. K. Janssen, Z. Phys. B 23, 377 (1976).
    • (1976) Z. Phys. B , vol.23 , pp. 377
    • Janssen, H.K.1
  • 53
    • 33645094678 scopus 로고    scopus 로고
    • note
    • Except for the massless q=0 mode, which is not important.
  • 54
    • 33645063225 scopus 로고    scopus 로고
    • note
    • 2.
  • 55
    • 33645074952 scopus 로고    scopus 로고
    • note
    • In that case D >
  • 56
    • 33645063739 scopus 로고    scopus 로고
    • note
    • k,l(iω) and only n ≥ 2 vertices].
  • 57
    • 33645048740 scopus 로고    scopus 로고
    • G. Schehr and P. Le Doussal, cond-mat/0304486
    • G. Schehr and P. Le Doussal, cond-mat/0304486; P. Chauve et al., Phys. Rev. E 64, 051102 (2001).
  • 58
    • 0035510564 scopus 로고    scopus 로고
    • G. Schehr and P. Le Doussal, cond-mat/0304486; P. Chauve et al., Phys. Rev. E 64, 051102 (2001).
    • (2001) Phys. Rev. E , vol.64 , pp. 051102
    • Chauve, P.1
  • 59
    • 33645068209 scopus 로고    scopus 로고
    • note
    • 2 to η to two loops.
  • 60
    • 33645071957 scopus 로고    scopus 로고
    • note
    • rt at the boundary. This is relevant also for the disorder case, since averaging over disorder one gets, an m=2 term with C a first derivative, B=C′/2 and A=0. This indeed is the condition for invariance of the m-1 term under the continuous global λ symmetry.
  • 61
    • 33645064299 scopus 로고    scopus 로고
    • note
    • r,-t. This is a symmetry of the unaveraged dynamical effective action. It is useful, e.g., to study [50] consequences of the accidental FDT property of the one-dimensional KPZ equation. It seems however a priori less useful in order to study the effective action once one integrates over modes, i.e., in the context of Wilson FRG (also further complications arise after averaging over disorder). It may be worth studying within the exact RG context, which is beyond the scope of the present paper.
  • 62
    • 33645094677 scopus 로고    scopus 로고
    • note
    • -1].
  • 63
    • 33645058191 scopus 로고    scopus 로고
    • note
    • g+ygeg but the contour remains to be worked out.
  • 64
    • 33645065131 scopus 로고    scopus 로고
    • note
    • -k/q. At least this is necessary condition for such droplet arguments to make sense.
  • 66
    • 0000046186 scopus 로고    scopus 로고
    • P. Le Doussal, C. Monthus, and D. S. Fisher, Phys. Rev. E 59, 4795 (1999); L. Laloux and P. Le Doussal, ibid. 57, 6296 (1998).
    • (1998) Phys. Rev. E , vol.57 , pp. 6296
    • Laloux, L.1    Le Doussal, P.2
  • 68
    • 33645083743 scopus 로고    scopus 로고
    • note
    • Note, however, that if the initial condition starts in an interval two adjacent minima and maxima which does not contains a zero of F(u), it instead converges in finite time to one of the endpoint of the interval at which η(u) vanishes. The solution in Eq. (G4) analytically continues the relaxation of the force to zero.
  • 70
    • 33645074166 scopus 로고    scopus 로고
    • E. Frey, U. Tauber, and T. Hwa, cond-mat/9601049
    • E. Frey, U. Tauber, and T. Hwa, cond-mat/9601049.
  • 71
    • 0040864831 scopus 로고
    • B. Altshuler et al., JETP Lett. 45, 199 (1987); Zh. Eksp. Teor. Fiz. 94, 258 (1988).
    • (1987) JETP Lett. , vol.45 , pp. 199
    • Altshuler, B.1
  • 72
    • 18244397898 scopus 로고
    • B. Altshuler et al., JETP Lett. 45, 199 (1987); Zh. Eksp. Teor. Fiz. 94, 258 (1988).
    • (1988) Zh. Eksp. Teor. Fiz. , vol.94 , pp. 258


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