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1
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33646982268
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edited by E. Rubi (Springer, Berlin)
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For recent reviews, see, e.g., E. Vincent, J. Hammann, M. Ocio, J.-P. Bouchaud, and L.F. Cugliandolo, in Proceedings of Sitges Conference on Glassy Systems, edited by E. Rubi (Springer, Berlin, 1996); J.-P. Bouchaud, L. Cugliandolo, J. Kurchan, and M. Mézard, in Spin Glasses and Random Fields, edited by A.P. Young (World Scientific, Singapore, 1997). These papers are found also at e-print cond-mat/9607224; and e-print cond-mat/9702070.
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(1996)
Proceedings of Sitges Conference on Glassy Systems
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Vincent, E.1
Hammann, J.2
Ocio, M.3
Bouchaud, J.-P.4
Cugliandolo, L.F.5
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2
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0003975020
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edited by A.P. Young (World Scientific, Singapore), These papers are found also at e-print cond-mat/9607224; and e-print cond-mat/9702070
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For recent reviews, see, e.g., E. Vincent, J. Hammann, M. Ocio, J.-P. Bouchaud, and L.F. Cugliandolo, in Proceedings of Sitges Conference on Glassy Systems, edited by E. Rubi (Springer, Berlin, 1996); J.-P. Bouchaud, L. Cugliandolo, J. Kurchan, and M. Mézard, in Spin Glasses and Random Fields, edited by A.P. Young (World Scientific, Singapore, 1997). These papers are found also at e-print cond-mat/9607224; and e-print cond-mat/9702070.
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(1997)
Spin Glasses and Random Fields
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Bouchaud, J.-P.1
Cugliandolo, L.2
Kurchan, J.3
Mézard, M.4
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3
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4043086596
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L. Lundgren, P. Svedlindh, P. Nordblad, and O. Beckman, Phys. Rev. Lett. 51, 911 (1983); M. Alba, J. Hammann, M. Ocio, Ph. Refregier, and H. Bouchiat, J. Appl. Phys. 61, 3683 (1987).
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(1983)
Phys. Rev. Lett.
, vol.51
, pp. 911
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Lundgren, L.1
Svedlindh, P.2
Nordblad, P.3
Beckman, O.4
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4
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36549099835
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L. Lundgren, P. Svedlindh, P. Nordblad, and O. Beckman, Phys. Rev. Lett. 51, 911 (1983); M. Alba, J. Hammann, M. Ocio, Ph. Refregier, and H. Bouchiat, J. Appl. Phys. 61, 3683 (1987).
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(1987)
J. Appl. Phys.
, vol.61
, pp. 3683
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Alba, M.1
Hammann, J.2
Ocio, M.3
Refregier, Ph.4
Bouchiat, H.5
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8
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21844513032
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S. Franz and H. Rieger, J. Stat. Phys. 79, 749 (1995); E. Marinari, G. Parisi, F. Ricci-Tersenghi, and J.J. Ruiz-Lorenzo, I. Phys. A 31, 2611 (1998).
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(1995)
J. Stat. Phys.
, vol.79
, pp. 749
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Franz, S.1
Rieger, H.2
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9
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0032549416
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S. Franz and H. Rieger, J. Stat. Phys. 79, 749 (1995); E. Marinari, G. Parisi, F. Ricci-Tersenghi, and J.J. Ruiz-Lorenzo, I. Phys. A 31, 2611 (1998).
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(1998)
J. Phys. A
, vol.31
, pp. 2611
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Marinari, E.1
Parisi, G.2
Ricci-Tersenghi, F.3
Ruiz-Lorenzo, J.J.4
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10
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0033517971
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L.F. Cugliandolo, D.R. Grempel, J. Kurchan, and E. Vincent, Europhys. Lett. 48, 699 (1999).
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(1999)
Europhys. Lett.
, vol.48
, pp. 699
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Cugliandolo, L.F.1
Grempel, D.R.2
Kurchan, J.3
Vincent, E.4
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15
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33646981537
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note
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It is known that violation of FDT is bounded by the time derivative of the free energy [13]. Since the change of the free energy stops at the long-time limit, FDT holds in the quasi-equilibrium regime even though a system is out of equilibrium.
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17
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33646981035
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note
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2 does not contribute to the value of the integral by itself.
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18
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0001566632
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A.T. Ogielski, Phys. Rev. B 32, 7384 (1985); A. Ito, H. Aruga, E. Torikai, M. Kikuchi, Y. Syono, and H. Takei, Phys. Rev. Lett. 57, 483 (1986).
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(1985)
Phys. Rev. B
, vol.32
, pp. 7384
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Ogielski, A.T.1
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19
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4243740945
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A.T. Ogielski, Phys. Rev. B 32, 7384 (1985); A. Ito, H. Aruga, E. Torikai, M. Kikuchi, Y. Syono, and H. Takei, Phys. Rev. Lett. 57, 483 (1986).
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(1986)
Phys. Rev. Lett.
, vol.57
, pp. 483
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Ito, A.1
Aruga, H.2
Torikai, E.3
Kikuchi, M.4
Syono, Y.5
Takei, H.6
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21
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0002496114
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K.L. Ngai, Comments Solid State Phys. 9, 127 (1979); 9, 141 (1980); A.T. Ogielski, Phys. Rev. B 32, 7384 (1985); M.H. Cohen and G.S. Grest, ibid. 20, 1077 (1979).
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(1979)
Comments Solid State Phys.
, vol.9
, pp. 127
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Ngai, K.L.1
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22
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0001453260
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K.L. Ngai, Comments Solid State Phys. 9, 127 (1979); 9, 141 (1980); A.T. Ogielski, Phys. Rev. B 32, 7384 (1985); M.H. Cohen and G.S. Grest, ibid. 20, 1077 (1979).
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(1980)
Comments Solid State Phys.
, vol.9
, pp. 141
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23
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0001566632
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K.L. Ngai, Comments Solid State Phys. 9, 127 (1979); 9, 141 (1980); A.T. Ogielski, Phys. Rev. B 32, 7384 (1985); M.H. Cohen and G.S. Grest, ibid. 20, 1077 (1979).
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(1985)
Phys. Rev. B
, vol.32
, pp. 7384
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Ogielski, A.T.1
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24
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4244017808
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K.L. Ngai, Comments Solid State Phys. 9, 127 (1979); 9, 141 (1980); A.T. Ogielski, Phys. Rev. B 32, 7384 (1985); M.H. Cohen and G.S. Grest, ibid. 20, 1077 (1979).
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(1979)
Phys. Rev. B
, vol.20
, pp. 1077
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Cohen, M.H.1
Grest, G.S.2
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25
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33646985757
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note
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qsp;1/Δt [19]. Since the correlation function derived from the massless Langevin equation obeys the exponential relaxation, our result agrees with that of Ref. [19].
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28
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33646981924
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note
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This form of the scaling function was proposed to account for the results of experiments in polymer glasses [22], then used in analyses of aging effects in decay of the thermoremanent magnetization [23], and found in the exact solution of the asymmetric spherical SK model [24].
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30
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0022251583
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M. Ocio, M. Alba, and J. Hammann, J. Phys. (France) Lett. 46, L-1101 (1985); M. Alba, M. Ocio, and J. Hammann, Europhys. Lett. 2, 45 (1986).
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(1985)
J. Phys. (France) Lett.
, vol.46
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Ocio, M.1
Alba, M.2
Hammann, J.3
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31
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0022744170
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M. Ocio, M. Alba, and J. Hammann, J. Phys. (France) Lett. 46, L-1101 (1985); M. Alba, M. Ocio, and J. Hammann, Europhys. Lett. 2, 45 (1986).
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(1986)
Europhys. Lett.
, vol.2
, pp. 45
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Alba, M.1
Ocio, M.2
Hammann, J.3
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32
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84957333560
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S. Franz and M. Mézard, Europhys. Lett. 26, 209 (1994); Physica A 209, 1 (1994); L.F. Cugliandolo, J. Kurchan, P. Le Doussal, and L. Peliti, Phys. Rev. Lett. 78, 350 (1997).
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(1994)
Europhys. Lett.
, vol.26
, pp. 209
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Franz, S.1
Mézard, M.2
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33
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84957333560
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S. Franz and M. Mézard, Europhys. Lett. 26, 209 (1994); Physica A 209, 1 (1994); L.F. Cugliandolo, J. Kurchan, P. Le Doussal, and L. Peliti, Phys. Rev. Lett. 78, 350 (1997).
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(1994)
Physica A
, vol.209
, pp. 1
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34
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0001370926
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S. Franz and M. Mézard, Europhys. Lett. 26, 209 (1994); Physica A 209, 1 (1994); L.F. Cugliandolo, J. Kurchan, P. Le Doussal, and L. Peliti, Phys. Rev. Lett. 78, 350 (1997).
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(1997)
Phys. Rev. Lett.
, vol.78
, pp. 350
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Cugliandolo, L.F.1
Kurchan, J.2
Le Doussal, P.3
Peliti, L.4
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35
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33646978555
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note
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This form of the scaling function is suggested by the numerical data from the analysis of a point particle in a random potential with infinite dimension [26] and is used to scale data for the thermoremanent magnetization and the out-of-phase susceptibility.
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36
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0000753088
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L.F. Cugliandolo and P. Le Doussal, Phys. Rev. E 53, 1525 (1996); L.F. Cugliandolo, J. Kurchan, and P. Le Doussal, Phys. Rev. Lett. 76, 2390 (1996).
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(1996)
Phys. Rev. E
, vol.53
, pp. 1525
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Cugliandolo, L.F.1
Le Doussal, P.2
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37
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0000753090
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L.F. Cugliandolo and P. Le Doussal, Phys. Rev. E 53, 1525 (1996); L.F. Cugliandolo, J. Kurchan, and P. Le Doussal, Phys. Rev. Lett. 76, 2390 (1996).
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(1996)
Phys. Rev. Lett.
, vol.76
, pp. 2390
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Cugliandolo, L.F.1
Kurchan, J.2
Le Doussal, P.3
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39
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33646987831
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note
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2).
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40
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33646976135
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note
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The equations of motion of C(t,t′) and R(t,t′) of the multi-correlation-scale systems in the long waiting time limit have an infinite set of invariance called "time reparametrization invariance" [4]. If we perform an arbitrary reparametrization of time t̂ = ξ(t), t̂′ = ξ(t′) and redefine the two-time quantities as Ĉ(t̂,t̂′) = C[ξ(t),ξ(t′)], Ĝ(t̂,t̂′) = G[ξ(t),ξ(t′)]. Then, the redefined functions Ĉ and Ĝ satisfy the same equations of motion. It is important to note that this invariance is a consequence of having neglected the time derivatives in taking the long waiting time limit The full equations of motion have no such invariance and the solution is unique.
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