-
1
-
-
0000965372
-
-
JCPSA6 0021-9606 10.1063/1.431961
-
S. A. Adelman, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.431961 64, 124 (1976).
-
(1976)
J. Chem. Phys.
, vol.64
, pp. 124
-
-
Adelman, S.A.1
-
2
-
-
0035509430
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.64.051106
-
E. Lutz, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.051106 64, 051106 (2001).
-
(2001)
Phys. Rev. e
, vol.64
, pp. 051106
-
-
Lutz, E.1
-
3
-
-
0037009585
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.89.100601
-
R. Morgado, F. A. Oliveira, G. G. Batrouni, and A. Hansen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.100601 89, 100601 (2002).
-
(2002)
Phys. Rev. Lett.
, vol.89
, pp. 100601
-
-
Morgado, R.1
Oliveira, F.A.2
Batrouni, G.G.3
Hansen, A.4
-
4
-
-
0037437756
-
-
PHYADX 0378-4371 10.1016/S0378-4371(02)01361-4
-
N. Pottier, Physica A PHYADX 0378-4371 10.1016/S0378-4371(02)01361-4 317, 371 (2003).
-
(2003)
Physica A
, vol.317
, pp. 371
-
-
Pottier, N.1
-
5
-
-
33746216416
-
-
JCPSA6 0021-9606 10.1063/1.2209231
-
S. Chaudhury and B. J. Cherayil, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2209231 125, 024904 (2006).
-
(2006)
J. Chem. Phys.
, vol.125
, pp. 024904
-
-
Chaudhury, S.1
Cherayil, B.J.2
-
6
-
-
33244464700
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.72.061107
-
J. D. Bao, P. Hänggi, and Y. Z. Zhuo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.061107 72, 061107 (2005).
-
(2005)
Phys. Rev. e
, vol.72
, pp. 061107
-
-
Bao, J.D.1
Hänggi, P.2
Zhuo, Y.Z.3
-
7
-
-
0347975171
-
-
JSTPBS 0022-4715 10.1023/B:JOSS.0000003113.22621.f0
-
R. Kupferman, J. Stat. Phys. JSTPBS 0022-4715 10.1023/B:JOSS.0000003113. 22621.f0 114, 291 (2004).
-
(2004)
J. Stat. Phys.
, vol.114
, pp. 291
-
-
Kupferman, R.1
-
8
-
-
36249021544
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.99.200601
-
I. Goychuk and P. Hänggi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.200601 99, 200601 (2007).
-
(2007)
Phys. Rev. Lett.
, vol.99
, pp. 200601
-
-
Goychuk, I.1
Hänggi, P.2
-
9
-
-
0002641421
-
-
PRPLCM 0370-1573 10.1016/S0370-1573(00)00070-3
-
R. Metzler and J. Klafter, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(00)00070-3 339, 1 (2000).
-
(2000)
Phys. Rep.
, vol.339
, pp. 1
-
-
Metzler, R.1
Klafter, J.2
-
10
-
-
0141993702
-
-
SCIEAS 0036-8075 10.1126/science.1086911
-
H. Yang, G. Luo, P. Karnchanaphanurach, T. Louie, I. Rech, S. Cova, L. Xun, and X.S. Xie, Science SCIEAS 0036-8075 10.1126/science.1086911 302, 262 (2003).
-
(2003)
Science
, vol.302
, pp. 262
-
-
Yang, H.1
Luo, G.2
Karnchanaphanurach, P.3
Louie, T.4
Rech, I.5
Cova, S.6
Xun, L.7
Xie, X.S.8
-
11
-
-
27144465458
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.94.198302
-
W. Min, G. Luo, B. Cherayil, S. Kou, and X. Xie, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.198302 94, 198302 (2005).
-
(2005)
Phys. Rev. Lett.
, vol.94
, pp. 198302
-
-
Min, W.1
Luo, G.2
Cherayil, B.3
Kou, S.4
Xie, X.5
-
13
-
-
32844466709
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.73.016111
-
A. D. Viñales and M. A. Despósito, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.016111 73, 016111 (2006).
-
(2006)
Phys. Rev. e
, vol.73
, pp. 016111
-
-
Viñales, A.D.1
Despósito, M.A.2
-
14
-
-
40849121133
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.100.070601
-
S. Burov and E. Barkai, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.070601 100, 070601 (2008).
-
(2008)
Phys. Rev. Lett.
, vol.100
, pp. 070601
-
-
Burov, S.1
Barkai, E.2
-
15
-
-
0000501589
-
-
SIREAD 0036-1445 10.1137/1010093
-
B. Mandelbrot and J. Van Ness, SIAM Rev. SIREAD 0036-1445 10.1137/1010093 10, 422 (1968).
-
(1968)
SIAM Rev.
, vol.10
, pp. 422
-
-
Mandelbrot, B.1
Van Ness, J.2
-
16
-
-
77951564198
-
-
edited by G. Rangarajan and M. Z. Ding, Lecture Notes in Physics Vol. Springer, New York
-
H. Qian, in Processes with Long-Range Correlations: Theory and Applications, edited by, G. Rangarajan, and, M. Z. Ding, Lecture Notes in Physics Vol. 621 (Springer, New York, 2003), p. 22.
-
(2003)
Processes with Long-Range Correlations: Theory and Applications
, vol.621
, pp. 22
-
-
Qian, H.1
-
17
-
-
19744382497
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.93.180603
-
S. C. Kou and X. S. Xie, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.180603 93, 180603 (2004).
-
(2004)
Phys. Rev. Lett.
, vol.93
, pp. 180603
-
-
Kou, S.C.1
Xie, X.S.2
-
18
-
-
51849150641
-
-
Fractional Gaussian noise is usually defined by ξ (τ) ξ (t) 2H (2H-1) | t-τ | 2H-2 +2H | t-τ | 2H-1 δ (t-τ), where H is the Hurst exponent and is related to α by α=2-2H. For 0<α<1 the second term on the right has no effect and we get Eq. 3.
-
Fractional Gaussian noise is usually defined by ξ (τ) ξ (t) 2H (2H-1) | t-τ | 2H-2 +2H | t-τ | 2H-1 δ (t-τ), where H is the Hurst exponent and is related to α by α=2-2H. For 0<α<1 the second term on the right has no effect and we get Eq. 3.
-
-
-
-
19
-
-
0003589741
-
-
Springer-Verlag, Berlin
-
R. Kubo, M. Toda, and N. Hashitsume, Statistical Physics II, Nonequilibrium Statistical Mechanics (Springer-Verlag, Berlin, 1985).
-
(1985)
Statistical Physics II, Nonequilibrium Statistical Mechanics
-
-
Kubo, R.1
Toda, M.2
Hashitsume, N.3
-
22
-
-
0000222069
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.53.5872
-
J. M. Porrà, K. G. Wang, and J. Masoliver, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.53.5872 53, 5872 (1996).
-
(1996)
Phys. Rev. e
, vol.53
, pp. 5872
-
-
Porrà, J.M.1
Wang, K.G.2
Masoliver, J.3
-
23
-
-
18844402460
-
-
JSTPBS 0022-4715 10.1007/BF01008729
-
R. Zwanzig, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01008729 9, 215 (1973).
-
(1973)
J. Stat. Phys.
, vol.9
, pp. 215
-
-
Zwanzig, R.1
-
25
-
-
0036855685
-
-
PHTOAD 0031-9228
-
I. M. Sokolov, J. Klafter, and A. Blumen, Phys. Today PHTOAD 0031-9228 55 (11), 48 (2002).
-
(2002)
Phys. Today
, vol.55
, Issue.11
, pp. 48
-
-
Sokolov, I.M.1
Klafter, J.2
Blumen, A.3
-
27
-
-
0035305938
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.63.046118
-
E. Barkai, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.046118 63, 046118 (2001).
-
(2001)
Phys. Rev. e
, vol.63
, pp. 046118
-
-
Barkai, E.1
-
28
-
-
18144408075
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.82.3563
-
R. Metzler, E. Barkai, and J. Klafter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.3563 82, 3563 (1999).
-
(1999)
Phys. Rev. Lett.
, vol.82
, pp. 3563
-
-
Metzler, R.1
Barkai, E.2
Klafter, J.3
-
29
-
-
0035881879
-
-
PHYADX 0378-4371 10.1016/S0378-4371(01)00200-X
-
B. N. Narahari Achar, J. W. Hanneken, T. Enck, and T. Clarke, Physica A PHYADX 0378-4371 10.1016/S0378-4371(01)00200-X 297, 361 (2001).
-
(2001)
Physica A
, vol.297
, pp. 361
-
-
Narahari Achar, B.N.1
Hanneken, J.W.2
Enck, T.3
Clarke, T.4
-
30
-
-
0036870768
-
-
PRBMDO 0163-1829 10.1103/PhysRevB.66.184201
-
Ya. E. Ryabov and A. Puzenko, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.184201 66, 184201 (2002).
-
(2002)
Phys. Rev. B
, vol.66
, pp. 184201
-
-
Ryabov, Y.E.1
Puzenko, A.2
-
33
-
-
0038445397
-
-
According to Ref., such a fractional oscillator was considered by edited by W. F. Ames (GeorgiaTech, Atlanta
-
According to Ref., such a fractional oscillator was considered by F. Mainardi, in Proceedings of the 12th IMACS World Congress, Atlanta, 1994, edited by, W. F. Ames, (GeorgiaTech, Atlanta, 1994), Vol. 1, pp. 329-333.
-
(1994)
Proceedings of the 12th IMACS World Congress, Atlanta, 1994
, vol.1
, pp. 329-333
-
-
Mainardi, F.1
-
36
-
-
0004245694
-
-
edited by M. Abramowitz and I. Stegun (Dover, New York
-
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, edited by, M. Abramowitz, and, I. Stegun, (Dover, New York, 1971).
-
(1971)
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables
-
-
-
39
-
-
28844478780
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.95.220601
-
F. Barbi, M. Bologna, and P. Grigolini, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.220601 95, 220601 (2005).
-
(2005)
Phys. Rev. Lett.
, vol.95
, pp. 220601
-
-
Barbi, F.1
Bologna, M.2
Grigolini, P.3
-
40
-
-
33749485301
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.97.140602
-
I. M. Sokolov and J. Klafter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.140602 97, 140602 (2006).
-
(2006)
Phys. Rev. Lett.
, vol.97
, pp. 140602
-
-
Sokolov, I.M.1
Klafter, J.2
-
41
-
-
34748840212
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.99.120602
-
E. Heinsalu, M. Patriarca, I. Goychuk, and P. Hänggi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.120602 99, 120602 (2007).
-
(2007)
Phys. Rev. Lett.
, vol.99
, pp. 120602
-
-
Heinsalu, E.1
Patriarca, M.2
Goychuk, I.3
Hänggi, P.4
-
42
-
-
0030264775
-
-
PHYADX 0378-4371 10.1016/0378-4371(96)00209-9
-
K. Weron and M. Kotulski, Physica A PHYADX 0378-4371 10.1016/0378- 4371(96)00209-9 232, 180 (1996).
-
(1996)
Physica A
, vol.232
, pp. 180
-
-
Weron, K.1
Kotulski, M.2
-
43
-
-
35448949473
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.76.040102
-
I. Goychuk, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.040102 76 040102 (R) (2007).
-
(2007)
Phys. Rev. e
, vol.76
, pp. 040102
-
-
Goychuk, I.1
-
44
-
-
27144546670
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.95.098106
-
R. Granek and J. Klafter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.098106 95, 098106 (2005).
-
(2005)
Phys. Rev. Lett.
, vol.95
, pp. 098106
-
-
Granek, R.1
Klafter, J.2
-
45
-
-
33745440760
-
-
JPCBFK 1089-5647 10.1021/jp057497p
-
G. Luo, I. Andricionoaei, X. S. Xie, and M. Karplus, J. Phys. Chem. B JPCBFK 1089-5647 10.1021/jp057497p 110, 9363 (2006).
-
(2006)
J. Phys. Chem. B
, vol.110
, pp. 9363
-
-
Luo, G.1
Andricionoaei, I.2
Xie, X.S.3
Karplus, M.4
-
46
-
-
41349118698
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.65.032102
-
W. T. Coffey, Yu. P. Kalmykov, and S. V. Titov, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.032102 65, 032102 (2002).
-
(2002)
Phys. Rev. e
, vol.65
, pp. 032102
-
-
Coffey, W.T.1
Kalmykov, Y.P.2
Titov, S.V.3
-
47
-
-
41349087902
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.65.051105
-
W. T. Coffey, Yu. P. Kalmykov, and S. V. Titov, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.051105 65, 051105 (2002).
-
(2002)
Phys. Rev. e
, vol.65
, pp. 051105
-
-
Coffey, W.T.1
Kalmykov, Y.P.2
Titov, S.V.3
-
48
-
-
0004174095
-
-
World Scientific, Hackensack
-
W. T. Coffey, Yu. P. Kalmykov, and J. T. Waldron, The Langevin Equation: With Applications to Stochastic Problems in Physics, Chemistry, and Electrical Engineering (World Scientific, Hackensack, 2004).
-
(2004)
The Langevin Equation: With Applications to Stochastic Problems in Physics, Chemistry, and Electrical Engineering
-
-
Coffey, W.T.1
Kalmykov, Y.P.2
Waldron, J.T.3
-
49
-
-
0000495889
-
-
JPRAAJ 0368-3842 10.1051/jphysrad:0193300405024700
-
M. Y. Rocard, J. Phys. Radium JPRAAJ 0368-3842 10.1051/jphysrad: 0193300405024700 4, 247 (1933).
-
(1933)
J. Phys. Radium
, vol.4
, pp. 247
-
-
Rocard, M.Y.1
-
52
-
-
0004986545
-
-
RPPHAG 0034-4885 10.1088/0034-4885/55/3/001
-
W. Götze and L. Sjörgen, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/55/3/001 55, 241 (1992).
-
(1992)
Rep. Prog. Phys.
, vol.55
, pp. 241
-
-
Götze, W.1
Sjörgen, L.2
-
53
-
-
11644297580
-
-
JPCAFH 1089-5639 10.1021/jp983327j
-
N. Nandi and B. Bagchi, J. Phys. Chem. A JPCAFH 1089-5639 10.1021/jp983327j 102, 8217 (1998).
-
(1998)
J. Phys. Chem. A
, vol.102
, pp. 8217
-
-
Nandi, N.1
Bagchi, B.2
|