-
1
-
-
0035069924
-
Fractional dispersion, Lévy motion, and the made tracer tests
-
Benson D.A., Schumer R., Meerschaert M.M., Wheatcraft S.W. Fractional dispersion, Lévy motion, and the made tracer tests. Transp Porous Media 2001, 42:211-240.
-
(2001)
Transp Porous Media
, vol.42
, pp. 211-240
-
-
Benson, D.A.1
Schumer, R.2
Meerschaert, M.M.3
Wheatcraft, S.W.4
-
3
-
-
33845247896
-
Modeling non-Fickian transport in geological formations as a continuous time random walk
-
Berkowitz B., Cortis A., Dentz M., Scher H. Modeling non-Fickian transport in geological formations as a continuous time random walk. Rev Geophys 2006, 44:1-49.
-
(2006)
Rev Geophys
, vol.44
, pp. 1-49
-
-
Berkowitz, B.1
Cortis, A.2
Dentz, M.3
Scher, H.4
-
4
-
-
0000087814
-
Anomalous transport in random fracture networks
-
Berkowitz B., Scher H. Anomalous transport in random fracture networks. Phys Rev Lett 1997, 79:4038-4041.
-
(1997)
Phys Rev Lett
, vol.79
, pp. 4038-4041
-
-
Berkowitz, B.1
Scher, H.2
-
5
-
-
0002541858
-
Application of central limit theorems to solute dispersion in saturated porous media: From kinetic to field scales
-
Kluwer Academic, London, J.H. Cushman (Ed.)
-
Bhattacharya R., Gupta V.K. Application of central limit theorems to solute dispersion in saturated porous media: From kinetic to field scales. Dynamics of fluids in hierarchical porous media 1990, 61-95. Kluwer Academic, London. J.H. Cushman (Ed.).
-
(1990)
Dynamics of fluids in hierarchical porous media
, pp. 61-95
-
-
Bhattacharya, R.1
Gupta, V.K.2
-
6
-
-
77958033878
-
Generalized central limit theorem and renormalization group
-
Calvo I., Cuchi J.C., Esteve J.G., Falceto F. Generalized central limit theorem and renormalization group. J Stat Phys 2010, 141:409-421.
-
(2010)
J Stat Phys
, vol.141
, pp. 409-421
-
-
Calvo, I.1
Cuchi, J.C.2
Esteve, J.G.3
Falceto, F.4
-
7
-
-
35248828149
-
Fluid limit of the continuous-time random walk with general Lévy jump distribution functions
-
Cartea Á., del Castillo-Negrete D. Fluid limit of the continuous-time random walk with general Lévy jump distribution functions. Phys Rev E 2007, 76:041105.
-
(2007)
Phys Rev E
, vol.76
, pp. 041105
-
-
Cartea, Á.1
del Castillo-Negrete, D.2
-
8
-
-
0027683759
-
Nonlocal dispersion in media with continuously evolving scales of heterogeneity
-
Cushman J.H., Ginn T.R. Nonlocal dispersion in media with continuously evolving scales of heterogeneity. Transp Porous Media 1993, 13:123-138.
-
(1993)
Transp Porous Media
, vol.13
, pp. 123-138
-
-
Cushman, J.H.1
Ginn, T.R.2
-
9
-
-
0034515585
-
Fractional advection-dispersion equation: a classical mass balance with convolution-Fickian flux
-
Cushman J.H., Ginn T.R. Fractional advection-dispersion equation: a classical mass balance with convolution-Fickian flux. Water Resour Res 2000, 36:3763-3766.
-
(2000)
Water Resour Res
, vol.36
, pp. 3763-3766
-
-
Cushman, J.H.1
Ginn, T.R.2
-
10
-
-
21344481403
-
Nonequilibrium statistical mechanics of preasymptotic dispersion
-
Cushman J.H., Hu X., Ginn T.R. Nonequilibrium statistical mechanics of preasymptotic dispersion. J Stat Phys 1994, 75:859-878.
-
(1994)
J Stat Phys
, vol.75
, pp. 859-878
-
-
Cushman, J.H.1
Hu, X.2
Ginn, T.R.3
-
14
-
-
33749179709
-
Parameter estimation for fractional dispersion model for rivers
-
Deng Z., Bengtsson L., Singh V.P. Parameter estimation for fractional dispersion model for rivers. Environ Fluid Mech 2006, 6:451-475.
-
(2006)
Environ Fluid Mech
, vol.6
, pp. 451-475
-
-
Deng, Z.1
Bengtsson, L.2
Singh, V.P.3
-
15
-
-
78649992826
-
Distribution-versus correlation-induced anomalous transport in quenched random velocity fields
-
Dentz M., Bolster D. Distribution-versus correlation-induced anomalous transport in quenched random velocity fields. Phys Rev Lett 2010, 105:244301. http://link.aps.org/doi/10.1103/PhysRevLett.105.244301, 10.1103/PhysRevLett.105.244301.
-
(2010)
Phys Rev Lett
, vol.105
, pp. 244301
-
-
Dentz, M.1
Bolster, D.2
-
16
-
-
1342267258
-
Time behavior of solute transport in heterogeneous media: transition from anomalous to normal transport
-
Dentz M., Cortis A., Scher H., Berkowitz B. Time behavior of solute transport in heterogeneous media: transition from anomalous to normal transport. Adv Water Res 2004, 27:155-173.
-
(2004)
Adv Water Res
, vol.27
, pp. 155-173
-
-
Dentz, M.1
Cortis, A.2
Scher, H.3
Berkowitz, B.4
-
17
-
-
0034502674
-
On the late-time behavior of tracer test breakthrough curves
-
Haggerty R., McKenna S.A., Meigs L.C. On the late-time behavior of tracer test breakthrough curves. Water Resour Res 2000, 36:3467-3479.
-
(2000)
Water Resour Res
, vol.36
, pp. 3467-3479
-
-
Haggerty, R.1
McKenna, S.A.2
Meigs, L.C.3
-
19
-
-
0008828220
-
Renormalization group and probability theory
-
Jona-Lasinio G. Renormalization group and probability theory. Phys Rep 2001, 352:439-458.
-
(2001)
Phys Rep
, vol.352
, pp. 439-458
-
-
Jona-Lasinio, G.1
-
20
-
-
80155151108
-
Spatial markov model of anomalous transport through random lattice networks
-
Kang P.K., Dentz M., LeBorgne T., Juanes R. Spatial markov model of anomalous transport through random lattice networks. Phys Rev Lett 2011, 107:180602.
-
(2011)
Phys Rev Lett
, vol.107
, pp. 180602
-
-
Kang, P.K.1
Dentz, M.2
LeBorgne, T.3
Juanes, R.4
-
22
-
-
28144450152
-
Application of the finite-size Lyapunov exponent to particle tracking velocimetry in fluid mechanics experiments
-
Kleinfelter N., Moroni M., Cushman J.H. Application of the finite-size Lyapunov exponent to particle tracking velocimetry in fluid mechanics experiments. Phys Rev E 2005, 72:056306.
-
(2005)
Phys Rev E
, vol.72
, pp. 056306
-
-
Kleinfelter, N.1
Moroni, M.2
Cushman, J.H.3
-
23
-
-
51349167211
-
Lagrangian statistical model for transport in highly heterogeneous velocity fields
-
LeBorgne T., Dentz M., Carrera J. Lagrangian statistical model for transport in highly heterogeneous velocity fields. Phys Rev Lett 2008, 101:090601.
-
(2008)
Phys Rev Lett
, vol.101
, pp. 090601
-
-
LeBorgne, T.1
Dentz, M.2
Carrera, J.3
-
25
-
-
0015969022
-
Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of carrier
-
Mandelbrot B.B. Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of carrier. J Fluid Mech 1974, 62:331-358.
-
(1974)
J Fluid Mech
, vol.62
, pp. 331-358
-
-
Mandelbrot, B.B.1
-
26
-
-
4043102385
-
Limit theorems for continuous time random walks with infinite mean waiting times
-
Meerschaert M.M., Scheffler H.P. Limit theorems for continuous time random walks with infinite mean waiting times. J Appl Probab 2004, 41:623-638.
-
(2004)
J Appl Probab
, vol.41
, pp. 623-638
-
-
Meerschaert, M.M.1
Scheffler, H.P.2
-
28
-
-
0002641421
-
The random walk's guide to anomalous diffusion: a fractional dynamics approach
-
Metzler R., Klafter J. The random walk's guide to anomalous diffusion: a fractional dynamics approach. Phys Rep 2000, 339:1-77.
-
(2000)
Phys Rep
, vol.339
, pp. 1-77
-
-
Metzler, R.1
Klafter, J.2
-
30
-
-
0025474361
-
Universal scaling of hydraulic conductivities and dispersivities in geologic media
-
Neuman S.P. Universal scaling of hydraulic conductivities and dispersivities in geologic media. Water Resour Res 1990, 26:1749-1758.
-
(1990)
Water Resour Res
, vol.26
, pp. 1749-1758
-
-
Neuman, S.P.1
-
31
-
-
0027456208
-
Eulerian-Lagrangian theory of transport in space-time nonstationary velocity fields: exact nonlocal formalism by conditional moments and weak approximation
-
Neuman S.P. Eulerian-Lagrangian theory of transport in space-time nonstationary velocity fields: exact nonlocal formalism by conditional moments and weak approximation. Water Resour Res 1993, 29:633-645.
-
(1993)
Water Resour Res
, vol.29
, pp. 633-645
-
-
Neuman, S.P.1
-
32
-
-
64849090484
-
Perspective on theories of non-Fickian transport in heterogeneous media
-
Neuman S.P., Tartakovsky D.M. Perspective on theories of non-Fickian transport in heterogeneous media. Adv Water Resour 2009, 32:670-680.
-
(2009)
Adv Water Resour
, vol.32
, pp. 670-680
-
-
Neuman, S.P.1
Tartakovsky, D.M.2
-
33
-
-
78651235765
-
Fractional Brownian motion run with a non-linear clock
-
O'Malley D., Cushman J.H. Fractional Brownian motion run with a non-linear clock. Phys Rev E 2010, 82:032102.
-
(2010)
Phys Rev E
, vol.82
, pp. 032102
-
-
O'Malley, D.1
Cushman, J.H.2
-
34
-
-
84857923278
-
A renormalization group classification of nonstationary and/or infinite second moment diffusive processes
-
O'Malley D., Cushman J.H. A renormalization group classification of nonstationary and/or infinite second moment diffusive processes. J Stat Phys 2012, 10.1007/s10955-012-0448-3.
-
(2012)
J Stat Phys
-
-
O'Malley, D.1
Cushman, J.H.2
-
35
-
-
84864778303
-
Two-scale renormalization-group classification of diffusive processes
-
O'Malley D., Cushman J.H. Two-scale renormalization-group classification of diffusive processes. Phys Rev E 2012, 86:011126.
-
(2012)
Phys Rev E
, vol.86
, pp. 011126
-
-
O'Malley, D.1
Cushman, J.H.2
-
36
-
-
84870741954
-
Random renormalization group operators applied to stochastic dynamics
-
O'Malley D., Cushman J.H. Random renormalization group operators applied to stochastic dynamics. J Stat Phys 2012, 1-8.
-
(2012)
J Stat Phys
, pp. 1-8
-
-
O'Malley, D.1
Cushman, J.H.2
-
37
-
-
79751481113
-
Scaling laws for fractional Brownian motion with power-law clock
-
O'Malley D., Cushman J.H., Johnson G. Scaling laws for fractional Brownian motion with power-law clock. J Stat Mech Theory Exp 2011, 2011:L01001.
-
(2011)
J Stat Mech Theory Exp
, vol.2011
-
-
O'Malley, D.1
Cushman, J.H.2
Johnson, G.3
-
38
-
-
34547152719
-
Finite-size Lyapunov exponent for Lévy processes
-
Parashar R., Cushman J.H. Finite-size Lyapunov exponent for Lévy processes. Phys Rev E 2007, 76:017201.
-
(2007)
Phys Rev E
, vol.76
, pp. 017201
-
-
Parashar, R.1
Cushman, J.H.2
-
39
-
-
65449148311
-
Operator-stable Lévy motions and renormalizing the chaotic dynamics of microbes in anisotropic porous media
-
Park M., Cushman J.H. Operator-stable Lévy motions and renormalizing the chaotic dynamics of microbes in anisotropic porous media. J Stat Mech Theory Exp 2009, 2009:P02039.
-
(2009)
J Stat Mech Theory Exp
, vol.2009
-
-
Park, M.1
Cushman, J.H.2
-
40
-
-
33644618675
-
Scaling laws and Fokker-Planck equations for 3-dimensional porous media with fractal mesoscale
-
Park M., Kleinfelter N., Cushman J.H. Scaling laws and Fokker-Planck equations for 3-dimensional porous media with fractal mesoscale. Multiscale Model Simul 2005, 4:1233-1244.
-
(2005)
Multiscale Model Simul
, vol.4
, pp. 1233-1244
-
-
Park, M.1
Kleinfelter, N.2
Cushman, J.H.3
-
41
-
-
13444309297
-
Models of anomalous diffusion: the subdiffusive case
-
Piryatinska A., Saichev A.I., Woyczynski W.A. Models of anomalous diffusion: the subdiffusive case. Phys A Stat Mech Appl 2005, 349:375-420. http://www.sciencedirect.com/science/article/pii/S0378437104014098, 10.1016/j.physa.2004.11.003.
-
(2005)
Phys A Stat Mech Appl
, vol.349
, pp. 375-420
-
-
Piryatinska, A.1
Saichev, A.I.2
Woyczynski, W.A.3
-
42
-
-
0000917473
-
Atmospheric diffusion shown on a distance-neighbour graph
-
Richardson L.F. Atmospheric diffusion shown on a distance-neighbour graph. Proc R Soc Lond Ser A 1926, 110:709-737.
-
(1926)
Proc R Soc Lond Ser A
, vol.110
, pp. 709-737
-
-
Richardson, L.F.1
-
44
-
-
1542436807
-
Fractal mobile/immobile solute transport
-
Schumer R., Benson D.A., Meerschaert M.M., Baeumer B. Fractal mobile/immobile solute transport. Water Resour Res 2003, 39:1296.
-
(2003)
Water Resour Res
, vol.39
, pp. 1296
-
-
Schumer, R.1
Benson, D.A.2
Meerschaert, M.M.3
Baeumer, B.4
-
45
-
-
3142681196
-
Fractional Brownian motion and long-range dependence
-
Birkhauser, Cambridge, MA, P. Doukhan, G. Oppenheim, M.S. Taqqu (Eds.)
-
Taqqu M.S. Fractional Brownian motion and long-range dependence. Theory and applications of long range dependence 2003, 5-38. Birkhauser, Cambridge, MA. P. Doukhan, G. Oppenheim, M.S. Taqqu (Eds.).
-
(2003)
Theory and applications of long range dependence
, pp. 5-38
-
-
Taqqu, M.S.1
-
46
-
-
33644794918
-
Identification of periodic autoregressive moving average models and their application to the modeling of river flows
-
Tesfaye Y.G., Meerschaert M.M., Anderson P.L. Identification of periodic autoregressive moving average models and their application to the modeling of river flows. Water Resour Res 2006, 42:W01419.
-
(2006)
Water Resour Res
, vol.42
-
-
Tesfaye, Y.G.1
Meerschaert, M.M.2
Anderson, P.L.3
-
47
-
-
0023794199
-
An explanation of scale-dependent dispersivity in heterogeneous aquifers using concepts of fractal geometry
-
Wheatcraft S.W., Tyler S.W. An explanation of scale-dependent dispersivity in heterogeneous aquifers using concepts of fractal geometry. Water Resour Res 1988, 24:566-578.
-
(1988)
Water Resour Res
, vol.24
, pp. 566-578
-
-
Wheatcraft, S.W.1
Tyler, S.W.2
|