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Volumn 35, Issue 17, 2008, Pages

Tempered anomalous diffusion in heterogeneous systems

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION;

EID: 57049164298     PISSN: 00948276     EISSN: None     Source Type: Journal    
DOI: 10.1029/2008GL034899     Document Type: Article
Times cited : (295)

References (21)
  • 1
    • 1842843005 scopus 로고    scopus 로고
    • A possible truncated-Levy-flight statistics recovered from interplanetary solar-wind velocity and magnetic-field fluctuations
    • Bruno, R., L. Sorriso-Valvo, V. Carbone, and B. Bavassano (2004), A possible truncated-Levy-flight statistics recovered from interplanetary solar-wind velocity and magnetic-field fluctuations, Europhys. Lett., 66(1), 146-152.
    • (2004) Europhys. Lett , vol.66 , Issue.1 , pp. 146-152
    • Bruno, R.1    Sorriso-Valvo, L.2    Carbone, V.3    Bavassano, B.4
  • 2
    • 35248828149 scopus 로고    scopus 로고
    • Fluid limit of the continuous-time random walk with general Lévy jump distribution functions
    • Cartea, A., and D. del-Castillo-Negrete (2007), Fluid limit of the continuous-time random walk with general Lévy jump distribution functions, Phys. Rev. E, 76, 041105.
    • (2007) Phys. Rev. E , vol.76 , pp. 041105
    • Cartea, A.1    del-Castillo-Negrete, D.2
  • 3
    • 77949362956 scopus 로고
    • A method for simulating stable random variables
    • Chambers, J. M., C. L. Mallows, and B. W. Stuck (1976), A method for simulating stable random variables, J. Am. Stat. Assoc., 71(354), 340-344.
    • (1976) J. Am. Stat. Assoc , vol.71 , Issue.354 , pp. 340-344
    • Chambers, J.M.1    Mallows, C.L.2    Stuck, B.W.3
  • 4
    • 41349088572 scopus 로고    scopus 로고
    • Retarding sub-diffusion and accelerating superdiffusion governed by distributed-order fractional diffusion equations
    • Chechkin, A. V., R. Gorenflo, and I. M. Sokolov (2002), Retarding sub-diffusion and accelerating superdiffusion governed by distributed-order fractional diffusion equations, Phys. Rev. E, 66, 046129.
    • (2002) Phys. Rev. E , vol.66 , pp. 046129
    • Chechkin, A.V.1    Gorenflo, R.2    Sokolov, I.M.3
  • 5
    • 2142755490 scopus 로고    scopus 로고
    • Numerical solution of fractional advection-dispersion equation
    • Deng, Z. Q., V. P. Singh, and L. Bengtsson (2004), Numerical solution of fractional advection-dispersion equation, J. Hydraul. Eng., 130(5), 422-431.
    • (2004) J. Hydraul. Eng , vol.130 , Issue.5 , pp. 422-431
    • Deng, Z.Q.1    Singh, V.P.2    Bengtsson, L.3
  • 6
    • 0034502674 scopus 로고    scopus 로고
    • On the late-time behavior of tracer test breakthrough curves
    • Haggerty, R., S. A. McKenna, and L. C. Meigs (2000), On the late-time behavior of tracer test breakthrough curves, Water Resour. Res., 36, 3467-3479.
    • (2000) Water Resour. Res , vol.36 , pp. 3467-3479
    • Haggerty, R.1    McKenna, S.A.2    Meigs, L.C.3
  • 7
    • 4244129908 scopus 로고
    • Stochastic process with ultra-slow convergence to a Gaussian: The truncated Lévy flight
    • Mantegna, R. N., and H. E. Stanley (1994), Stochastic process with ultra-slow convergence to a Gaussian: The truncated Lévy flight, Phys. Rev. Lett., 73(22), 2946-2949.
    • (1994) Phys. Rev. Lett , vol.73 , Issue.22 , pp. 2946-2949
    • Mantegna, R.N.1    Stanley, H.E.2
  • 8
    • 48349113290 scopus 로고    scopus 로고
    • Triangular array limits for continuous time random walks
    • Meerschaert, M.M., and H.-P. Scheffler (2008), Triangular array limits for continuous time random walks, Stochastic Processes Appl., 118, 1606-1633.
    • (2008) Stochastic Processes Appl , vol.118 , pp. 1606-1633
    • Meerschaert, M.M.1    Scheffler, H.-P.2
  • 9
    • 0001505107 scopus 로고    scopus 로고
    • Multidimensional advection and fractional dispersion
    • Meerschaert, M. M., D. A. Benson, and B. Baeumer (1999), Multidimensional advection and fractional dispersion, Phys. Rev. E, 59, 5026-5028.
    • (1999) Phys. Rev. E , vol.59 , pp. 5026-5028
    • Meerschaert, M.M.1    Benson, D.A.2    Baeumer, B.3
  • 10
    • 41349099804 scopus 로고    scopus 로고
    • Stochastic solution of space-time fractional diffusion equations
    • Meerschaert, M. M., D. A. Benson, H.-P. Scheffler, and B. Baeumer (2002), Stochastic solution of space-time fractional diffusion equations, Phys. Rev. E, 65, 1103-1106.
    • (2002) Phys. Rev. E , vol.65 , pp. 1103-1106
    • Meerschaert, M.M.1    Benson, D.A.2    Scheffler, H.-P.3    Baeumer, B.4
  • 11
    • 80052616432 scopus 로고    scopus 로고
    • Lévy statistics and anomalous transport: Lévy flights and subdiffusion
    • edited by H. J. Jensen, Springer, New York
    • Metzler, R., A. V. Chechkin, and J. Klafter (2008), Lévy statistics and anomalous transport: Lévy flights and subdiffusion, in Encyclopedia of Complexity and System Science, edited by H. J. Jensen, Springer, New York.
    • (2008) Encyclopedia of Complexity and System Science
    • Metzler, R.1    Chechkin, A.V.2    Klafter, J.3
  • 12
    • 33747586747 scopus 로고    scopus 로고
    • Numerical calculation of stable densities and distribution functions, heavy tails and highly volatile phenomena
    • Nolan, J. P. (1997), Numerical calculation of stable densities and distribution functions, heavy tails and highly volatile phenomena, Commun. Stat. Stochastic Models, 13(4), 759-774.
    • (1997) Commun. Stat. Stochastic Models , vol.13 , Issue.4 , pp. 759-774
    • Nolan, J.P.1
  • 13
    • 34247641640 scopus 로고    scopus 로고
    • Tempering stable processes
    • Rosiński, J. (2007), Tempering stable processes, Stochastic Processes Appl., 117, 677-707.
    • (2007) Stochastic Processes Appl , vol.117 , pp. 677-707
    • Rosiński, J.1
  • 14
    • 26444588819 scopus 로고    scopus 로고
    • Random walks with intermediate anomalous-diffusion asymptotics
    • Saichev, A. I., and S. G. Utkin (2004), Random walks with intermediate anomalous-diffusion asymptotics, J. Exp. Theory Phys., 99(2), 443-448.
    • (2004) J. Exp. Theory Phys , vol.99 , Issue.2 , pp. 443-448
    • Saichev, A.I.1    Utkin, S.G.2
  • 15
    • 1542436807 scopus 로고    scopus 로고
    • Fractal mobile/immobile solute transport
    • doi:10.1029/2003WR002141
    • Schumer, R., D. A. Benson, M. M. Meerschaert, and B. Baeumer (2003), Fractal mobile/immobile solute transport, Water Resour. Res., 39(10), 1296, doi:10.1029/2003WR002141.
    • (2003) Water Resour. Res , vol.39 , Issue.10 , pp. 1296
    • Schumer, R.1    Benson, D.A.2    Meerschaert, M.M.3    Baeumer, B.4
  • 16
    • 31144434675 scopus 로고    scopus 로고
    • From diffusion to anomalous diffusion: A century after Einstein's Brownian motion
    • Sokolov, I. M., and J. Klafter (2005), From diffusion to anomalous diffusion: A century after Einstein's Brownian motion, Chaos, 15, 026103.
    • (2005) Chaos , vol.15 , pp. 026103
    • Sokolov, I.M.1    Klafter, J.2
  • 17
    • 2442679060 scopus 로고    scopus 로고
    • Distributed-order fractional finetics
    • Sokolov, I. M., A. V. Chechkin, and J. Klafter (2004), Distributed-order fractional finetics, Acta Phys. Pol. B, 35(4), 1323-1341.
    • (2004) Acta Phys. Pol. B , vol.35 , Issue.4 , pp. 1323-1341
    • Sokolov, I.M.1    Chechkin, A.V.2    Klafter, J.3
  • 18
    • 0036822606 scopus 로고    scopus 로고
    • Dispersion of groundwater age in an alluvial aquifer system
    • doi:10.1029/2001WR000907
    • Weissmann, G. S., Y. Zhang, E. M. LaBolle, and G. E. Fogg (2002), Dispersion of groundwater age in an alluvial aquifer system, Water Resour. Res., 38(10), 1198, doi:10.1029/2001WR000907.
    • (2002) Water Resour. Res , vol.38 , Issue.10 , pp. 1198
    • Weissmann, G.S.1    Zhang, Y.2    LaBolle, E.M.3    Fogg, G.E.4
  • 19
    • 36649038777 scopus 로고    scopus 로고
    • Persistence of anomalous dispersion in uniform porous media demonstrated by pore-scale simulations
    • doi:10,1029/2006WR005557
    • Zhang, X., and M. Lv (2007), Persistence of anomalous dispersion in uniform porous media demonstrated by pore-scale simulations, Water Resour. Res., 43, W07437, doi:10,1029/2006WR005557.
    • (2007) Water Resour. Res , vol.43
    • Zhang, X.1    Lv, M.2
  • 20
    • 33646494026 scopus 로고    scopus 로고
    • On using random walks to solve the space-fractional advection-dispersion equations
    • Zhang, Y., D. A. Benson, M. M. Meerschaert, and H.-P. Scheffler (2006), On using random walks to solve the space-fractional advection-dispersion equations, J. Stat. Phys., 123(1), 89-110.
    • (2006) J. Stat. Phys , vol.123 , Issue.1 , pp. 89-110
    • Zhang, Y.1    Benson, D.A.2    Meerschaert, M.M.3    Scheffler, H.-P.4
  • 21
    • 34347257117 scopus 로고    scopus 로고
    • Predicting the tails of breakthrough curves in regional-scale alluvial systems
    • Zhang, Y., D. A. Benson, and B. Baeumer (2007), Predicting the tails of breakthrough curves in regional-scale alluvial systems, Ground Water, 45(4), 473-484.
    • (2007) Ground Water , vol.45 , Issue.4 , pp. 473-484
    • Zhang, Y.1    Benson, D.A.2    Baeumer, B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.