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Volumn 36, Issue 8, 2009, Pages

Chaotic dynamics of super-diffusion revisited

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL EXPRESSIONS; APRIORI; BROWNIAN MOTION; CHAOTIC DYNAMICS; DIFFUSIVE MIXING; FINITE-SIZE LYAPUNOV EXPONENTS; FRACTIONAL BROWNIAN MOTION; FRACTURE FLOW; HURST EXPONENTS; MEAN-SQUARE DISPLACEMENT; NEAR-SURFACE CURRENTS; NONSTATIONARY; NUMERICAL EXAMPLE; STOCHASTIC PROCESS; TIME-DEPENDENT DIFFUSION COEFFICIENT;

EID: 67449142949     PISSN: 00948276     EISSN: None     Source Type: Journal    
DOI: 10.1029/2009GL037399     Document Type: Article
Times cited : (9)

References (31)
  • 1
    • 0031280861 scopus 로고    scopus 로고
    • Dispersion of passive tracers in closed basins: Beyond the diffusion coefficient
    • Artale, V., G. Boffetta, A. Celani, M. Cencini, and A. Vulpiani (1997), Dispersion of passive tracers in closed basins: Beyond the diffusion coefficient, Phys. Fluids, 9, 3162.
    • (1997) Phys. Fluids , vol.9 , pp. 3162
    • Artale, V.1    Boffetta, G.2    Celani, A.3    Cencini, M.4    Vulpiani, A.5
  • 3
    • 0031556902 scopus 로고    scopus 로고
    • Predictability in the large: An extension of the concept of Lyapunov exponent
    • Aurell, E., G. Boffetta, A. Crisanti, G. Paladin, and A. Vulpiani (1997), Predictability in the large: An extension of the concept of Lyapunov exponent, Physica A, 30, 1.
    • (1997) Physica A , vol.30 , pp. 1
    • Aurell, E.1    Boffetta, G.2    Crisanti, A.3    Paladin, G.4    Vulpiani, A.5
  • 4
    • 23944466359 scopus 로고    scopus 로고
    • Asymptotic properties and Hausdorff dimensions of fractional Brownian sheets
    • Ayache, A., and Y. Xiao (2005), Asymptotic properties and Hausdorff dimensions of fractional Brownian sheets, J. Fourier Anal. Appl., 11, 407.
    • (2005) J. Fourier Anal. Appl , vol.11 , pp. 407
    • Ayache, A.1    Xiao, Y.2
  • 6
    • 21344481403 scopus 로고
    • Nonequilibrium statistical mechanics of preasymptotic dispersion
    • Cushman, J. H., X. Hu, and T. R. Ginn (1994), Nonequilibrium statistical mechanics of preasymptotic dispersion, J. Stat. Phys., 75, 859.
    • (1994) J. Stat. Phys , vol.75 , pp. 859
    • Cushman, J.H.1    Hu, X.2    Ginn, T.R.3
  • 7
    • 28144444595 scopus 로고    scopus 로고
    • Super-diffusion via Lévy Lagrangian velocity processes
    • doi:10.1029/2005GL023645
    • Cushman, J. H., M. Park, N. Kleinfelter, and M. Moroni (2005), Super-diffusion via Lévy Lagrangian velocity processes, Geophys. Res. Lett., 32, L19816, doi:10.1029/2005GL023645.
    • (2005) Geophys. Res. Lett , vol.32
    • Cushman, J.H.1    Park, M.2    Kleinfelter, N.3    Moroni, M.4
  • 8
    • 0029413201 scopus 로고
    • On higher-order corrections to the flow velocity covariance tensor
    • Deng, F. W., and J. H. Cushman (1995), On higher-order corrections to the flow velocity covariance tensor, Water Res. Res., 31, 1659.
    • (1995) Water Res. Res , vol.31 , pp. 1659
    • Deng, F.W.1    Cushman, J.H.2
  • 10
    • 0037471122 scopus 로고    scopus 로고
    • Statistics of Lagrangian velocities in turbulent flows
    • Friedrich, R. (2003), Statistics of Lagrangian velocities in turbulent flows, Phys. Rev. Lett., 90, 1.
    • (2003) Phys. Rev. Lett , vol.90 , pp. 1
    • Friedrich, R.1
  • 11
    • 0032606438 scopus 로고    scopus 로고
    • Richardson pair dispersion in two-dimensional turbulence
    • Jullien, M., J. Paret, and P. Tabeling (1999), Richardson pair dispersion in two-dimensional turbulence, Phys. Rev. Lett., 82, 2872.
    • (1999) Phys. Rev. Lett , vol.82 , pp. 2872
    • Jullien, M.1    Paret, J.2    Tabeling, P.3
  • 13
    • 28144450152 scopus 로고    scopus 로고
    • Application of a finite-size Lyapunov exponent to particle tracking velocimetry in fluid mechanics experiments
    • Kleinfelter, N., M. Moroni, and J. H. Cushman (2005), Application of a finite-size Lyapunov exponent to particle tracking velocimetry in fluid mechanics experiments, Phys. Rev. E, 72, 056306.
    • (2005) Phys. Rev. E , vol.72 , pp. 056306
    • Kleinfelter, N.1    Moroni, M.2    Cushman, J.H.3
  • 15
    • 0015969022 scopus 로고
    • Intermittent turbulence in self-similar cascades - Divergence of high moments and dimension of carrier
    • Mandelbrot, B. B. (1974), Intermittent turbulence in self-similar cascades - Divergence of high moments and dimension of carrier, J. Fluid Mech., 62, 331.
    • (1974) J. Fluid Mech , vol.62 , pp. 331
    • Mandelbrot, B.B.1
  • 16
    • 0000501589 scopus 로고
    • Fractional Brownian motion, fractional noises and applications
    • Mandelbrot, B. B., and J. W. van Ness (1968), Fractional Brownian motion, fractional noises and applications, SIAM Rev., 10, 422.
    • (1968) SIAM Rev , vol.10 , pp. 422
    • Mandelbrot, B.B.1    van Ness, J.W.2
  • 17
    • 33947388341 scopus 로고    scopus 로고
    • Hurst exponents, Markov processes, and fractional Brownian motion
    • McCauley, J. L., G. H. Gunaratne, and K. E. Bassler (2007), Hurst exponents, Markov processes, and fractional Brownian motion, Physica A, 379, 1.
    • (2007) Physica A , vol.379 , pp. 1
    • McCauley, J.L.1    Gunaratne, G.H.2    Bassler, K.E.3
  • 18
    • 4243798524 scopus 로고    scopus 로고
    • Operator Lévy motion and multiscaling anomalous diffusion
    • Meerschaert, M. M., D. A. Benson, and B. Baeumer (2001), Operator Lévy motion and multiscaling anomalous diffusion, Phys. Rev. E, 63, 021112.
    • (2001) Phys. Rev. E , vol.63 , pp. 021112
    • Meerschaert, M.M.1    Benson, D.A.2    Baeumer, B.3
  • 19
    • 0345931708 scopus 로고    scopus 로고
    • Lagrangian velocity fluctuations in fully developed turbulence: Scaling and intermittency and dynamics
    • Mordant, N., J. Delour, E. Leveque, O. Michel, A. Arneodo, and J. F. Pinton (2003), Lagrangian velocity fluctuations in fully developed turbulence: Scaling and intermittency and dynamics, J. Stat. Phys., 113, 701.
    • (2003) J. Stat. Phys , vol.113 , pp. 701
    • Mordant, N.1    Delour, J.2    Leveque, E.3    Michel, O.4    Arneodo, A.5    Pinton, J.F.6
  • 20
    • 0034634848 scopus 로고    scopus 로고
    • An experimental investigation of the relative diffusion of particle pairs in three-dimensional turbulent flow
    • Ott, S., and J. Mann (2000), An experimental investigation of the relative diffusion of particle pairs in three-dimensional turbulent flow, J. Fluid Mech., 422, 207.
    • (2000) J. Fluid Mech , vol.422 , pp. 207
    • Ott, S.1    Mann, J.2
  • 21
    • 0032915735 scopus 로고    scopus 로고
    • Plume gamma dose evaluation under non-homogeneous non-stationary meteorological conditions using the particle trajectory model for short term releases
    • Oza, R. B., V. J. Daoo, V. Sitaraman, and T. M. Krishnamoorthy (1999), Plume gamma dose evaluation under non-homogeneous non-stationary meteorological conditions using the particle trajectory model for short term releases, Radiat. Prot. Dosimetry, 82(3), 201.
    • (1999) Radiat. Prot. Dosimetry , vol.82 , Issue.3 , pp. 201
    • Oza, R.B.1    Daoo, V.J.2    Sitaraman, V.3    Krishnamoorthy, T.M.4
  • 22
    • 34547152719 scopus 로고    scopus 로고
    • The finite-size Lyapunov exponent for Levy processes
    • Parashar, R., and J. H. Cushman (2007), The finite-size Lyapunov exponent for Levy processes, Phys. Rev. E, 76, 017201.
    • (2007) Phys. Rev. E , vol.76 , pp. 017201
    • Parashar, R.1    Cushman, J.H.2
  • 23
    • 33644618675 scopus 로고    scopus 로고
    • Scaling laws and Fokker-Planck equations for 3-dimensional porous media with fractal mesoscale
    • Park, M., N. Kleinfelter, and J. H. Cushman (2005), Scaling laws and Fokker-Planck equations for 3-dimensional porous media with fractal mesoscale, SIAM Muliiscale Modeling Simul., 4(4), 1233.
    • (2005) SIAM Muliiscale Modeling Simul , vol.4 , Issue.4 , pp. 1233
    • Park, M.1    Kleinfelter, N.2    Cushman, J.H.3
  • 24
    • 0000917473 scopus 로고
    • Atmospheric diffusion shown on a distance-neighbour graph
    • Richardson, L. F. (1926), Atmospheric diffusion shown on a distance-neighbour graph, Proc. R. Soc. London, Ser. A, 110, 709.
    • (1926) Proc. R. Soc. London, Ser. A , vol.110 , pp. 709
    • Richardson, L.F.1
  • 27
    • 0000885234 scopus 로고
    • Levy dynamics of enhanced diffusion-applications to turbulence
    • Shlesinger, M. F., B. J. West, and J. Klafter (1987), Levy dynamics of enhanced diffusion-applications to turbulence, Phys. Rev. Lett., 58, 1100.
    • (1987) Phys. Rev. Lett , vol.58 , pp. 1100
    • Shlesinger, M.F.1    West, B.J.2    Klafter, J.3
  • 28
    • 0023093311 scopus 로고
    • Criteria for the selection of stochastic models of particle trajectories in turbulent flows
    • Thomson, D. J. (1987), Criteria for the selection of stochastic models of particle trajectories in turbulent flows, J. Fluid Mech., 180, 529.
    • (1987) J. Fluid Mech , vol.180 , pp. 529
    • Thomson, D.J.1
  • 29
    • 0036768567 scopus 로고    scopus 로고
    • Time-series of zenith radiance and surface flux under cloudy skies: Radiative smoothing, optical thickness retrievals and large-scale stationarity
    • doi:10.1029/2001GL014153
    • von Savigny, C., A. B. Davis, O. Funk, and K. Pfeilsticker (2002), Time-series of zenith radiance and surface flux under cloudy skies: Radiative smoothing, optical thickness retrievals and large-scale stationarity, Geophys. Res. Lett, 29(17), 1825, doi:10.1029/2001GL014153.
    • (2002) Geophys. Res. Lett , vol.29 , Issue.17 , pp. 1825
    • von Savigny, C.1    Davis, A.B.2    Funk, O.3    Pfeilsticker, K.4
  • 30
    • 0001336176 scopus 로고    scopus 로고
    • Anomalous diffusion resulting from strongly asymmetric random walks
    • Weeks, E. R., and H. L. Swinney (1998), Anomalous diffusion resulting from strongly asymmetric random walks, Phys. Rev. E, 57, 4915.
    • (1998) Phys. Rev. E , vol.57 , pp. 4915
    • Weeks, E.R.1    Swinney, H.L.2
  • 31
    • 0010844664 scopus 로고
    • Transient A + B ≥ 0 reaction on fractals: Stochastic and deterministic aspects
    • Zumofen, G., J. Klafter, and A. Blumen (1991), Transient A + B ≥ 0 reaction on fractals: Stochastic and deterministic aspects, J. Stat. Phys., 65, 1015.
    • (1991) J. Stat. Phys , vol.65 , pp. 1015
    • Zumofen, G.1    Klafter, J.2    Blumen, A.3


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