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  • Eddies
  • Turbulence
  • Springer  (6)
  • Acoustical Society of America
  • American Meteorological Society
  • MDPI Publishing
  • Nature P. G.
  • 1975-1979  (6)
Collection
Keywords
Publisher
  • Springer  (6)
  • Acoustical Society of America
  • American Meteorological Society
  • MDPI Publishing
  • Nature P. G.
Years
Year
  • 1
    Electronic Resource
    Electronic Resource
    Metastable chaos: The transition to sustained chaotic behavior in the Lorenz model (1979)
    Springer
    Journal of statistical physics 21 (1979), S. 263-277 
    Details
    ISSN: 1572-9613
    Keywords: Turbulence ; chaos ; Lorenz system
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The system of equations introduced by Lorenz to model turbulent convective flow is studied here for Rayleigh numbersr somewhat smaller than the critical value required for sustained chaotic behavior. In this regime the system is found to exhibit transient chaotic behavior. Some statistical properties of this transient chaos are examined numerically. A mean decay time from chaos to steady flow is found and its dependence uponr is studied both numerically and (very close to the criticalr) analytically.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01011469
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  • 2
    Electronic Resource
    Electronic Resource
    On the statistical dynamics of the Lorenz model (1979)
    Springer
    Journal of statistical physics 20 (1979), S. 695-709 
    Details
    ISSN: 1572-9613
    Keywords: Turbulence ; Rayleigh-Bénard layer ; random behavior of nonlinear differential equations ; fluctuation spectra ; stochastic differential equations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We use the theory of stochastic differential equations with rapidly fluctuating coefficients to study the statistical dynamics of the Lorenz model in the turbulent region. On the assumption that the system is ergodic we are able to calculate self-consistently several basic statistical quantities in terms of the parameters of the model. Our results are in good agreement with numerical computations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01009519
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  • 3
    Electronic Resource
    Electronic Resource
    Horizontal eddy diffusivities in the northern hemispheric stratosphere and lower mesosphere (1978)
    Springer
    Pure and applied geophysics 117 (1978), S. 537-547 
    Details
    ISSN: 1420-9136
    Keywords: Turbulence ; Transport processes ; turbulent ; Turbulence transport in stratosphere ; mesosphere
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract Meterological rocket soundings, launched between 1969–74 at six locations representative of low, middle, and high altitudes, are employed with the use of the statistical theory of diffusion, to determine the zonal and meridional component of eddy diffusivity between 30 and 55 km as a function of season, latitude, and altitude. A comparison is also made between annually-averaged eddy diffusivities above and below 30 km. It is shown that the zonal component of eddy diffusivity is approximately three to five times as large as the meridional component, in most cases. Both components of eddy diffusivity vary greatly with season, latitude, and altitude. Highest eddy diffusivities, found in the vicinity of the winter westerly jet, are approximately one order of magnitude higher than those present during the summer. Tropical eddy diffusivities, however, remain relatively small throughout the year. Annually, a minimum is indicated near 25 km between maximums located at the stratopause and tropopause.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00876633
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  • 4
    Electronic Resource
    Electronic Resource
    Flicker noise of ion-selective membranes and turbulent convection in the depleted layer (1978)
    Springer
    European biophysics journal 4 (1978), S. 53-65 
    Details
    ISSN: 1432-1017
    Keywords: Noise ; Membranes ; Ion selectivity ; Convection ; Turbulence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Physics
    Notes: Abstract Flicker noise of electric currents through ion-selective membranes is explained. It is attributed to the depletion of salt on one side of the membrane, which creates a thin layer of high resistance. Joule heating in this depletion layer and the ensuing temperature gradient, as well as the concentration gradient, give rise to buoyant forces which may create a turbulent convection current. The turbulence mixes the depletion layer so that the electric resistance fluctuates, and consequently the current flickers. Experiments with ion-selective membranes support this conjecture. They show that 1) Noise is coincident with the increase of the electric resistance by the depletion process. 2) When the current density is reduced, it reaches a critical value, below which the convection current changes from turbulent to laminar, and the noise disappears. 3) Noise reduces with temperature, because the expansion coefficient of water decreases with temperature, and its viscosity increases. 4) A non-ionic water-soluble polymer added to the compartment on the side of the depletion layer reduces the noise, by increasing the bulk viscosity of the solution. 5) Noise depends on the membrane's orientation in the gravitational field. 6) The convection-current in the depletion layer can be observed directly, using a laser-beam, by adding latex particles which create optical noise as they drift with the convection current across the beam. The optical noise is observed only coincidently with the current noise.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00538840
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  • 5
    Electronic Resource
    Electronic Resource
    Time fluctuations of small ion number density in the atmospheric surface layer (1977)
    Springer
    Pure and applied geophysics 115 (1977), S. 561-574 
    Details
    ISSN: 1420-9136
    Keywords: Atmospheric electricity ; Small ions ; Stability ; Turbulence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract The standard deviations and time-spectra of small ion number density have been measured at ground level under different atmospheric stability conditions. The auto-correlation correlograms and the time-spectra imply a scale of fluctuations corresponding to 1 to 4 min. No clear relationships between standard deviations of small ion number density and micro-meteorological parameters are observed. Thus the results are not a support for Monin-Obukhov similarity theory. For the highest frequencies the slopes of the spectra seem to follow the −5/3-law fairly well and the frequencies of the peak values of individual spectra lnfS(f) increase when the atmosphere stability increases, which is valid for ordinary micrometeorological parameters.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00876121
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  • 6
    Electronic Resource
    Electronic Resource
    Statistical dynamics of the Lorenz model (1976)
    Springer
    Journal of statistical physics 15 (1976), S. 455-475 
    Details
    ISSN: 1572-9613
    Keywords: Turbulence ; Rayleigh-Bénard layer ; random behavior of nonlinear differential equations ; fluctuation spectra ; dispersion relation representation ; relaxation kernel ; mode-mode coupling
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The dynamics of the Lorenz model in the “turbulent” regime (r〉r T is investigated by applying methods for treating many-body systems. Symmetry properties are used to derive relations between correlation functions. The basic ones are evaluated numerically and discussed for several values of the parameterr. A theory for the spectra of the two independent relaxation functions is presented using a dispersion relation representation in terms of relaxation kernels and characteristic frequencies. Their role in the dynamics of the system is discussed and it is shown that their numerical values increase in proportion to √r. The approximation of the relaxation kernels that represent nonlinear coupling between the variables by a relaxation time expression and a simple mode coupling approximation, respectively, is shown to explain the two different fluctuation spectra. The coupling strength for the modes is determined by a Kubo relation imposing selfconsistency. Comparison with the “experimental” spectra is made for three values ofr.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01020800
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