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  • 1985-1989  (6)
Document type
Publisher
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Year
  • 1
    Electronic Resource
    Electronic Resource
    Diffusion and trapping on a nested fractal structure (1985)
    Springer
    The European physical journal 59 (1985), S. 197-206 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We consider the spreading of an ensemble of phase points on a nested hierarchy of levels whose spatial extension scales self-similar. In order to model turbulent pair separation, a deterministic dynamical law is defined that maps a given scale to all (infinitely many) smaller scales and also to the next larger scale. The model can be solved analytically. We find anomalous diffusion (exponential increase of the variance) or trapping (finite limiting value of low order moments) depending on the dominance of level-up or level-down mapping.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01725538
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Decay and diffusion in hierarchically organized systems (1988)
    Springer
    The European physical journal 70 (1988), S. 101-114 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The interplay of decay and diffusion in a hierarchical system is investigated studying the properties of the underlying master equation. The long time behaviour of the total number of particles in the system is analyzed and the regions in the parameter plane where the decay is diffusion-limited are determined. The influence of the decay on the diffusional spreading is also investigated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01320545
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Long time tail correlations in discrete chaotic dynamics (1985)
    Springer
    The European physical journal 60 (1985), S. 79-85 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A scaling relation is derived connecting the exponent of the algebraically decaying correlation and response functions with the degree of intermittency and the order of the maximum. It is universal, i.e. within a large class independent of the correlated variables. This implies universal 1/f-like spectra. The corrections to scaling are investigated, too.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01312646
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Static structure function of turbulent flow from the Navier-Stokes equations (1987)
    Springer
    The European physical journal 66 (1987), S. 289-304 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The velocity field of a fully developed isotropic turbulent flow is decomposed into a smoothed fieldu i (r) and a strongly fluctuating partũ i (r) depending on a lengthr which is varied through all scales. The eddies described byu i (r) loose their energy either by direct dissipation or by energy transfer to theũ i (r) -eddies. Both contributions can be traced back to the second order static structure functionD(r) and the Lagrangian time correlation function. The latter can also be evaluated in terms ofD(r). The energy balance then gives an integro-differential equation forD(r) which determinesD(r) uniquely. The solution is not only in agreement with the scaling behaviour in the viscous and inertial subranges as predicted by dimensional arguments, but it also gives the correct transition between the two regimes. A comparison with experimental data is offered.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01305419
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Random walk on a fractal: Eigenvalue analysis (1985)
    Springer
    The European physical journal 60 (1985), S. 401-414 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The eigenvalues of the master equation describing the motion on a nested hierarchy ofd-dimensional intervals with selfsimilar scaling of spatial extension as well as of the level dependent transition rates are derived. Based on this spectrum the diffusion behaviour is obtained, which is anomalous, either exponential or obeying a power law with various exponents. Emphasis is put on the insight into the mechanism of the anomalous diffusion, in particular the geometrical structure of the decay rate spectrum.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01304462
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    Fission channels in258Fm (1986)
    Springer
    The European physical journal 325 (1986), S. 241-242 
    Details
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Quantum effects generate “channels” which guide a nucleus from ground state to scission. We present here the channels of258Fm and relate them to the measured kinetic energies of the fission products, to the mass asymmetry and to the relative abundance of the various fission components. The microscopic reason is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01289657
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    Paper (German National Licenses)
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