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  • 1
    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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