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  • 1
    Electronic Resource
    Electronic Resource
    Theta-point exponent for polymer chains on percolation fractals (1990)
    Springer
    Journal of statistical physics 61 (1990), S. 903-908 
    Details
    ISSN: 1572-9613
    Keywords: Theta point ; self-avoiding walks ; percolation ; fractals ; random walks ; Flory approximation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We derive a new expression for the Flory exponent describing the average radius of gyration of polymer chains at the theta point. For this we make use of the appropriate distribution function for the radius of gyration. We start from Euclidean lattices and extend the results to percolation fractals, by taking into account the basic geometry and the topology of such structures. We show that such basic features have a very prominent effect on the Flory exponent of the chain polymer on fractals at the theta point.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01027309
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Theory of self-avoiding walks on percolation fractals (1990)
    Springer
    Journal of statistical physics 59 (1990), S. 1581-1588 
    Details
    ISSN: 1572-9613
    Keywords: Self-avoiding walks ; percolation ; fractals ; random walks ; shortest path
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A phenomenological approach which takes into account the basic geometry and topology of percolation fractal structures and of self-avoiding walks (SAW) is used to derive a new expression for the Flory exponent describing the average radius of gyration of SAWs on fractals. We focus on the radius of gyration and discuss the importance of the intrinsic fractal dimensions of percolation clusters in determining the lower and upper critical dimensions of SAWs. The mean-field version of our new formula corresponds to the Aharony and Harris expression, who used the standard Flory approach for its derivation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01334765
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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