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  • 1985-1989  (2)
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  • 1
    Electronic Resource
    Electronic Resource
    Statistics of directed self-avoiding walks on percolation clusters at the percolation threshold (1985)
    Springer
    The European physical journal 61 (1985), S. 205-208 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We here study directed self-avoiding walks on site diluted square lattice at the percolation threshold by two parameter real space renormalization group method. We found $$v_\parallel ^{p_c } = 1.00$$ and $$v_ \bot ^{p_c } = 0.4348$$ from cell-to-cell transformation method. This $$v_ \bot ^{p_c } $$ value is then compared with the modified Alexander-Orbach formula that $$v_ \bot ^{p_c } = {{d_S } \mathord{\left/ {\vphantom {{d_S } {2d_L }}} \right. \kern-\nulldelimiterspace} {2d_L }}$$ whered s is the fracton dimension andd L is the spreading dimension of the infinite directed percolation cluster.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01307777
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Random walk on a self-avoiding walk with superconducting local bridges (1989)
    Springer
    The European physical journal 74 (1989), S. 389-393 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Random walk on a self-avoiding walk with superconducting local bridges is studied by Real Space renormalization group technique. We enumerate SAWs in two dimensions for a square lattice by using corner rule and equal averaging method. For a SAW network with superconducting bridges we estimate the exponents for end to end resistance and linear part as 0.8625 and 0.81907 respectively. We also obtain the shortest path exponent τ=0.9782 by equal averaging technique.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01307888
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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