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  • 1
    Electronic Resource
    Electronic Resource
    Cluster numbers by series in directed percolation (1986)
    Springer
    The European physical journal 62 (1986), S. 239-244 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Cluster numbersn s from exact expansions for directed percolation in dimensions 2 to 4 are studied at various probability values. The main considerations as regards the asymptotic behaviour are that: $$(i) n_s \propto \exp ( - const s^Z ) for p〈 p_c (Z = 1) and p 〉 p_c \left( {Z = 1 - \frac{1}{d}} \right).$$ (ii) at the critical thresholdn s ∼s −τ+1, although the data can only be reconciled with existing estimates for the exponent if the scaling ansatz is refined to include a first correction.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01323436
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  • 2
    Electronic Resource
    Electronic Resource
    Directed-site percolation clusters: The scaling function in dimensions two to six (1988)
    Springer
    The European physical journal 70 (1988), S. 203-208 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Exact series for lattices of dimension between 2 and 6 are used to report on the asymptotic features of the scaling function for the average number of clusters in directed percolation, close to, and away from, the most recent estimated intervals forp c . Scanning of the noncritical regions yields exponent ranges compatible with the undirected percolation equivalents. Close top c the scaling function varies fairly linearly in terms of the variablez=(p−p c )s σ and this result is rather stable particularly bearing in mind the modestly available precision forp c in higher dimensionalities.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01318300
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    On the confluent singularity for bond-weighted undirected animals (1985)
    Springer
    The European physical journal 58 (1985), S. 155-156 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Analyses of the expansions for bond weighted undirected site animals give support to an estimate range for the first confluent singularity overlapping with that for the total number of animals (in two dimensions).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01304268
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  • 4
    Electronic Resource
    Electronic Resource
    Collapse transition and cyclomatic number distribution of directed lattice animals (1987)
    Springer
    Journal of statistical physics 49 (1987), S. 245-260 
    Details
    ISSN: 1572-9613
    Keywords: Collapse transition ; directed lattice animals
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We computed the specific heat of directed lattice animals using a Monte Carlo method for various animals sizesN, withN up to 100 on the square andN up to 125 on the simple cubic lattices. The specific heat as a function of the temperature for various animal sizes exhibits peaks which seem to approach a collapse transition temperature monotonically from below with increasingN. A least square fit together with finite-size scaling then gives both the transition temperature Tc and the specific heat exponent α for these two lattices. The cyclomatic number distributions for the number of animals with fixed animal sizeN are also calculated and these seem to obey a scaling law for largeN.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01009961
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  • 5
    Electronic Resource
    Electronic Resource
    Relaxation Monte Carlo for 3D branched polymers: The leading confluence exponent (1989)
    Springer
    Journal of statistical physics 56 (1989), S. 951-955 
    Details
    ISSN: 1572-9613
    Keywords: Branched polymers ; relaxation ; Monte Carlo ; correction to scaling
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A relaxation study of simple-cubic site trees taking 18 months of CDC Cyber computer time is used to estimate the radius-of-gyration dependence on the size, both as regards the correlation exponent and the confluent correction. The latter is found to be compatible with an analytic term within the uncertainty limits. The radius prefactor is estimated as 0.542±0.005 and the limiting site perimeter-to-size ratio as 2.905±0.005.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01016788
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    Paper (German National Licenses)
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