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  • 1
    Electronic Resource
    Electronic Resource
    Monte Carlo evidence for the deviation from the Alexander-Orbach rule in three-dimensional percolation (1987)
    Springer
    Journal of statistical physics 49 (1987), S. 849-854 
    Details
    ISSN: 1572-9613
    Keywords: Percolation ; diffusion ; vector computer ; Alexander-Orbach rule ; and in the labyrinth
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Computer simulation is used to study the diffusion at the percolation threshold on large simple cubic lattices. The exponentk for the rms displacementr witht inr ∼ tk is found to be smaller than 0.2, while the Alexander-Orbach 4/3 rule for the spectral dimension predictsk=0.201 ± 0.002.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01009361
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  • 2
    Electronic Resource
    Electronic Resource
    Possible symmetrization of Fisher's droplet picture nearT c : A bubble-droplet formula (1971)
    Springer
    Journal of statistical physics 3 (1971), S. 323-330 
    Details
    ISSN: 1572-9613
    Keywords: Surface tension ; scaling laws ; droplet model ; critical point
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An expression for the pressure is proposed which leads to a symmetric equation of state for liquid and gas near the critical point. Our “bubble-droplet” formula is similar to Fisher's cluster expansion but contains an additional term due to the density dependence of the surface tension. Also, it assumes the density difference between a droplet (or bubble) and the surrounding medium to be proportional tol − 1/δ and not to be independent of the droplet sizel. Then, the scaling homogeneity assumption and some scaling laws, includingdν=2−α, can be derived (d is dimensionality). The additional assumption of spherical droplets and bubbles leads to a new scaling law 1+β=(d−1)ν, which is only slightly violated in the lattice gas ford=2, 3, 4.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01011387
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Vectorized multisite coding for hydrodynamic cellular automata (1989)
    Springer
    Journal of statistical physics 57 (1989), S. 399-403 
    Details
    ISSN: 1572-9613
    Keywords: Multi-spin coding ; vector computer ; hydrodynamics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Simulating eight lattices for Pomeau's cellular automata simultaneously through bit-per-bit operations, a vectorized Fortran program reached 30 million updates per second and per Cray YMP processor. We give the full innermost loops.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01023652
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Monte Carlo study of the surface area of liquid droplets (1972)
    Springer
    Journal of statistical physics 6 (1972), S. 49-59 
    Details
    ISSN: 1572-9613
    Keywords: Monte Carlo ; lattice gas ; surface area ; surface tension ; droplet model ; critical point ; scaling laws ; nucleation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Computer simulation of droplets containingl molecules (l ⩽ 1000) in a lattice gas shows that the average surface area is proportional tol σ′;σ′≃ 0.6 in two and σ′= 0.825 in three dimensions for small droplets. These exponents agree approximately with those in Kadanoff's modification of Fisher's droplet model near critical points [σ′= (1 + β)/βδ; ourT/T c is 0.4, 0.7, and 0.9]. For larger droplets, these exponents change to 1/2 (d = 2) and 2/3 (d = 3), the transition occurring for droplet diameters larger than the coherence length and smaller than the critical diameter in the nucleation of supersaturated vapors. This latter result rises some doubts on a recent nucleation theory of Eggingtonet al.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01060201
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  • 5
    Electronic Resource
    Electronic Resource
    A transfer matrix program to calculate the conductivity of random resistor networks (1984)
    Springer
    Journal of statistical physics 36 (1984), S. 31-42 
    Details
    ISSN: 1572-9613
    Keywords: Percolation ; transfer matrix ; random resistor network ; FORTRAN program ; vector computer
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We describe technical details on a new method of calculating the conductivity of random resistor networks which uses transfer matrix ideas. We give a program which calculates the conductivity of three-dimensional bars, and we provide a few comments on the advantages of this method and its performances.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01015724
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    Paper (German National Licenses)
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