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  • 1
    Electronic Resource
    Electronic Resource
    An exactly solved model with a wetting transition (1986)
    Springer
    Journal of statistical physics 43 (1986), S. 621-643 
    Details
    ISSN: 1572-9613
    Keywords: Wetting transition ; exact solution ; random walk ; S.O.S. model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A model of a binary mixture, showing a wetting transition, is examined. No prewetting phenomena are found. The scaling functions are obtained for the film thickness and for the correlation lengths.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01020656
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Yang-Lee zeros of a planar Ising model with a boundary magnetic field (1987)
    Springer
    Communications in mathematical physics 108 (1987), S. 13-23 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract A planar Ising ferromagnet is investigated with a magnetic field acting on one surface. The Yang-Lee zeros associated with this field are located exactly on the imaginary axis and their limiting distribution is given. Above the critical temperature, this distribution has a gap, near which the pair correlation for spins in the surface exhibits cirtical behaviour. The zeros of certain antiferromagnets are located, in particular those for an antiferromagnetic ring coupled ferromagnetically to a planar Ising ferromagnet.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01210700
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Surfaces and Peierls contours: 3-d wetting and 2-d Ising percolation (1989)
    Springer
    Communications in mathematical physics 125 (1989), S. 181-200 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract A natural model of a discrete random surface lying above a two-dimensional substrate is presented and analyzed. An identification of the “level curves” of the surface with the Peierls contours of Ising spin configurations leads to an exactly solvable free energy, with logarithmically divergent specific heat. The thermodynamic critical point is shown to be a wetting transition at which the surface height diverges. This is so even though the surface has no “downward fingers” and hence no “entropic repulsion” from the substrate.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01217776
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Finite-size corrections for inclined interfaces in two dimensions: Exact results for Ising and solid-on-solid models (1988)
    Springer
    Journal of statistical physics 53 (1988), S. 1041-1059 
    Details
    ISSN: 1572-9613
    Keywords: Finite-size properties ; Ising models ; surface tension ; solid-on-solid approximation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Analysis of finite-size corrections for the surface tension and surface stiffness coefficients in two-dimensional models with inclined interfaces is presented. We obtain a universal leading contribution proportional to (lnL)/L for the 2D system of sizeL. By explicit calculations for restricted and unrestricted solid-on-solid models and the square lattice Ising model, we demonstrate the Gaussian nature of rough interfaces with fixed ends, and derive the leading 1/L-type corrections for appropriate surface quantities.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01023856
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  • 5
    Electronic Resource
    Electronic Resource
    Transfer matrix spectrum for the finite-width Ising model with adjustable boundary conditions: Exact solution (1989)
    Springer
    Journal of statistical physics 56 (1989), S. 563-587 
    Details
    ISSN: 1572-9613
    Keywords: Ising model ; finite-size transfer matrix ; spectral properties ; mass gap ; adjustable boundary conditions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Using the spinor approach, we calculate exactly the complete spectrum of the transfer matrix for the finite-width, planar Ising model with adjustable boundary conditions. Specifically, in order to control the boundary conditions, we consider an Ising model wrapped around the cylinder, and introduce along the axis a “seam” of defect bonds of variable strength. Depending on the boundary conditions used, the mass gap is found to vanish algebraically or exponentially with the size of the system. These results are compared with recent numerical simulations, and with random-walk and capillary-wave arguments.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01016767
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    Paper (German National Licenses)
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