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  • 1
    Electronic Resource
    Electronic Resource
    Susceptibility of the rectangular Ising ferromagnet (1978)
    Springer
    Journal of statistical physics 19 (1978), S. 349-358 
    Details
    ISSN: 1572-9613
    Keywords: Ising model ; lattice statistic ; two-dimensional systems ; critical indices ; transfer matrix ; correlation length
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The critical index valuesγ= 7/4 for the susceptibility andδ=15 for the critical isotherm are derived rigorously for the rectangular Ising ferromagnet with nearest neighbor interactions. The critical indices associated with the Fisher moment definition of the correlation length are obtained asT→T c+. The index of the fluctuation sum definition of critical correlations is obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01011754
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  • 2
    Electronic Resource
    Electronic Resource
    Finite-size effects in surface tension. I. Fluctuating interfaces (1991)
    Springer
    Journal of statistical physics 63 (1991), S. 1077-1096 
    Details
    ISSN: 1572-9613
    Keywords: Ising model ; interfaces ; finite-size effects ; Monte Carlo
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We consider a two-dimensional Ising cylinder of circumferenceM and heightN, with a floating interface introduced by the appropriate boundary conditions. An exact analysis of the finite-size effects in surface tension is given and the scaling function for all temperatures is calculated. The results are compared with the Monte Carlo data of Mon and Jasnow.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01030000
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    The wetting transition in a random surface model (1991)
    Springer
    Journal of statistical physics 63 (1991), S. 1097-1111 
    Details
    ISSN: 1572-9613
    Keywords: Wetting ; random surface ; Ising model ; monolayer
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We continue our analysis of the phase diagram of a discrete random surface, with no “downward fingers,” lying above a flat two-dimensional substrate. The surface is closely related to the 2D Ising model and its free energy is exactly solvable in much (but not all) of the phase diagram. There is a transition at temperatureT w from a high-T infinite height or wet phase to a low-T finite height or partially wet phase. Previously it was shown that when a parameterb, related to the contact interaction, is positive,T w is independent ofb and there is a logarithmic specific heat divergence asT w is approached fromeither side. Here we show that forb〈0,T w does depend onb and there isno thermodynamic singularity from the wet phase. The partially wet phases forb⩽0 andb〉0 differ in the absence or presence of a monolayer covering the entire substrate; this results in a first-order transition across the lineb=0,T〈T w.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01030001
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    Paper (German National Licenses)
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  • 4
    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)
    Fulltext
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