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  • 1
    Electronic Resource
    Electronic Resource
    Interface profile of the Ising ferromagnet in two dimensions (1976)
    Springer
    Communications in mathematical physics 49 (1976), S. 35-46 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The interface profile of the two-dimensional Ising ferromagnet is obtained for all temperatures in the thermodynamic limit. The width of the interface depends on its length as (length)1/2.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01608634
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  • 2
    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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  • 3
    Electronic Resource
    Electronic Resource
    Block spins in the edge of an Ising ferromagnetic half-plane (1978)
    Springer
    Journal of statistical physics 19 (1978), S. 553-556 
    Details
    ISSN: 1572-9613
    Keywords: Block spins ; Ising ferromagnet ; half-plane edge ; Gaussian distribution
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The characteristic function of a block spin in the face of an Ising ferromagnetic half-plane is obtained in closed form. The distribution function for the block spin converges to a Gaussian at the critical temperature, but the normalization of the block is modified.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01011699
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Odd operators and spinor algebras in lattice statistics:n-point functions for the rectangular Ising model (1978)
    Springer
    Communications in mathematical physics 59 (1978), S. 17-34 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract An extension is given of the development by Schultz et al. [3] of the pioneering work of Kaufman and Onsager [2] on the planar Ising ferromagnet. This involves a novel form of Wick's theorem [19] for fermions. In subsequent papers the method will be applied to determine then-point functions and to evaluate rigorously critical indices.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01614152
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Pair function for the rectangular Ising ferromagnet (1978)
    Springer
    Communications in mathematical physics 60 (1978), S. 181-191 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract A representation of the pair correlation function for the rectangular Ising model in zero magnetic field is derived using a new spinor technique; this enables the scaling limit to be established, as well as several analytical properties of the scaling functions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01609448
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  • 6
    Electronic Resource
    Electronic Resource
    n-point functions for the rectangular Ising ferromagnet (1978)
    Springer
    Communications in mathematical physics 60 (1978), S. 205-213 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract A new representation for then-point functions of the Planar Ising ferromagnet is given. Below the critical temperature the boundary conditions are toroidal; the state is a superposition of the extremal invariant ones, with equal weights.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01612889
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  • 7
    Electronic Resource
    Electronic Resource
    Lattice models of hydrogen-bonded solvents. II (1975)
    Springer
    Journal of statistical physics 13 (1975), S. 461-472 
    Details
    ISSN: 1572-9613
    Keywords: Polymer ; hydrogen bond ; phase transition ; liquid crystals ; zeros of partition function ; lattice model ; ferroelectric model ; 16-vertex problem
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We consider a lattice model of a binary mixture in which each molecule of one component can form zero, one, or two bonds to molecules of the same species on neighboring vertices of the square lattice. We allow the energy of molecules with two bonds to depend on the valence angle, thus generalizing the first paper in this series. If “straight” polymeric configurations are favored over all others, then a phase transition occurs for low enough temperature. On the other hand, if bent configurations are favored, there is no phase transition. Analogous results are obtained for the hexagonal lattice, where we distinguish energetically betweencis andtrans isomerism of four bonded molecules.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01013145
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    Paper (German National Licenses)
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