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  • Ising model  (2)
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  • 1
    Electronic Resource
    Electronic Resource
    Absence of first-order phase transitions for antiferromagnetic systems (1993)
    Springer
    Journal of statistical physics 70 (1993), S. 1391-1400 
    Details
    ISSN: 1572-9613
    Keywords: Phase transition ; antiferromagnet ; Gibbs state ; free energy ; pressure ; Ising model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We consider a spin system with nearest-neighbor antiferromagnetic pair interactions in a two-dimensional lattice. We prove that the free energy of this system is differentiable with respect to the uniform external fieldh, for all temperatures and allh. This implies the absence of a first-order phase transition in this system.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01049441
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Some correlation inequalities for Ising antiferromagnets (1989)
    Springer
    Journal of statistical physics 57 (1989), S. 1049-1058 
    Details
    ISSN: 1572-9613
    Keywords: Antiferromagnet ; correlation inequalities ; Ising model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We prove some inequalities for two-point correlations of Ising antiferromagnets and derive inequalities relating correlations of ferromagnets to correlations of antiferromagnets whose interactions and field strengths have equal magnitudes. The proofs are based on the method of duplicate spin variables introduced by J. Percus and used by several authors to derive correlation inequalities for Ising ferromagnets.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01020047
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    Paper (German National Licenses)
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