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  • 1980-1984  (2)
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  • 1
    Electronic Resource
    Electronic Resource
    Random surface correlation functions (1984)
    Springer
    Communications in mathematical physics 96 (1984), S. 439-471 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Truncated pair functions for free random surface models and Bernoulli ensembles are examined. In both cases, the pair function is shown to obey Ornstein-Zernike scaling whenever various correlation lengths of the system satisfy a nonperturbative criterion. Under the same conditions, the transverse displacement of surfaces contributing to the pair function is shown to be normally distributed. A new type of transition, which concerns the width of typical surfaces, is introduced and studied. Whenever the system is below the melting transition temperature of a related lower-dimensional model, the width of typical surfaces is shown to be finite. A thermodynamic formalism for free random surface models is developed. The formalism is used to obtain sharp estimates of the entropy of surfaces contributing to the pair function.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01212530
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Surfaces and roughening (1984)
    Springer
    Journal of statistical physics 34 (1984), S. 793-801 
    Details
    ISSN: 1572-9613
    Keywords: Surfaces ; roughening
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Some recent results in the application of statistical mechanics to surfaces are discussed. Only exactly soluable models are described. First, we consider phase separation below the critical temperature in uniaxial ferromagnets and their analogs. We then consider the determination of the equilibrium shape of a crystal having fixed volume, given the orientation-dependent surface tension, using the Wulff construction.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01009441
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    Paper (German National Licenses)
    Fulltext
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