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  • 1
    Electronic Resource
    Electronic Resource
    On the absence of breakdown of symmetry for the plane rotator model with long-range random interaction (1983)
    Springer
    Journal of statistical physics 32 (1983), S. 627-648 
    Details
    ISSN: 1572-9613
    Keywords: Random interaction ; random variable long range ; spin glass ; relative entropy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We study the plane rotator model with hamiltonian $$ - \frac{1}{2}\sum\limits_{x \ne y} {J_{xy} \frac{{\cos (\theta _x - \theta _y )}}{{\left| {\left. {x - y} \right|} \right.^{3 + \in } }}}$$ whereJ xy for different pair (x, y) are independent symmetric random variables. It is proved that for almost allJ, all the Gibbs statesP(J) are rotation invariant.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01008960
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Upper bound on the decay of correlations in the plane rotator model with long-range random interaction (1984)
    Springer
    Journal of statistical physics 36 (1984), S. 489-516 
    Details
    ISSN: 1572-9613
    Keywords: Random interaction ; random variables ; long range ; spin glass
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We give an upper bound on the decay of correlation function for the plane rotator model with Hamiltonian $$ - \frac{1}{2}\mathop \sum \limits_{xy} \frac{{J_{xy} \cos (\theta _x - \theta _y )}}{{\| {x - y} \|^{({3 \mathord{\left/ {\vphantom {3 2}} \right. \kern-\nulldelimiterspace} 2} + \varepsilon )^d } }}$$ in dimensiond=1 andd=2 when (J xy are independent random variables with mean zero.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01010993
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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