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Upper bound on the decay of correlations in the plane rotator model with long-range random interaction (1984)

Picco, P.

Springer

Journal of statistical physics 36 (1984), S. 489-516

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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

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