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On the absence of breakdown of symmetry for the plane rotator model with long-range random interaction (1983)

Picco, P.

Springer

Journal of statistical physics 32 (1983), S. 627-648

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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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