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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