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
Permalink