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arXiv · 0804.3691

Lack of monotonicity in spin glass correlation functions

Pierluigi Contucci·Francesco Unguendoli·Cecilia Vernia
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Abstract

We study the response of a spin glass system with respect to the rescaling of its interaction random variables and investigate numerically the behaviour of the correlation functions with respect to the volume. While for a ferromagnet the local energy correlation functions increase monotonically with the scale and, by consequence, with respect to the volume of the system we find that in a general spin glass model those monotonicities are violated.

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Pierluigi Contucci, Francesco Unguendoli, Cecilia Vernia. 2008-04-23. Lack of monotonicity in spin glass correlation functions. https://doi.org/10.1088/1751-8113/41/38/385001

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