Lack of monotonicity in spin glass correlation functions

Details Lack of monotonicity in spin glass correlation functions Lack of monotonicity in spin glass correlation functions

2008-04-23

arxiv.org/abs/0804.3691v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, 2 figures

Scientific paper

10.1088/1751-8113/41/38/385001

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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