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.
Lack of monotonicity in spin glass correlation functions / P., Contucci; Unguendoli, Francesco; Vernia, Cecilia. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - STAMPA. - 41:38(2008), pp. 385001-385006. [10.1088/1751-8113/41/38/385001]
Lack of monotonicity in spin glass correlation functions
UNGUENDOLI, Francesco;VERNIA, Cecilia
2008
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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