Factorization Properties in the 3D Edwards-Anderson Model

Details Factorization Properties in the 3D Edwards-Anderson Model Factorization Properties in the 3D Edwards-Anderson Model

2005-03-07

arxiv.org/abs/cond-mat/0503155v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

Some comment, references and figures added

Scientific paper

10.1103/PhysRevB.72.014456

Starting from the study of a linear combination of multi-overlaps which can be rigorously shown to vanish for large systems we numerically analyze the factorization properties of the link-overlaps multi-distribution for the 3D Gaussian Edward-Anderson spin-glass model. We find evidence of a pure factorization law for the multi-correlation functions. For instance the quantity [ - ]/ tends to zero at increasing volumes. We also perform the same analysis for the standard overlap for which instead the lack of factorization persists increasing the size of the system. The necessity of a better understanding of the mutual relation between the two overlaps is pointed out.

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