We study the three-dimensional Gaussian Edwards-Anderson model and find numerical evidence of a simple factorization law of the link-overlaps distributions at large 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. Our results open new perspectives in the study of the two different overlaps emphasizing the importance of the concept of factorization-triviality to distiniguish their role. © 2005 The American Physical Society.
Factorization properties in the three-dimensional Edwards-Anderson model / P., Contucci; Giardina', Cristian. - In: PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS. - ISSN 1098-0121. - ELETTRONICO. - 72:(2005), pp. 014456/1-014456/5. [10.1103/PhysRevB.72.014456]
Factorization properties in the three-dimensional Edwards-Anderson model
GIARDINA', Cristian
2005
Abstract
We study the three-dimensional Gaussian Edwards-Anderson model and find numerical evidence of a simple factorization law of the link-overlaps distributions at large 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. Our results open new perspectives in the study of the two different overlaps emphasizing the importance of the concept of factorization-triviality to distiniguish their role. © 2005 The American Physical Society.
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