Answer to Comment on "Ultrametricity in the Edwards-Anderson Model" arXiv:0709.0894

Details Answer to Comment on "Ultrametricity in the Edwards-Anderson Model" arXiv:0709.0894 Answer to Comment on "Ultrametricity in the Edwards-Anderson Model" arXiv:0709.0894

2007-12-10

arxiv.org/abs/0712.1431v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

2 pages, 1 figure; abstract replaced, typos corrected

Scientific paper

This reply shows that the argument presented in the comment by Jorg and Krzakala (cond mat 0709.0894) cannot be used to weaken the results presented in our paper on ultrametricity evidence in the 3d Edwards Anderson model (PRL 99, 057206, 2007; cond-mat/0607376). Our work in fact was mainly based on identifying the scaling law that governs the large volume approach to ultrametricity while NO asymptotic analysis has been done in (cond mat 0709.0894). We show here that the same method we used in our paper, when properly applied to the 2d case, reveals the expected lack of RSB picture at positive temperature, despite the fact that for a fixed finite volume some ultrametric features might still be seen in the joint overlap probability distribution. Those features disappear for increasing volume or when the system is away from the critical curve in the (T,d) plane.

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