In this paper we reply to a critical comment by T. Jorg and F. Krzakala to the Letter "Ultrametricity in the Edwards-Anderson Model" PRL 99, 057206 (2007). We show that the procedure developed in the aforementioned paper to detect ultrametricity is able to discriminate the non-ultrametric behavior of the two-dimensional Edwards-Anderson model from the ultrametric three-dimensional one. Moreover, the interesting finding of Jorg and Krzakala that in the two-dimensional Edwards-Anderson model three random configurations have ordered overlaps fulfilling the ultrametric distribution is discussed and an explanation of this phenomenon is proposed.

Answer to Comment on "Ultrametricity in the Edwards-Anderson Model" / P., Contucci; Giardina', Cristian; Giberti, Claudio; G., Parisi; Vernia, Cecilia. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - STAMPA. - 100:(2008), pp. 159702-1-159702-1. [10.1103/PhysRevLett.100.159702]

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

GIARDINA', Cristian;GIBERTI, Claudio;VERNIA, Cecilia
2008

Abstract

In this paper we reply to a critical comment by T. Jorg and F. Krzakala to the Letter "Ultrametricity in the Edwards-Anderson Model" PRL 99, 057206 (2007). We show that the procedure developed in the aforementioned paper to detect ultrametricity is able to discriminate the non-ultrametric behavior of the two-dimensional Edwards-Anderson model from the ultrametric three-dimensional one. Moreover, the interesting finding of Jorg and Krzakala that in the two-dimensional Edwards-Anderson model three random configurations have ordered overlaps fulfilling the ultrametric distribution is discussed and an explanation of this phenomenon is proposed.
100
159702-1
159702-1
Answer to Comment on "Ultrametricity in the Edwards-Anderson Model" / P., Contucci; Giardina', Cristian; Giberti, Claudio; G., Parisi; Vernia, Cecilia. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - STAMPA. - 100:(2008), pp. 159702-1-159702-1. [10.1103/PhysRevLett.100.159702]
P., Contucci; Giardina', Cristian; Giberti, Claudio; G., Parisi; Vernia, Cecilia
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/639592
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