We perform an accurate test of ultrametricity in the aging dynamics of the three-dimensional Edwards-Anderson spin glass. Our method consists in considering the evolution in parallel of two identical systems constrained to have fixed overlap. This turns out to be a particularly efficient way to study the geometrical relations between configurations at distant large times. Our findings strongly hint towards dynamical ultrametricity in spin glasses, while this is absent in simpler aging systems with domain growth dynamics. A recently developed theory of linear response in glassy systems allows us to infer that dynamical ultrametricity implies the same property at the level of equilibrium states.

Ultrametricity in three-dimensional Edwards-Anderson spin glasses / Silvio, Franz; RICCI TERSENGHI, Federico. - In: PHYSICAL REVIEW E. - ISSN 1063-651X. - 61:2(2000), pp. 1121-1124. [10.1103/physreve.61.1121]

Ultrametricity in three-dimensional Edwards-Anderson spin glasses

RICCI TERSENGHI, Federico
2000

Abstract

We perform an accurate test of ultrametricity in the aging dynamics of the three-dimensional Edwards-Anderson spin glass. Our method consists in considering the evolution in parallel of two identical systems constrained to have fixed overlap. This turns out to be a particularly efficient way to study the geometrical relations between configurations at distant large times. Our findings strongly hint towards dynamical ultrametricity in spin glasses, while this is absent in simpler aging systems with domain growth dynamics. A recently developed theory of linear response in glassy systems allows us to infer that dynamical ultrametricity implies the same property at the level of equilibrium states.
2000
01 Pubblicazione su rivista::01a Articolo in rivista
Ultrametricity in three-dimensional Edwards-Anderson spin glasses / Silvio, Franz; RICCI TERSENGHI, Federico. - In: PHYSICAL REVIEW E. - ISSN 1063-651X. - 61:2(2000), pp. 1121-1124. [10.1103/physreve.61.1121]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/126701
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