Ultrametricity in 3D Edwards-Anderson spin glasses

Details Ultrametricity in 3D Edwards-Anderson spin glasses Ultrametricity in 3D Edwards-Anderson spin glasses

1999-03-08

arxiv.org/abs/cond-mat/9903130v2

Phys. Rev. E 61, 1121 (2000)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 5 figures

Scientific paper

10.1103/PhysRevE.61.1121

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 to infer that dynamical ultrametricity implies the same property at the level of equilibrium states.

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