Absence of aging in the remanent magnetization in Migdal-Kadanoff spin glasses

Details Absence of aging in the remanent magnetization in Migdal-Kadanoff spin glasses Absence of aging in the remanent magnetization in Migdal-Kadanoff spin glasses

1999-10-25

arxiv.org/abs/cond-mat/9910390v2

J. Phys. A 33, 3727 (2000)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages and 3 figures. References updated

Scientific paper

10.1088/0305-4470/33/20/301

We study the non-equilibrium behavior of three-dimensional spin glasses in the Migdal-Kadanoff approximation, that is on a hierarchical lattice. In this approximation the model has an unique ground state and equilibrium properties correctly described by the droplet model. Extensive numerical simulations show that this model lacks aging in the remanent magnetization as well as a maximum in the magnetic viscosity in disagreement with experiments as well as with numerical studies of the Edwards-Anderson model. This result strongly limits the validity of the droplet model (at least in its simplest form) as a good model for real spin glasses.

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