Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2000-09-25
Eur. Phys. J. B 18, 467-477 (2000)
Physics
Condensed Matter
Disordered Systems and Neural Networks
11 pages, typos corrected, added references
Scientific paper
10.1007/s100510070035
We numerically extract large-scale excitations above the ground state in the 3-dimensional Edwards-Anderson spin glass with Gaussian couplings. We find that associated energies are O(1), in agreement with the mean field picture. Of further interest are the position-space properties of these excitations. First, our study of their topological properties show that the majority of the large-scale excitations are sponge-like. Second, when probing their geometrical properties, we find that the excitations coarsen when the system size is increased. We conclude that either finite size effects are very large even when the spin overlap q is close to zero, or the mean field picture of homogeneous excitations has to be modified.
Houdayer Jerome
Krzakala Florent
Martin Olivier C.
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