Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1998-08-28
Phys. Rev. Lett. 81(12) 2554-2557, 1998.
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages, 2 figures, to appear in Phys. Rev. Lett
Scientific paper
10.1103/PhysRevLett.81.2554
The low lying excited states of the three-dimensional minimum matching problem are studied numerically. The excitations' energies grow with their size and confirm the droplet picture. However, some low energy, infinite size excitations create multiple valleys in the energy landscape. These states violate the droplet scaling ansatz, and are consistent with mean field predictions. A similar picture may apply to spin glasses whereby the droplet picture describes the physics at small length scales, while mean field describes that at large length scales.
Houdayer Jerome
Martin Olivier C.
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