Time dependent local field distribution and metastable states in the SK-spin-glass |
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Authors: | H Horner |
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Institution: | (1) Inst. f. Theoretical Physics, Ruprecht-Karls-University, Heidelberg, Germany |
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Abstract: | Different sets of metastable states can be reached in glassy systems below some transition temperature depending on initial
conditions and details of the dynamics. This is investigated for the Sherrington-Kirkpatrick spin glass model with long ranged
interactions. In particular, the time dependent local field distribution and energy are calculated for zero temperature. This
is done for a system quenched to zero temperature, slow cooling or simulated annealing, a greedy algorithm and repeated tapping.
Results are obtained from Monte-Carlo simulations and a Master-Fokker-Planck approach. A comparison with replica symmetry
broken theory, evaluated in high orders, shows that the energies obtained via dynamics are higher than the ground state energy
of replica theory. Tapping and simulated annealing yield on the other hand results which are very close to the ground state
energy. The local field distribution tends to zero for small fields. This is in contrast to the Edwards flat measure hypothesis.
The distribution of energies obtained for different tapping strengths does again not follow the canonical form proposed by
Edwards. |
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Keywords: | 05 70 Ln Nonequilibrium and irreversible thermodynamics 45 70 Cc Static sandpiles granular compaction 75 10 Nr Spin-glass and other random models 89 75 -k Complex systems 02 60 Pn Numerical optimization |
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