Disorder chaos in spin glasses

Details Disorder chaos in spin glasses Disorder chaos in spin glasses

2005-07-24

arxiv.org/abs/cond-mat/0507555v2

Europhys. Lett., 72 (3), pp. 472-478 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 8 figures, replaced with accepted version

Scientific paper

10.1209/epl/i2005-10256-2

We investigate numerically disorder chaos in spin glasses, i.e. the sensitivity of the ground state to small changes of the random couplings. Our study focuses on the Edwards-Anderson model in d=1,2,3 and in mean-field. We find that in all cases, simple scaling laws, involving the size of the system and the strength of the perturbation, are obeyed. We characterize in detail the distribution of overlap between ground states and the geometrical properties of flipped spin clusters in both the weak and strong chaos regime. The possible relevance of these results to temperature chaos is discussed.

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