Tapping Spin Glasses

Details Tapping Spin Glasses Tapping Spin Glasses

2001-01-11

arxiv.org/abs/cond-mat/0101166v1

PHYS REV LETT 86 (25): 5639-5642 JUN 18 2001

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 figures, RevTeX

Scientific paper

10.1103/PhysRevLett.86.5639

We consider a tapping dynamics, analogous to that in experiments on granular media, on spin glasses and ferromagnets on random thin graphs. Between taps, zero temperature single spin flip dynamics takes the system to a metastable state. Tapping, corresponds to flipping simultaneously any spin with probability $p$. This dynamics leads to a stationary regime with a steady state energy $E(p)$. We analytically solve this dynamics for the one dimensional ferromagnet and $\pm J$ spin glass. Numerical simulations for spin glasses and ferromagnets of higher connectivity are carried out, in particular we find a novel first order transition for the ferromagnetic systems.

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