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August 2, 1982Physical Review Letters141 citations

Lack of Ergodicity in the Infinite-Range Ising Spin-Glass

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NMN D MackenzieAYA. P. Young

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Abstract

The size dependence of slow relaxation processes in the infinite-range Ising spin-glass is investigated by computer simulation. Below the transition temperature, relaxation of variables which do not change sign under inversion of the spins is complete by a time, where ln N^1{4} and so diverges as N, the number of spins, tends to infinity. The "ergodic time" ₄₆ satisfies ln ₄₆N^1{2}. These results are consistent with a physical picture where barriers between free-energy minima in phase space have a height proportional to the square root of the number of spins to be flipped.

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Cite This Study

Mackenzie et al. (1982) studied this question.

synapsesocial.com/papers/6a17114383b2be9fec6bb73fhttps://doi.org/10.1103/physrevlett.49.301
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