Modified TAP equations for the SK spin glass

Details Modified TAP equations for the SK spin glass Modified TAP equations for the SK spin glass

2001-08-11

arxiv.org/abs/cond-mat/0108191v2

Europhys. Lett.58,892 (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 2 figures, final revised version to appear in Europhys. Lett

Scientific paper

10.1209/epl/i2002-00457-7

The stability of the TAP mean field equations is reanalyzed with the conclusion that the exclusive reason for the breakdown at the spin glass instability is an inconsistency for the value of the local susceptibility. A new alternative approach leads to modified equations which are in complete agreement with the original ones above the instability. Essentially altered results below the instability are presented and the consequences for the dynamical mean field equations are discussed.

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