Stochastic symmetry-breaking in a gaussian Hopfield model

Details Stochastic symmetry-breaking in a gaussian Hopfield model Stochastic symmetry-breaking in a gaussian Hopfield model

1998-07-06

arxiv.org/abs/cond-mat/9807086v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

31pp, AMSTeX

Scientific paper

We study a ``two-pattern'' Hopfield model with Gaussian disorder. We find
that there are infinitely many pure states at low temperatures in this model,
and we find that the metastate is supported on an infinity of symmetric pairs
of pure states. The origin of this phenomenon is the random breaking of a
rotation symmetry of the distribution of the disorder

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