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Attractors in the fully asymmetric SK-model

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Zeitschrift für Physik B Condensed Matter

Abstract

The mean number of attractors of arbitrary lengthl is calculated explicitly in the fully asymmetric SK-model (<J ij J ij >=0) for parallel dynamics and at zero temperature. Forl=2 large finite size effects are observed with a broad maximum around a system size ofN=53 (Gaussian interactions). The basin of attraction of the metastable states for one time step increases exponentially with the system size and the exponent is α≈0.16.

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  1. Institut für Theoretische Physik, Universität zu Köln, W-5000, Köln, Federal Republic of Germany

    M. Schreckenberg

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  1. M. Schreckenberg
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Schreckenberg, M. Attractors in the fully asymmetric SK-model. Z. Physik B - Condensed Matter 86, 453–459 (1992). https://doi.org/10.1007/BF01323739

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  • DOI: https://doi.org/10.1007/BF01323739

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