Free-energy barriers in the Sherrington-Kirkpatrick model

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Published 24 March 2006 2006 EDP Sciences
, , Citation E. Bittner and W. Janke 2006 EPL 74 195 DOI 10.1209/epl/i2006-10007-y

0295-5075/74/2/195

Abstract

The Sherrington-Kirkpatrick spin-glass model is investigated by means of Monte Carlo simulations by employing a combination of the multi-overlap algorithm with parallel tempering methods. We investigate the finite-size scaling behaviour of the free-energy barriers which are visible in the probability density of the Parisi overlap parameter. Assuming that the mean barrier height diverges with the number of spins N as Nα, our data show good agreement with the theoretical value α = 1/3.

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10.1209/epl/i2006-10007-y