Typical versus averaged overlap distribution in spin glasses: Evidence for droplet scaling theory

Abstract : We consider the statistical properties over disordered samples of the overlap distribution $P_{\cal J}(q)$ which plays the role of an order parameter in spin-glasses. We show that near zero temperature (i) the {\it typical} overlap distribution is exponentially small in the central region of $-1
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Cécile Monthus, Thomas Garel. Typical versus averaged overlap distribution in spin glasses: Evidence for droplet scaling theory. Biophysical Reviews and Letters, World Scientific Publishing, 2013, 88 (13), pp.4204 ⟨10.1103/PhysRevB.88.134204⟩. ⟨cea-01323422⟩

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