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DY: Fachverband Dynamik und Statistische Physik
DY 16: Glasses II (joint session DF/DY)
DY 16.5: Talk
Tuesday, February 26, 2008, 15:30–15:45, EB 407
Finite size corrections in mean-field spin glasses — •Timo Aspelmeier1, Alain Billoire2, Enzo Marinari3, and Michael A. Moore4 — 1Max-Planck-Institut für Dynamik und Selbstorganisation, Göttingen — 2Service de physique théorique, CEA Saclay, 91191 Gif-sur-Yvette, France — 3Dipartimento di Fisica, INFM and INFN, Sapienza Università di Roma, P. A. Moro 2, 00185 Roma, Italy — 4School of Physics and Astronomy, University of Manchester, Manchester, M13 9PL, UK
Finite size corrections in mean-field spin glasses are poorly understood theoretically because calculation of the loop expansion beyond Gaussian order is practically impossible. Here we present arguments and simulations to show that a system of finite size N is stabilized by a finite number of replica symmetry breaking steps K as opposed to the infinite replica symmetry breaking found in the thermodynamic limit. The number K is shown to be proportional to N1/6. Using this correspondence between K and N we calculate the finite size dependences of internal energy, free energy, Edwards-Anderson order parameter and sample-to-sample fluctuations of the free energy.