caa a22 4500 467891982 CHVBK 20180406152751.0 cr unu---uuuuu 170328e20060501xx s 000 0 eng 10.1007/s10955-005-9006-6 doi (NATIONALLICENCE)springer-10.1007/s10955-005-9006-6 Barra Adriano Department of Mathematics, King's College London, Strand, WC2R 2LS, London, UK aut Irreducible Free Energy Expansion and Overlaps Locking in Mean Field Spin Glasses [Elektronische Daten] [Adriano Barra] Following the works of Guerra, 1995; Aizenmar and Contucci, J. State. Phys. 92 (5-6): 765-783 (1998), we introduce a diagrammatic formulation for a cavity field expansion around the critical temperature. This approach allows us to obtain a theory for the overlap's fluctuations and, in particular, the linear part of the Ghirlanda-Guerra relationships (GG) (often called Aizenman-Contucci polynomials (AC)) in a very simple way. We show moreover how these constraints are "superimposed” by the symmetry of the model with respect to the restriction required by thermodynamic stability. Within this framework it is possible to expand the free energy in terms of these irreducible overlaps fluctuations and in a form that simply put in evidence how the complexity of the solution is related to the complexity of the entropy. Springer Science + Business Media, Inc., 2005 Cavity field nationallicence Ghirlanda-Guerra nationallicence stochastic stability nationallicence Aizenman-Contucci polynomials nationallicence Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/3(2006-05-01), 601-614 0022-4715 123:3<601 2006 123 10955 https://doi.org/10.1007/s10955-005-9006-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-005-9006-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Barra Adriano Department of Mathematics, King's College London, Strand, WC2R 2LS, London, UK aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/3(2006-05-01), 601-614 0022-4715 123:3<601 2006 123 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer