%0 Book Section %1 statphys23_0630 %A Leuzzi, L. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K breaking complexity marginal replica sherrington-kirkpatrick spin-glass state statphys23 symmetry topic-9 %T Complexity and marginal states in mean-field glasses %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=630 %X We study mean-field systems whose free-energy landscape is dominated by marginally stable states. We describe them in terms of the two-group replica symmetry-breaking scheme, presenting its physical interpretation and establishing the relation to the cavity method and to the counting of solutions in the Thouless-Anderson-Palmer approach. We show how these methods all incorporate the presence of a soft mode in the free-energy landscape and interpret the occurring order-parameter functions in terms of correlations between the soft mode and the local magnetizations. The general formalism is applied to the prototypical case of the Sherrington-Kirkpatrick-model.

@incollection{statphys23_0630, abstract = {We study mean-field systems whose free-energy landscape is dominated by marginally stable states. We describe them in terms of the two-group replica symmetry-breaking scheme, presenting its physical interpretation and establishing the relation to the cavity method and to the counting of solutions in the Thouless-Anderson-Palmer approach. We show how these methods all incorporate the presence of a soft mode in the free-energy landscape and interpret the occurring order-parameter functions in terms of correlations between the soft mode and the local magnetizations. The general formalism is applied to the prototypical case of the Sherrington-Kirkpatrick-model.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Leuzzi, L.}, biburl = {https://www.bibsonomy.org/bibtex/27c8f888f8a76a9b41f6ac27db48ec644/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {83916d865c519bbd6c9d234c2a112698}, intrahash = {7c8f888f8a76a9b41f6ac27db48ec644}, keywords = {breaking complexity marginal replica sherrington-kirkpatrick spin-glass state statphys23 symmetry topic-9}, month = {9-13 July}, timestamp = {2007-06-20T10:16:25.000+0200}, title = {Complexity and marginal states in mean-field glasses}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=630}, year = 2007 }