%0 Journal Article %1 castellani05 %A Castellani, Tommaso %A Cavagna, Andrea %D 2005 %J Journal of Statistical Mechanics: Theory and Experiment %K physics spin.glass %N 05 %P P05012 %R 10.1088/1742-5468/2005/05/P05012 %T Spin-Glass Theory for Pedestrians %V 2005 %X In these notes the main theoretical concepts and techniques in the field of mean-field spin glasses are reviewed in a compact and pedagogical way, for the benefit of the graduate and undergraduate student. One particular spin-glass model is analysed (the p -spin spherical model) by using three different approaches: thermodynamics, covering pure states, overlaps, overlap distribution, replica symmetry breaking, and the static transition; dynamics, covering the generating functional method, generalized Langevin equation, equations for the correlation and the response, the mode coupling approximation, and the dynamical transition; and finally complexity, covering the mean-field (Thouless–Anderson–Palmer) free energy, metastable states, entropy crisis, threshold energy, and saddles. Particular attention has been paid to the mutual consistency of the results obtained from the different methods.

@article{castellani05, abstract = {In these notes the main theoretical concepts and techniques in the field of mean-field spin glasses are reviewed in a compact and pedagogical way, for the benefit of the graduate and undergraduate student. One particular spin-glass model is analysed (the p -spin spherical model) by using three different approaches: thermodynamics, covering pure states, overlaps, overlap distribution, replica symmetry breaking, and the static transition; dynamics, covering the generating functional method, generalized Langevin equation, equations for the correlation and the response, the mode coupling approximation, and the dynamical transition; and finally complexity, covering the mean-field (Thouless–Anderson–Palmer) free energy, metastable states, entropy crisis, threshold energy, and saddles. Particular attention has been paid to the mutual consistency of the results obtained from the different methods.}, added-at = {2015-04-16T09:15:18.000+0200}, author = {Castellani, Tommaso and Cavagna, Andrea}, biburl = {https://www.bibsonomy.org/bibtex/2753afb207b2d0d5a39099589adbc215a/ytyoun}, doi = {10.1088/1742-5468/2005/05/P05012}, interhash = {9dc46edfb28bec0d7d891d936c7ec1d4}, intrahash = {753afb207b2d0d5a39099589adbc215a}, journal = {Journal of Statistical Mechanics: Theory and Experiment}, keywords = {physics spin.glass}, number = 05, pages = {P05012}, timestamp = {2016-11-13T11:08:34.000+0100}, title = {Spin-Glass Theory for Pedestrians}, volume = 2005, year = 2005 }