%0 Book Section %1 statphys23_0292 %A Machta, J. %A Stein, D. %A Newman, C. %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 glass graphical representation spin statphys23 topic-9 %T Graphical Representations for the Ising Spin Glass %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=292 %X Graphical representations, originally developed by Fortuin and Kasteleyn and Coniglio and Klein, have played an important role in the study of unfrustrated spin systems. They provide a geometric interpretation for correlation functions and phase transitions that facilitates rigorous mathematical analysis and is the basis for efficient cluster Monte Carlo algorithms. Unfortunately, standard graphical representations are much less useful for disordered spin systems with frustration such as the Ising spin glass. In this talk we discuss some graphical representations for the Ising spin glass that have interesting and useful geometric properties. These representations utilize two replicas of the Ising spin glass and are related to two replica algorithms of the type first developed for spin glasses by Swendsen and Wang.

@incollection{statphys23_0292, abstract = {Graphical representations, originally developed by Fortuin and Kasteleyn and Coniglio and Klein, have played an important role in the study of unfrustrated spin systems. They provide a geometric interpretation for correlation functions and phase transitions that facilitates rigorous mathematical analysis and is the basis for efficient cluster Monte Carlo algorithms. Unfortunately, standard graphical representations are much less useful for disordered spin systems with frustration such as the Ising spin glass. In this talk we discuss some graphical representations for the Ising spin glass that have interesting and useful geometric properties. These representations utilize two replicas of the Ising spin glass and are related to two replica algorithms of the type first developed for spin glasses by Swendsen and Wang.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Machta, J. and Stein, D. and Newman, C.}, biburl = {https://www.bibsonomy.org/bibtex/2faed257435c613668502c9b326f36e22/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {a19220d72d6f4ccd09706f3f9e4e0497}, intrahash = {faed257435c613668502c9b326f36e22}, keywords = {glass graphical representation spin statphys23 topic-9}, month = {9-13 July}, timestamp = {2007-06-20T10:16:16.000+0200}, title = {Graphical Representations for the Ising Spin Glass}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=292}, year = 2007 }