%0 Journal Article %1 Baronchelli2009Glass %A Baronchelli, Andrea %A Barrat, Alain %A Satorras, Romualdo P. %D 2009 %I American Physical Society %J Physical Review E %K energy\_landscape, random\_walks networks glasses %N 2 %P 020102+ %R 10.1103/physreve.80.020102 %T Glass transition and random walks on complex energy landscapes %U http://dx.doi.org/10.1103/physreve.80.020102 %V 80 %X We present a simple mathematical model of glassy dynamics seen as a random walk in a directed weighted network of minima taken as a representation of the energy landscape. Our approach gives a broader perspective to previous studies focusing on particular examples of energy landscapes obtained by sampling energy minima and saddles of small systems. We point out how the relation between the energies of the minima and their number of neighbors should be studied in connection with the network's global topology and show how the tools developed in complex network theory can be put to use in this context.

@article{Baronchelli2009Glass, abstract = {{We present a simple mathematical model of glassy dynamics seen as a random walk in a directed weighted network of minima taken as a representation of the energy landscape. Our approach gives a broader perspective to previous studies focusing on particular examples of energy landscapes obtained by sampling energy minima and saddles of small systems. We point out how the relation between the energies of the minima and their number of neighbors should be studied in connection with the network's global topology and show how the tools developed in complex network theory can be put to use in this context.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {Baronchelli, Andrea and Barrat, Alain and Satorras, Romualdo P.}, biburl = {https://www.bibsonomy.org/bibtex/2a3c66b8d451c12785d305db756a730a3/nonancourt}, citeulike-article-id = {5743303}, citeulike-linkout-0 = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal\&id=PLEEE8000080000002020102000001\&idtype=cvips\&gifs=yes}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRE/v80/e020102}, citeulike-linkout-2 = {http://dx.doi.org/10.1103/physreve.80.020102}, citeulike-linkout-3 = {http://link.aps.org/abstract/PRE/v80/i2/e020102}, citeulike-linkout-4 = {http://link.aps.org/pdf/PRE/v80/i2/e020102}, doi = {10.1103/physreve.80.020102}, interhash = {b53465ba36933606b4dd92eda9e276cf}, intrahash = {a3c66b8d451c12785d305db756a730a3}, journal = {Physical Review E}, keywords = {energy\_landscape, random\_walks networks glasses}, month = aug, number = 2, pages = {020102+}, posted-at = {2012-10-07 22:30:38}, priority = {2}, publisher = {American Physical Society}, timestamp = {2019-07-31T12:31:28.000+0200}, title = {{Glass transition and random walks on complex energy landscapes}}, url = {http://dx.doi.org/10.1103/physreve.80.020102}, volume = 80, year = 2009 }