%0 Journal Article %1 Fredrickson1984Kinetic %A Fredrickson, Glenn H. %A Andersen, Hans C. %D 1984 %I American Physical Society %J Physical Review Letters %K kinetic\_models glasses ising-model %N 13 %P 1244--1247 %R 10.1103/physrevlett.53.1244 %T Kinetic Ising Model of the Glass Transition %U http://dx.doi.org/10.1103/physrevlett.53.1244 %V 53 %X A graph theory of single-spin-flip kinetic Ising models is developed and applied to a class of spin models with strongly cooperative dynamics. Self-consistent approximations for the spin time correlation function are presented. One of the dynamical models exhibits a glass transition with no underlying thermodynamic singularity. The approximation for the time correlation function predicts a critical temperature, below which small fluctuations from equilibrium in the thermodynamic limit cannot relax in a finite amount of time.

@article{Fredrickson1984Kinetic, abstract = {{A graph theory of single-spin-flip kinetic Ising models is developed and applied to a class of spin models with strongly cooperative dynamics. Self-consistent approximations for the spin time correlation function are presented. One of the dynamical models exhibits a glass transition with no underlying thermodynamic singularity. The approximation for the time correlation function predicts a critical temperature, below which small fluctuations from equilibrium in the thermodynamic limit cannot relax in a finite amount of time.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {Fredrickson, Glenn H. and Andersen, Hans C.}, biburl = {https://www.bibsonomy.org/bibtex/220c9cdf2798fb6337f596289e297ec6d/nonancourt}, citeulike-article-id = {2169979}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/physrevlett.53.1244}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v53/i13/p1244}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRL/v53/i13/p1244}, day = 24, doi = {10.1103/physrevlett.53.1244}, interhash = {01f31161ff89d912b0b2b32afa85da4b}, intrahash = {20c9cdf2798fb6337f596289e297ec6d}, journal = {Physical Review Letters}, keywords = {kinetic\_models glasses ising-model}, month = sep, number = 13, pages = {1244--1247}, posted-at = {2012-09-04 10:33:02}, priority = {2}, publisher = {American Physical Society}, timestamp = {2019-08-01T16:15:00.000+0200}, title = {{Kinetic Ising Model of the Glass Transition}}, url = {http://dx.doi.org/10.1103/physrevlett.53.1244}, volume = 53, year = 1984 }