%0 Journal Article %1 Lawlor2005Geometry %A Lawlor, Aonghus %A De Gregorio, Paolo %A Bradley, Phil %A Sellitto, Mauro %A Dawson, Kenneth A. %D 2005 %I American Physical Society %J Physical Review E %K dav, dynamical\_heterogeneities, lattice\_model kinetic-models dynamical-arrest %N 2 %P 021401+ %R 10.1103/physreve.72.021401 %T Geometry of dynamically available empty space is the key to near-arrest dynamics %U http://dx.doi.org/10.1103/physreve.72.021401 %V 72 %X We study several examples of kinetically constrained lattice models using dynamically accessible volume as an order parameter. Thereby we identify two distinct regimes exhibiting dynamical slowing, with a sharp threshold between them. These regimes are identified both by a new response function in dynamically available volume, as well as directly in the dynamics. Results for the self-diffusion constant in terms of the connected hole density are presented, and some evidence is given for scaling in the limit of dynamical arrest.

@article{Lawlor2005Geometry, abstract = {{We study several examples of kinetically constrained lattice models using dynamically accessible volume as an order parameter. Thereby we identify two distinct regimes exhibiting dynamical slowing, with a sharp threshold between them. These regimes are identified both by a new response function in dynamically available volume, as well as directly in the dynamics. Results for the self-diffusion constant in terms of the connected hole density are presented, and some evidence is given for scaling in the limit of dynamical arrest.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {Lawlor, Aonghus and De Gregorio, Paolo and Bradley, Phil and Sellitto, Mauro and Dawson, Kenneth A.}, biburl = {https://www.bibsonomy.org/bibtex/25d3929cddd938a038cc4593b141dbc86/nonancourt}, citeulike-article-id = {7756085}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/physreve.72.021401}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRE/v72/i2/e021401}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRE/v72/i2/e021401}, doi = {10.1103/physreve.72.021401}, interhash = {f14aa03cb2ffa0177af1cec25ee6d5d2}, intrahash = {5d3929cddd938a038cc4593b141dbc86}, journal = {Physical Review E}, keywords = {dav, dynamical\_heterogeneities, lattice\_model kinetic-models dynamical-arrest}, month = aug, number = 2, pages = {021401+}, posted-at = {2010-09-02 11:31:03}, priority = {2}, publisher = {American Physical Society}, timestamp = {2019-08-20T16:56:35.000+0200}, title = {{Geometry of dynamically available empty space is the key to near-arrest dynamics}}, url = {http://dx.doi.org/10.1103/physreve.72.021401}, volume = 72, year = 2005 }