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.
%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
}