Volume 85, Number 2, January 2009
|Number of page(s)||6|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||29 January 2009|
The origin of intermittent dynamics in the lattice gas model
School of Chemistry and Chemical Biology, University College Dublin - Belfield, Dublin 4, Ireland, EU
Corresponding author: firstname.lastname@example.org
Accepted: 19 December 2008
The dilute lattice gas model is presented here as a paradigmatic illustration of the connection between subdiffusive behaviour, intermittency and the motion of available (empty) space. Applying a framework based on Continuous Time Random Walk theory, we are able to show how subdiffusive motion arises and how, and when, it crosses over to a diffusive regime. The relevant timescales, and , using arguments coming from simple principles are related to the (average) distance between vacant positions, . Quantities of interest, such as the mean square displacement and the number of movements, are predicted and compared to simulation results.
PACS: 66.10.cg – Mass diffusion, including self-diffusion, mutual diffusion, tracer diffusion, etc. / 05.40.Fb – Random walks and Levy flights / 64.70.P- – Glass transitions of specific systems
© EPLA, 2009
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