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Lattice Free Stochastic Dynamics

Published online by Cambridge University Press:  20 August 2015

Alexandros Sopasakis
Alexandros Sopasakis*
Affiliation:
Center for Mathematical Sciences, Lund University, Box 118, 22100 Lund, Sweden
*
*Corresponding author.Email:sopasak@maths.lth.se
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Abstract

We introduce a lattice-free hard sphere exclusion stochastic process. The resulting stochastic rates are distance based instead of cell based. The corresponding Markov chain build for this many particle system is updated using an adaptation of the kinetic Monte Carlo method. It becomes quickly apparent that due to the lattice-free environment, and because of that alone, the dynamics behave differently than those in the lattice-based environment. This difference becomes increasingly larger with respect to particle densities/temperatures. The well-known packing problem and its solution (Palasti conjecture) seem to validate the resulting lattice-free dynamics.

Keywords

82C2082C2282C8082B2082D9990B20Lattice-freemicroscopic stochastic dynamicskinetic Monte Carlo

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Type
Research Article
Information
Communications in Computational Physics , Volume 12 , Issue 3 , September 2012 , pp. 691 - 702
Copyright
Copyright © Global Science Press Limited 2012

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