@Article{CiCP-12-691,
author = {Alexandros Sopasakis},
title = {Lattice Free Stochastic Dynamics},
journal = {Communications in Computational Physics},
year = {2012},
volume = {12},
number = {3},
pages = {691--702},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.110211.200611a},
url = {http://global-sci.org/intro/article_detail/cicp/7309.html}
}