Advanced

Lattice Free Stochastic Dynamic

Sopasakis, Alexandros LU (2012) In Communications in Computational Physics 12(3). p.691-702
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.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Lattice-free, microscopic stochastic dynamics, kinetic Monte Carlo
in
Communications in Computational Physics
volume
12
issue
3
pages
691 - 702
publisher
Global Science Press
external identifiers
  • wos:000303773200004
  • scopus:84858264637
ISSN
1991-7120
DOI
10.4208/cicp.110211.200611a
language
English
LU publication?
yes
id
729c07bb-3acd-4016-bd40-6e2dfebf37cb (old id 2826387)
date added to LUP
2012-06-20 15:10:46
date last changed
2017-01-01 03:00:06
@article{729c07bb-3acd-4016-bd40-6e2dfebf37cb,
  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.},
  author       = {Sopasakis, Alexandros},
  issn         = {1991-7120},
  keyword      = {Lattice-free,microscopic stochastic dynamics,kinetic Monte Carlo},
  language     = {eng},
  number       = {3},
  pages        = {691--702},
  publisher    = {Global Science Press},
  series       = {Communications in Computational Physics},
  title        = {Lattice Free Stochastic Dynamic},
  url          = {http://dx.doi.org/10.4208/cicp.110211.200611a},
  volume       = {12},
  year         = {2012},
}