Lattice Free Stochastic Dynamic
(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:
https://lup.lub.lu.se/record/2826387
- author
- Sopasakis, Alexandros LU
- organization
- publishing date
- 2012
- 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
- 2016-04-01 09:47:30
- date last changed
- 2022-01-25 08:47:35
@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}}, keywords = {{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}}, doi = {{10.4208/cicp.110211.200611a}}, volume = {{12}}, year = {{2012}}, }