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Volume 12, Issue 3
Lattice Free Stochastic Dynamics

Alexandros Sopasakis

Commun. Comput. Phys., 12 (2012), pp. 691-702.

Published online: 2012-12

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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.

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@Article{CiCP-12-691, author = {}, title = {Lattice Free Stochastic Dynamics}, journal = {Communications in Computational Physics}, year = {2012}, volume = {12}, number = {3}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.110211.200611a}, url = {http://global-sci.org/intro/article_detail/cicp/7309.html} }
TY - JOUR T1 - Lattice Free Stochastic Dynamics JO - Communications in Computational Physics VL - 3 SP - 691 EP - 702 PY - 2012 DA - 2012/12 SN - 12 DO - http://doi.org/10.4208/cicp.110211.200611a UR - https://global-sci.org/intro/article_detail/cicp/7309.html KW - AB -

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.

Alexandros Sopasakis. (2020). Lattice Free Stochastic Dynamics. Communications in Computational Physics. 12 (3). 691-702. doi:10.4208/cicp.110211.200611a
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