Mathematical Sciences

Lund University

Title Lattice Free Stochastic Dynamic
Authors Alexandros Sopasakis
Alternative Location http://dx.doi.org/10.4208/c..., Restricted Access
Publication Communications in Computational Physics
Year 2012
Volume 12
Issue 3
Pages 691 - 702
Document type Article
Status Published
Quality controlled Yes
Language eng
Publisher Global Science Press
Abstract English 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 Lattice-free, microscopic stochastic dynamics, kinetic Monte Carlo,
ISBN/ISSN/Other ISSN: 1815-2406