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Lattice Free Stochastic Dynamic

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Author

Summary, in 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.

Publishing year

2012

Language

English

Pages

691-702

Publication/Series

Communications in Computational Physics

Volume

12

Issue

3

Document type

Journal article

Publisher

Global Science Press

Topic

  • Mathematics

Keywords

  • Lattice-free
  • microscopic stochastic dynamics
  • kinetic Monte Carlo

Status

Published

ISBN/ISSN/Other

  • ISSN: 1991-7120