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Lattice Free Stochastic Dynamic

Författare

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.

Publiceringsår

2012

Språk

Engelska

Sidor

691-702

Publikation/Tidskrift/Serie

Communications in Computational Physics

Volym

12

Issue

3

Dokumenttyp

Artikel i tidskrift

Förlag

Global Science Press

Ämne

  • Mathematics

Nyckelord

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

Status

Published

ISBN/ISSN/Övrigt

  • ISSN: 1991-7120