### Abstract

In lattice Boltzmann simulations particle groups - represented by scalar velocity distributions - are moved on a finite lattice. The size of these particle groups is not well-defined although it is crucial to assume that they should be big enough for using a continuous distribution. Here we propose to use the liquid-vapor interface as an internal yardstick to scale the system. Comparison with existing experimental data and with molecular dynamics simulation of Lennard-Jones-argon shows that the number of atoms located on one lattice site is in the order of few atoms. This contradicts the initial assumption concerning the number of particles in the group, therefore seems to raise some doubts about the applicability of the lattice Boltzmann method in certain problems whenever interfaces play important role arid ergodicity does not hold.

Original language | English |
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Pages (from-to) | 1049-1060 |

Number of pages | 12 |

Journal | International Journal of Modern Physics C |

Volume | 15 |

Issue number | 8 |

DOIs | |

Publication status | Published - okt. 1 2004 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
- Computer Science Applications
- Computational Theory and Mathematics

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## Cite this

*International Journal of Modern Physics C*,

*15*(8), 1049-1060. https://doi.org/10.1142/S0129183104006492