| Issue |
Europhys. Lett.
Volume 71, Number 3, August 2005
|
|
|---|---|---|
| Page(s) | 473 - 479 | |
| Section | Interdisciplinary physics and related areas of science and technology | |
| DOI | https://doi.org/10.1209/epl/i2004-10542-5 | |
| Published online | 29 June 2005 | |
Fluctuating lattice Boltzmann
1
School of Physics, University of Edinburgh, JCMB Kings Buildings Mayfield Road, Edinburgh EH9 3JZ, UK
2
EPCC, University of Edinburgh, JCMB Kings Buildings Mayfield Road, Edinburgh EH9 3JZ, UK
3
Department of Physics, North Dakota State University - Fargo ND58105, USA
Received:
20
December
2004
Accepted:
30
May
2005
The lattice Boltzmann algorithm efficiently simulates the
Navier-Stokes equation of isothermal fluid flow, but ignores
thermal fluctuations of the fluid, important in mesoscopic flows.
We show how to adapt the algorithm to include noise, satisfying a
fluctuation-dissipation theorem (FDT) directly at lattice level:
this gives correct fluctuations for mass and momentum densities,
and for stresses, at all wave vectors k. Unlike previous work,
which recovers FDT only as 
, our algorithm offers
full statistical mechanical consistency in mesoscale simulations
of, e.g., fluctuating colloidal hydrodynamics.
PACS: 82.70.Dd – Colloids / 24.60.-k – Statistical theory and fluctuations / 67.55.Fa – Hydrodynamics
© EDP Sciences, 2005
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