Volume 71, Number 3, August 2005
|Page(s)||473 - 479|
|Section||Interdisciplinary physics and related areas of science and technology|
|Published online||29 June 2005|
Fluctuating lattice Boltzmann
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
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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