Fluctuating lattice Boltzmann

R  Adhikari; K  Stratford; M E  Cates; A J  Wagner

doi:10.1209/epl/i2004-10542-5

Fluctuating lattice Boltzmann

R Adhikari, K Stratford, M E Cates, A J Wagner

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

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 k --> 0, our algorithm offers full statistical mechanical consistency in mesoscale simulations of, e.g., fluctuating colloidal hydrodynamics.

Original language	English
Pages (from-to)	473-479
Number of pages	7
Journal	European Physical Society Letters (EPL)
Volume	71
Issue number	3
DOIs	https://doi.org/10.1209/epl/i2004-10542-5
Publication status	Published - Aug 2005

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10.1209/epl/i2004-10542-5

Edinburgh Soft Matter and Statistical Physics Group: Programme Grant
Cates, M. (Principal Investigator), Ackland, G. (Co-investigator), Egelhaaf, S. (Co-investigator), Evans, M. (Co-investigator), Poon, W. (Co-investigator) & Pusey, P. (Co-investigator)
EPSRC
1/10/03 → 31/03/08
Project: Research

Cite this

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abstract = "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 k --> 0, our algorithm offers full statistical mechanical consistency in mesoscale simulations of, e.g., fluctuating colloidal hydrodynamics.",

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AB - 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 k --> 0, our algorithm offers full statistical mechanical consistency in mesoscale simulations of, e.g., fluctuating colloidal hydrodynamics.

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DO - 10.1209/epl/i2004-10542-5

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Fluctuating lattice Boltzmann

Abstract

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Edinburgh Soft Matter and Statistical Physics Group: Programme Grant

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