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The Lattice Boltzmann EquationFor Complex States of Flowing Matter$
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Sauro Succi

Print publication date: 2018

Print ISBN-13: 9780199592357

Published to Oxford Scholarship Online: June 2018

DOI: 10.1093/oso/9780199592357.001.0001

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The Fluctuating Lattice Boltzmann

The Fluctuating Lattice Boltzmann

Chapter:
(p.568) 30 The Fluctuating Lattice Boltzmann
Source:
The Lattice Boltzmann Equation
Author(s):

Sauro Succi

Publisher:
Oxford University Press
DOI:10.1093/oso/9780199592357.003.0030

Fluid flow at nanoscopic scales is characterized by the dominance of thermal fluctuations (Brownian motion) versus directed motion. Thus, at variance with Lattice Boltzmann models for macroscopic flows, where statistical fluctuations had to be eliminated as a major cause of inefficiency, at the nanoscale they have to be summoned back. This Chapter illustrates the “nemesis of the fluctuations” and describe the way they have been inserted back within the LB formalism. The result is one of the most active sectors of current Lattice Boltzmann research.

Keywords:   fluctuating hydrodynamics, Brownian motion, Stokes flow, statistical fluctuations, nanofluids

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