2004/02/29 by R. Adhikari, Kevin Stratford, M. E. Cates +4 · 3 citations
Computer Science · Engineering · Physics and Astronomy · #Fluid Dynamics and Turbulent Flows #Generative Adversarial Networks and Image Synthesis #Lattice Boltzmann Simulation Studies #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1209/epl/i2004-10542-5
7 pages, 3 figures, to appear in Europhysics Letters
arxiv created 2005/05/31 · openalex publication_date 2005/06/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
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.