A lattice Boltzmann study on Brownian diffusion and friction of a particle in a confined multicomponent fluid

Xiao Xue (Corresponding author), Luca Biferale, Mauro Sbragaglia, Federico Toschi

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

We study the diffusivity of a small particle immersed in a square box filled with a non-ideal multicomponent fluid in the presence of thermal fluctuations. Our approach is based on the numerical integration of fluctuating lattice Boltzmann models (LBM) for multicomponent mixtures. At changing the wettability on the particle's surface, we measure the mean square displacement (MSD) and compare with the prediction of the Stokes-Einstein theory. Two main set-ups are tested, involving periodic boundary conditions and wall boundary conditions realized on the computational box. We find that full periodic boundary conditions give rise to random advection after millions of lattice Boltzmann time steps, while this effect is mitigated in the presence of wall boundary conditions. The matching with the Stokes-Einstein relation is therefore guaranteed when we use the appropriate frictional properties measured in the presence of confinement. Our results will help the exploration of nanoscale applications with multicomponent fluids using LBM in the presence of thermal fluctuations.
Original languageEnglish
JournalJournal of Computational Science
DOIs
Publication statusE-pub ahead of print - 4 May 2020

Keywords

  • Brownian Diffusion
  • Finite-size particle
  • fluctuating lattice Boltzmann methods
  • multicomponent fluids

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