Notes on the implementation of brownian motion in mesoscopic fluid-particle models

M. Lai, D. Drikakis

Research output: Contribution to conferencePaper

Abstract

Mesoscopic simulation of nucleic acids transport can prove extremely beneficial to the growing field of mi-crofluidic DNA biosensors. In microfluidic devices, unlike macroscopic ones, the diffusive transport becomes relevant as it is no longer overwhelmed by convection. Diffusion of colloid-sized particles is caused by their brownian motion in solution, whose modelling is therefore crucial for the correct description of diffusive effects. It is known that the random displacement and velocity perturbations follow a multivariate Gaussian distribution. We analyse the explicit form of the covariance matrix and show a decomposition that factorizes the probability density function into three pairs of bivariate distributions. A preliminary model is implemented and validated for a simple test case.
Original languageEnglish
Pages277-279
Number of pages3
Publication statusPublished - 3 Jun 2009
Event7th International Industrial Simulation Conference 2009, ISC 2009 - Loughborough, United Kingdom
Duration: 1 Jun 20093 Jun 2009

Conference

Conference7th International Industrial Simulation Conference 2009, ISC 2009
Abbreviated titleISC 2009
CountryUnited Kingdom
CityLoughborough
Period1/06/093/06/09

Keywords

  • numerical methods
  • stochastic models
  • simulators
  • random number generators
  • physics
  • superconducting materials
  • Brownian movement
  • covariance matrix
  • bivariate distributions
  • colloid-sized particles
  • fluid-particle models

Cite this

Lai, M., & Drikakis, D. (2009). Notes on the implementation of brownian motion in mesoscopic fluid-particle models. 277-279. Paper presented at 7th International Industrial Simulation Conference 2009, ISC 2009, Loughborough, United Kingdom.