Stochastic Modeling of Particle Transport in Confined Geometries: Problems and Peculiarities

Stochastic Modeling of Particle Transport in Confined Geometries: Problems and Peculiarities

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The equivalence between parabolic transport equations for solute concentrations and stochastic dynamics for solute particle motion represents one of the most fertile correspondences in statistical physics originating from the work by Einstein on Brownian motion.In this article, we analyze the problems and the peculiarities of the stochastic equations of motion in microfluidic confined systems.The presence of solid boundaries leads to tensorial hydrodynamic coefficients (hydrodynamic resistance old taylor whiskey 1933 price matrix) that depend also on the particle position.

Singularity issues, originating from the non-integrable divergence of the entries of the resistance matrix near a solid no-slip boundary, determine some mass-transport paradoxes whenever ps5 price new jersey surface phenomena, such as surface chemical reactions at the walls, are considered.These problems can be overcome by considering the occurrence of non vanishing slippage.Added-mass effects and the influence of fluid inertia in confined geometries are also briefly addressed.