Transmission probability of diffusing particles—A case study

Abstract

A diffusing particle is subjected to a variety of collisions that lead to a random or Brownian motion. The aim of this study is to compute the transmission probability and highlight the visualization of Brownian motion under the conditions of varying viscosity, particle size and temperature. As a preliminary study, two simulation results such as transport of diluted species and particle based approach have been compared and the transmission probability is computed by a particle based approach. We validate our results with Stokes-Einstein equation and Fang and Ning’s experimental and theoretical work and show that the transmission probability increases with decrease in viscosity and particle size and increase in temperature. The obtained results also describe the Brownian motion for various particle sizes, viscosity and temperature.