Analysis of Brownian particle considering nonrigidity of matter — A Langevin equation approach

Abstract

Brownian motion had been a topic of interest since the last two centuries and researchers have investigated the motion considering size, environment and mass. Few attempts considering the non-rigidity had been published to establish correlation between variance and nanoparticle parameter like size, mass and non-rigidity (stiffness) [1] [2]. In continuation, the present work investigates the significance of non-rigidity (stiffness) on variance in motion of nanoparticle. This work is important to conclude on whether soft nanoparticle moves more or less vis-à-vis a hard nanoparticle. We developed a model using correlation technique applied on Langevin equation for Brownian motion of nanoparticle and based on the simulation results, it was found that the motion is significantly governed by the stiffness of nanoparticles.