Further numerical analysis on the simulation of Brownian motion in an optical trap using Langevin equation

Abstract

Randomness is present in most phenomena, ranging from microparticles to human organization or behavior. It is not easy to gain an intuitive understanding of any stochastic phenomena, because their modelling typically requires advanced mathematical tools. But there are some existing methods or equation that can be solved numerically to acquire the desired solution to be used for simulating of any stochastic system such as the Langevin equation. In this topic, softwares, e.g. MATLAB, SCILAB, and Root, are used for the simulation of the particles’ motion under different external forces using finite difference algorithm. The graphs obtained showed a similar figure with the figures obtained theoretically and they give us insight of what effects of those external forces to the particles trajectory.