COMPUTER MODEL OF BROWNIAN MOTION

Abstract

The paper considers a computer model of an ideal gas in the form of a system of balls elastically colliding with each other. One of the balls is chosen larger in size and more massive than the others (Brownian particle). This causes the Brownian particle to wander almost randomly through the volume. The model determines the coordinates of the Brownian particle and calculates the average value of the square of the distance traveled by the particle over a certain period of time. A graph of the dependence of this mean square of distance on time is constructed. It is shown that at the beginning of the process, the dependence of the average square of the distance on time is quadratic, and later becomes almost linear. The computer model is designed to accompany the lecture course for students. It demonstrates the process of Brownian motion and its characteristics.