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ahmedelshfie
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 « Embed this message on: May 13, 2010, 12:02:04 am »

This following applet is Browian motion
Original Author : Francisco Esquembre
Modified by prof Hwang,,Modified by Ahmed
Original project Browian motion

Qualitative evidence of the microscopic nature of gases is shown by an effect called Brownian motion.
All the particles are moving with different velocity and in random direction.
The only interaction between partciles is coiision.
There is one larger particles which will be collide by surrounding particles and the behavior is similar to a random walk pattern.
This simulation let you get a visual representation of Brownian motion.

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ahmedelshfie
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 « Embed this message Reply #1 on: May 13, 2010, 08:11:30 am »

Brownian motion (named after the Scottish botanist Robert Brown) or pedesis is the seemingly random movement of particles suspended in a fluid (i.e. a liquid such as water or air) or the mathematical model used to describe such random movements, often called a particle theory.
The mathematical model of Brownian motion has several real-world applications. An often quoted example is stock market fluctuations. However, movements in share prices may arise due to unforeseen events which do not repeat themselves, and physical and economic phenomena are not comparable.
Brownian motion is among the simplest of the continuous-time stochastic (or random) processes, and it is a limit of both simpler and more complicated stochastic processes (see random walk and Donsker's theorem). This universality is closely related to the universality of the normal distribution. In both cases, it is often mathematical convenience rather than the accuracy of the models that motivates their
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ahmedelshfie
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 « Embed this message Reply #2 on: August 18, 2010, 12:50:36 am »

Here is another version from Browian motion design by prof Heang,, modified layout by Ahmed.
This applet design using JDK1.0.2.
Original applet on Brownian Motion