random walk brownian motion albert einstein diffusion

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random walk & brownian motion

Posting by jon orwant on April 17, 2008 at 15:34:00.

hi there this may be a very simple question but its really got me stumped i was wondering if anyone could help.
ive been asked to find the diffusion coefficient in 1D by comparing the diffusion equation and the random walk equation since the random walk equation is limited by the diffusion equation. does anyone happen to have any idea how this is done??

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On 04/17/2008 jon posts: Does this link help:

website: en.wikipedia.org/wiki/Random_walk ?

It states that:

"Brownian motion is the scaling limit of random walk in dimension 1. This means that if you take a random walk with very small steps you get an approximation to Brownian motion"

Further mind that for one dimension the Brownian Diffusivity is defined by:

D = 1/2 x thermal velocity x free path length

Sincerely,
Jon
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