Maxwell - Boltzman distribution


by mattT1227
Tags: boltzman, distribution, maxwell
mattT1227
mattT1227 is offline
#1
Sep1-13, 11:18 PM
P: 2
I made a spreadsheet to plot the 3d speed distribution from the MB probability function. It matches the peak and fall-off of published graphs. I then tried to integrate it by summing over interval widths times probability. I thought the area should be 1. My result is around 5 or 6. I've tried really small intervals, around 0.25 m/s, that didn't help. Must be I don't understand what the area under the probability curve represents.
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SteamKing
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#2
Sep1-13, 11:32 PM
HW Helper
Thanks
P: 5,589
Check out this article:
http://en.wikipedia.org/wiki/Maxwell...n_distribution

It gives properties of the M-B distribution, including the PDF and corresponding CDF. You must have made an error in your calculations.
UltrafastPED
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#3
Sep2-13, 02:05 AM
Thanks
P: 1,348
You have failed to normalize! For example, see http://hyperphysics.phy-astr.gsu.edu...ic/maxspe.html

mattT1227
mattT1227 is offline
#4
Sep2-13, 07:27 AM
P: 2

Maxwell - Boltzman distribution


Thanks all. Problem solved. Area under curve is 0.98 by numerical integration, close enough.


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