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Maxwell  Boltzman distribution 
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#1
Sep113, 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 falloff 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.



#2
Sep113, 11:32 PM

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Thanks
PF Gold
P: 6,334

Check out this article:
http://en.wikipedia.org/wiki/Maxwell...n_distribution It gives properties of the MB distribution, including the PDF and corresponding CDF. You must have made an error in your calculations. 


#3
Sep213, 02:05 AM

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Thanks
PF Gold
P: 1,908

You have failed to normalize! For example, see http://hyperphysics.phyastr.gsu.edu...ic/maxspe.html



#4
Sep213, 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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