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Maxwell - Boltzman distribution

  1. Sep 1, 2013 #1
    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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  3. Sep 1, 2013 #2

    SteamKing

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    Check out this article:
    http://en.wikipedia.org/wiki/Maxwell–Boltzmann_distribution

    It gives properties of the M-B distribution, including the PDF and corresponding CDF. You must have made an error in your calculations.
     
  4. Sep 2, 2013 #3

    UltrafastPED

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  5. Sep 2, 2013 #4
    Thanks all. Problem solved. Area under curve is 0.98 by numerical integration, close enough.
     
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