Re: photon interaction

From: Jamshid Soltani (jsoltani@physics.pub.ro)
Date: Tue Dec 11 2007 - 18:51:38 CET

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      Hi Vasilis,

     Thank you for your kindly respond.
     I did your and Konstantin suggestion and generate 5 cycles .
     in attach file there is a new graph for Bragg Peak.you see statistical
    fluctuations for photon interaction have been reduced but there is yet.If
    I
    define Zero bins in X and Y direction it takes error.I had to define
    USRBIN card as in attach file for photon interaction.
    I am waiting for your suggestion.
      thanks
     jamshid

    > Hi jamshid,
    >
    > welcome to the wonderful world of monte carlo.
    > This zig-zag has a name (and a family-name :) and is called statistical
    > fluctuations and you will have to learn to live with it. Actually is a
    > very useful information that tells you how well you should trust your
    > result.
    >
    > However a better quantity to plot, is the statistical mean of each bin
    > together with the error on the mean. In principle MC is a counting
    > experiment and should follow a Poisson distribution, therefore the error
    > is the square root of the counts in each bin, which is no longer true if
    > you are using biasing or other techniques. Therefore FLUKA exploits the
    > Central Limit Theorem to get the correct mean and error on the mean. For
    > this reason you need to perform a few cycles and based on the CLT the
    > final distribution on the average will tend to be Normal (for infinite
    > cycles) no matter what was the original distribution. Actually it
    > converges very quickly and 5 cycles are enough.
    >
    > Please give a look on the FLUKA course material and especially the
    > presentations about the monte carlo and estimators.
    >
    > Regards
    > Vasilis
    >
    > Jamshid Soltani wrote:
    >> Dear fluka Users,
    >>
    >> I made a graph for interaction of Photon with 1.3 Mev with water as
    >> attach input file.there is my graph in attach file too.there is more
    >> widspreding(Zig-zag) in the graph. I changed DEFAULTS to PRECISIOn and
    >> EM-CASCAde but there is zig-zag yet.Can I omit it or not? what is the
    >> reasons of these event?
    >>
    >> thanks
    >> jamshid Soltani
    >>
    >>
    >>
    >>
    >
    >





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