Physics 410/609---Computational Physics
		Assignment #6---Due Thursday, December 8, 2005

I apologize for falling behind in assiging homework.  This assignment
will be very short.  Only one problem.  I have the feeling that nobody
is feeling deprived of things to do right now; however, there are some
other interesting problems that I have assigned in the past.  You can
find them on the previous assignment links.  If you are interested in
any of those problems, feel free to ask me about them or to work on them
and consult with me.

1) The Gaussian Distribution and the Metropolis Method (see 11.14 page 367 
   of CSM)

        a) Write a program to generate a Gaussian distribution using the
           Metropolis algorithm as described in class and in Sec. 11.8 of CSM.
        b) Try a few values of delta and plot time histories and histograms
           of runs with about 5000 numbers.
        c) Plot the acceptance ratio as a function of delta.
        d) Using the program autocorr (Usage: autocorr maximum_lag <datafile ),
           plot the autocorrelation up to a lag of 20 for some value of delta.
           [See ~sg/metropolis/makeauto.csh ]
        e) For lag 1-5, plot autocorrelation as a function of delta.
           [See ~sg/metropolis/{aut_vs_delta.csh,aut_vs_step.a} ]