Dear Richard,

thanks, the extrapolation works perfectly: all data that I checked so far lies on a straight line versus Delta_tau^2. I will do the grid conversion to get extrapolated data on a dense grid later.

Unfortunately, the 10x10 data for U=8 and Dt=0.125 that we have is much too noisy to judge the lattice size dependence. If we want to check it, we would need 10x10 data with similar quality as the recent 8x8 data (6x6 in addition would probably not hurt). I think it is o.k. to do the finite-size analysis at fixed Dt.

Best regards

Nils


On 08.10.2010, at 16:04, <scalettar@physics.ucdavis.edu>
 wrote:

Dear Elena and Nils,

I attach the U=8 data for D for 4-5 dtau values
in the form of an xmgrace file
and two postscript files of differing resolutions.

I have not done the dtau=0 extrapolation, but with 4-5 dtau values it
should be doable.  In principle, the correction should be dtau^2.

Although the xmgrace file contains all the data, I also send the data
files separately so you can see the error bars.  I guess this is useful
if you do the extrapolation by a least squares fit.  The columns are:
 beta    T    D    err1    err2
where err2 is the average of the statistical errors returned by four
runs of 10000 measurements and err1 is the error obtained by treating
those four runs as four measurements.

I realize now that I have not done the best thing if we want to do
an extrapolation, because I chose a fixed set of L values
L=2,4,6,8,10,....  for all my dtau.  So although we have 4-5
curves, the data are not all on  the same temperature grid.

I can redo the runs so we have the same T points, but that is more painful.

Do I need to do that, and do we need a lattice size extrapolation?

Richard Scalettar
Professor and Vice Chairman, Physics Department
University of California, Davis 95616
phone 530-554-1605
fax   530-752-4717
email scalettar@physics.ucdavis.edu
http://leopard.physics.ucdavis.edu/rts/<nupndnU8avg.agr><nupndnU8avg.ps><nupndnU8avg2.ps><nupndnU8dt0.0625avg.dat><nupndnU8dt0.0833avg.dat><nupndnU8dt0.1000avg.dat><nupndnU8dt0.1250avg.dat><nupndnU8dt0.1667avg.dat>

Nils Blümer
Institut für Physik, KOMET 337			Room: 03 134, Staudingerweg 7
Johannes Gutenberg-Universität		Phone: (+49) 6131 / 392 22 77
55099 Mainz, Germany				FAX:   (+49) 6131 / 392 09 54
http://komet337.physik.uni-mainz.de/Bluemer/