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Abstract
We report the results of Monte Carlo simulations on several spin glass models
at low temperatures. By using the parallel tempering (Exchange Monte Carlo)
technique we are able to
equilibrate down to low temperatures,
for moderate sizes, and hence the data should not be affected by critical
fluctuations. Our results for short range models are consistent with a picture
proposed earlier that there are large scale excitations which cost only a
finite energy in the thermodynamic limit, and these excitations have a surface
whose fractal dimension is less than the space dimension. For the infinite
range Viana-Bray model, our results obtained for a similar number of spins
are consistent with standard replica symmetry breaking.
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