Abstract
We study self-avoiding walks on critical percolation clusters by means of a recently developed exact enumeration method, which can handle walks of several thousand steps. We had previously presented results for the two- and three-dimensional cases; here we take a wider perspective and vary the system’s dimensions up to D = 7, beyond the supposed upper critical dimension of . These results may serve to check analytical predictions and help understand how the medium’s fractal structure impacts on the walks’ scaling behavior.
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