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Self avoiding walks in four dimensions: logarithmic corrections

By Peter Grassberger, Rainer Hegger and Lothar Schäfer


We present simulation results for long (N ≤ 4000) self-avoiding walks in four dimensions. We find definite indications of logarithmic corrections, but the data are poorly described by the asymptotically leading terms. Detailed comparisons are presented with renormalization group flow equations derived in direct renormalization and with results of a field theoretic calculation. 1

Year: 1994
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