Critical exponent for the loop erased self-avoiding walk by Monte Carlo methods |
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| Authors: | A J Guttmann R J Bursill |
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| Institution: | (1) Department of Mathematics, University of Melbourne, 3052 Parkville, Victoria, Australia |
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| Abstract: | A Monte Carlo simulation was performed for loop-erased self-avoiding walks (LESAW) to ascertain the exponentv for the Z2 and Z3 lattices. The estimated values were 2v=1.600±0.006 in two dimensions and 2v=1.232±0.008 in three dimensions, leading to the conjecturev=4/5 for the two-dimensional LESAW. These results add to existing evidence that the loop-erased self-avoiding walks are not in the same universality class as self-avoiding walks. |
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| Keywords: | Loop-erased SAWS Monte Carlo critical exponent universality class critical behavior two dimensional three dimensional |
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