Monte Carlo simulations of loop-erased self-avoiding random walks in four and five dimensions were performed, using two distinct algorithms. We find consistency between these methods in their estimates of critical exponents. The upper critical dimension for this phenomenon is four, and it has been s
✦ LIBER ✦
Loop-erased self-avoiding walks in two dimensions: exact critical exponents and winding numbers
✍ Scribed by Bertrand Duplantier
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 411 KB
- Volume
- 191
- Category
- Article
- ISSN
- 0378-4371
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## Abstract The first and second correction‐to‐scaling exponents for two‐dimensional self‐avoiding walks have been estimated using exact enumeration data up to twenty‐two steps, and Monte Carlo simulation data from twenty‐three up to two hundred steps. It was found that Δ~1~, the first correction‐t