Correction of scaling exponents for self-avoiding walks in two dimensions

✍ Scribed by Jean Dayantis; Jean-François Palierne

• Publisher: John Wiley and Sons
• Year: 1996
• Tongue: English
• Weight: 404 KB
• Volume: 5
• Category: Article
• ISSN: 1022-1344
• DOI: 10.1002/mats.1996.040050608

✦ Synopsis

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‐to‐scaling exponent, is not the same when deduced from root‐mean‐square end‐to‐end distance and root‐mean‐square radius of gyration data. In the former case it was found that Δ~1~ = 0.84 ± 0.10, and in the latter case it was found that Δ~1~ = 1.13 ± 0.03. These results are discussed with reference to previous estimates. The reliability of our Monte Carlo data has been checked making two different tests, including the use of a different random number generator, and it is concluded that apparently no artefact can account for the above different values found for Δ~1~.