Abstract
The concept of fractal dimensionality is used to study different statistical methods for generating self-avoiding walks (SAWs). The reliability of SAWs traced by the enrichment technique and the dynamic Monte Carlo technique is verified. The number of dynamic cycles which represent a single independent SAW of N0 steps is found to be about 0.1 N03. We show that the enrichment process for generating SAWs may be presented as a critical phenomenon.
Original language | English |
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Pages (from-to) | 661-670 |
Number of pages | 10 |
Journal | Journal of Statistical Physics |
Volume | 31 |
Issue number | 3 |
DOIs | |
State | Published - Jun 1983 |
Keywords
- Fractal dimensionality
- critical phenomena
- dynamic Monte Carlo
- enrichment Monte Carlo
- self-avoiding walks