## 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
Renormalization of a self-avoiding Brownian motion in two dimensions
✍ Scribed by Wei-Shih Yang
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 1010 KB
- Volume
- 80
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We study the effect of a field on the span of a particle diffusing on a line, i.e., the length covered by a Brownian particle which moves on a line for time t in the presence of a constant field. This is the one-dimensional analog of the Wiener sausage volume. Exact expressions are found for the pro
We show that the critical mass M c ¼ 8p of bacterial populations in two dimensions in the chemotactic problem is the counterpart of the critical temperature T c ¼ GMm=4k B of self-gravitating Brownian particles in two-dimensional gravity. We obtain these critical values by using the Virial theorem o
The exponent u and the connectivity constant p of an indefinitely growing self-avoiding walk and the pH for Hamiltonian walk in five simplex fractal have been calculated. We show that u is a decreasing function of d and that d = 4 is not the critical dimension.