Persistence length convergence and universality for the self-avoiding random walk
At a Glance
Section titled “At a Glance”| Metadata | Details |
|---|---|
| Publication Date | 2018-11-06 |
| Journal | Journal of Physics A Mathematical and Theoretical |
| Authors | Cristiano Roberto Fabri Granzotti, Fabiano L. Ribeiro, Alexandre Souto Martinêz, Marco Antonio Alves da Silva |
| Institutions | Universidade Federal de Lavras, Universidade de Ribeirão Preto |
| Citations | 6 |
Abstract
Section titled “Abstract”In this study, we show the convergence and new properties of persistence length, , for the self-avoiding random walk model (SAW) using Monte Carlo data. We generate high precision estimates of several conformational quantities with a pivot algorithm for the square, hexagonal, triangular, cubic and diamond lattices with path lengths of 103 steps. For each lattice, we accurately estimate the asymptotic limit , which corroborates the convergence of to a constant value, and allows us to check the universality on the curves. Based on the estimates we make an ansatz for dependency with lattice cell and spatial dimension, we also find a new geometric interpretation for the persistence length.