𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Labyrinthine patterns in a self-avoiding growing string

✍ Scribed by Tomotsu Kohyama

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
508 KB
Volume
233
Category
Article
ISSN
0378-4371

No coin nor oath required. For personal study only.

✦ Synopsis

We propose a model of a self-avoiding growing string with excluded volume effects. In this model, the string develops to form a complex shape like a labyrinth. We find simple dynamical scaling relations for several characteristic quantities, including the radius of gyration and radius of curvature. Detailed numerical calculations show that there are two length scales and one time scale characterizing the shape transformations of the growing string.

πŸ“œ SIMILAR VOLUMES

Exact solution of indefinitely growing s
Exact solution of indefinitely growing self-avoiding and Hamiltonian walk on fractals in four dimensions
✍ M. A. Jafarizadeh; S. Razawi; S. K. A. Seyed-Yagoobi πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 327 KB πŸ‘ 2 views

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.