Ideal chains with fixed self-intersection rate
Statistical Mechanics
2011-11-09 v3
Abstract
We consider ideal chains in a hypercubic lattice \mathbb{Z}^{d}, d\geq3, with a fixed ratio m of self-intersection per monomer. Despite the simplicity of the geometrical constraint, this model shows some interesting properties, such as a collapse transition for a critical value m_{c}. Numerical simulations show a Self-Avoiding-Walk-like behavior for m<m_{c}, and a compact cluster configuration for m>m_{c}. The collapse seems to show the same characteristics as the canonical thermodynamical models for the coil-globule transition.
Cite
@article{arxiv.1109.5744,
title = {Ideal chains with fixed self-intersection rate},
author = {Simone Franchini},
journal= {arXiv preprint arXiv:1109.5744},
year = {2011}
}
Comments
10 pages, 4 figures