Interacting linear polymers on three-dimensional Sierpinski fractals
Abstract
Using self-avoiding walk model on three-dimensional Sierpinski fractals (3d SF) we have studied critical properties of self-interacting linear polymers in porous environment, via exact real-space renormalization group (RG) method. We have found that RG equations for 3d SF with base b=4 are much more complicated than for the previously studied b=2 and b=3 3d SFs. Numerical analysis of these equations shows that for all considered cases there are three fixed points, corresponding to the high-temperature extended polymer state, collapse transition, and the low-temperature state, which is compact or semi-compact, depending on the value of the fractal base b. We discuss the reasons for such different low--temperature behavior, as well as the possibility of establishing the RG equations beyond b=4.
Cite
@article{arxiv.cond-mat/0205509,
title = {Interacting linear polymers on three-dimensional Sierpinski fractals},
author = {Jelena Maricic and Suncica Elezovic-Hadzic},
journal= {arXiv preprint arXiv:cond-mat/0205509},
year = {2007}
}