Random potentials for pinning models with Laplacian interactions
Probability
2014-08-05 v1
Abstract
We consider a statistical mechanics model for biopolymers. Sophisticated polymer chains, such as DNA, have stiffness when they stretch chains. The Laplacian interaction is used to describe the stiffness. Also, the surface between two media has an attraction force, and the force will pull the chain back to the surface. In this paper, we deal with the random potentials when the monomers interact with the random media. Although these models are different from the pinning models studied before, the result about the gap between the annealed critical point and the quenched critical point stays the same.
Keywords
Cite
@article{arxiv.1408.0572,
title = {Random potentials for pinning models with Laplacian interactions},
author = {Chien-Hao Huang},
journal= {arXiv preprint arXiv:1408.0572},
year = {2014}
}
Comments
18 pages. It's a revision of part of arXiv:1211.3768