Random potentials for pinning models with Laplacian interactions

2014/08/04 by Chien-Hao Huang, Huang, Chien-Hao
Mathematics · #FOS: Mathematics #Probability (math.PR) #math.PR

paper · pdf · doi:10.48550/arxiv.1408.0572

18 pages. It's a revision of part of arXiv:1211.3768

arxiv created 2014/08/04 · arxiv updated 2014/08/05

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.

Citations

• Random potentials for pinning models with ∇ and Δinteractions

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