Large scale behavior of semiflexible heteropolymers

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We consider a general discrete model for heterogeneous semiflexible polymer chains. Both the thermal noise and the inhomogeneous character of the chain (the disorder) are modeled in terms of random rotations. We focus on the quenched regime, i.e., the analysis is performed for a given realization of the disorder. Semiflexible models differ substantially from random walks on short scales, but on large scales a Brownian behavior emerges. By exploiting techniques from tensor analysis and non-commutative Fourier analysis, we establish the Brownian character of the model on large scale and we obtain an expression for the diffusion constant. We moreover give conditions yielding quantitative mixing properties.
24 pages, 1 figure; corrected typos, added French abstract; accepted version to appear in Annales de l'Institut Henri Poincaré

Keywords

Probability, 60K37; 82B44; 60F05; 43A75

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/213112

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0807.4232
 http://arxiv.org/abs/0807.4232

Collections

arXiv