Large scale behavior of semiflexible heteropolymers

Francesco Caravenna; Giambattista Giacomin; Massimiliano Gubinelli

Annales de l'I.H.P. Probabilités et statistiques (2010)

  • Volume: 46, Issue: 1, page 97-118
  • ISSN: 0246-0203

Abstract

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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 scales and we obtain an expression for the diffusion constant. We moreover give conditions yielding quantitative mixing properties.

How to cite

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Caravenna, Francesco, Giacomin, Giambattista, and Gubinelli, Massimiliano. "Large scale behavior of semiflexible heteropolymers." Annales de l'I.H.P. Probabilités et statistiques 46.1 (2010): 97-118. <http://eudml.org/doc/243899>.

@article{Caravenna2010,
abstract = {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 scales and we obtain an expression for the diffusion constant. We moreover give conditions yielding quantitative mixing properties.},
author = {Caravenna, Francesco, Giacomin, Giambattista, Gubinelli, Massimiliano},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {heteropolymer; semiflexible chain; disorder; persistence length; large scale limit; tensor analysis; non-commutative Fourier analysis},
language = {eng},
number = {1},
pages = {97-118},
publisher = {Gauthier-Villars},
title = {Large scale behavior of semiflexible heteropolymers},
url = {http://eudml.org/doc/243899},
volume = {46},
year = {2010},
}

TY - JOUR
AU - Caravenna, Francesco
AU - Giacomin, Giambattista
AU - Gubinelli, Massimiliano
TI - Large scale behavior of semiflexible heteropolymers
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2010
PB - Gauthier-Villars
VL - 46
IS - 1
SP - 97
EP - 118
AB - 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 scales and we obtain an expression for the diffusion constant. We moreover give conditions yielding quantitative mixing properties.
LA - eng
KW - heteropolymer; semiflexible chain; disorder; persistence length; large scale limit; tensor analysis; non-commutative Fourier analysis
UR - http://eudml.org/doc/243899
ER -

References

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