A heteropolymer near a linear interface
type: Item
instance of: scholarly article
title: A heteropolymer near a linear interface
zbMATH Open document ID: 0971.60098
author: M. Biskup
author: F. den Hollander
published in: The Annals of Applied Probability
publication date: 2000-09-04T00:00:00Z
review text: The authors consider a quenched-disordered heteropolymer modeled by a directed simple random walk \((i,S_i)\) with an interaction given by a Hamiltonian \(H_n(S)=\lambda\sum_{i=1}^n(\omega_i+h)\text{sign}(S_i)\), where \(\lambda\) and \(h\) are parameters and \(\omega_i\) are i.i.d random variables that take values \(+1\) and \(-1\). It was shown by \textit{E. Bolthausen} and \textit{F. den Hollander} [Ann. Probab. 25, No. 3, 1334-1366 (1997; Zbl 0885.60022)] that the free energy of this system exhibits a localization-delocalization phase transition at a curve in the \((\lambda,h)\)-plane. In the present paper it is shown that the free-energy localization concept is equivalent to the pathwise localization.
reviewed by: A. Khorunzhy
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 82D30
Mathematics Subject Classification ID: 82B44
zbMATH DE Number: 1500252
zbMATH Keywords: heteropolymer
zbMATH Keywords: localization
zbMATH Keywords: quenched disorder
zbMATH Keywords: Gibbs state
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aoap/1029962808
OpenAlex ID: W2130849172
cites work: Free energy and some sample path properties of a random walk with random potential.
cites work: Localization transition for a polymer near an interface
cites work: Gibbs measures and phase transitions
cites work: A self-avoiding walk model of random copolymer adsorption
cites work: Q4274915
cites work: Q4341444
DOI: 10.1214/AOAP/1029962808
description: scientific article; zbMATH DE number 1500252