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Related papers: Heteropolymers in a Solvent at an Interface

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A chain with random hydrophobic-hydrophilic charges is studied in the presence of an interface separating a polar from a non polar solvent. Within a Gaussian variational approach in replica space, a transition is found, from a high…

Statistical Mechanics · Physics 2009-10-31 Antonio Trovato , Amos Maritan

To study the localization of random heteropolymers at an interface separating two selective solvents within the model of Garel, Huse, Leibler and Orland, Europhys. Lett. {\bf 8} 9 (1989), we propose an approach based on a disorder-dependent…

Condensed Matter · Physics 2015-06-25 Cecile Monthus

We consider a directed random walk model of a random heterogeneous polymer in the proximity of an interface separating two selective solvents. This model exhibits a localization/delocalization transition. A positive value of the free energy…

Probability · Mathematics 2007-05-23 Giambattista Giacomin , Fabio Lucio Toninelli

We address the response of a random heteropolymer to preferential solvation of certain monomer types at the globule-solvent interface. For each set of monomers that can comprise the molecule's surface, we represent the ensemble of allowed…

Soft Condensed Matter · Physics 2009-11-10 Philip Geissler , Eugene Shakhnovich , Alexander Grosberg

In this article, I study the localization transition of an hydrophobic homopolymer in interaction with an interface between oil and water. To that aim I consider a model in which the trajectories of a simple random walk play the role of the…

Probability · Mathematics 2016-08-16 Nicolas Pétrélis

We analyze a (1+1)-dimension directed random walk model of a polymer dipped in a medium constituted by two immiscible solvents separated by a flat interface. The polymer chain is heterogeneous in the sense that a single monomer may…

Probability · Mathematics 2007-05-23 Erwin Bolthausen , Giambattista Giacomin

This paper studies a polymer chain in the vicinity of a linear interface separating two immiscible solvents. The polymer consists of random monomer types, while the interface carries random charges. Both the monomer types and the charges…

Probability · Mathematics 2015-06-05 Frank den Hollander , Alex A. Opoku

In this paper we consider a two-dimensional copolymer consisting of a random concatenation of hydrophobic and hydrophilic monomers near a linear interface separating oil and water acting as solvents. The configurations of the copolymer are…

Probability · Mathematics 2012-02-21 E. Bolthausen , F. den Hollander , A. A. Opoku

We analyze the localized phase of a general model of a directed polymer in the proximity of an interface that separates two solvents. Each monomer unit carries a charge, $\omega_n$, that determines the type (attractive or repulsive) and the…

Probability · Mathematics 2007-05-23 G. Giacomin , F. L. Toninelli

The number of allowed configurations of a polymer is reduced by the presence of a repulsive surface resulting in an entropic force between them. We develop a method to calculate the entropic force, and detailed pressure distribution, for…

Statistical Mechanics · Physics 2014-02-11 Yosi Hammer , Yacov Kantor

In equilibrium the interface potential that describes the interaction between two AB interfaces in a binary blend of A and B homopolymers is attractive at all distances, resulting in coarsening of the blend morphology even in the absence of…

Soft Condensed Matter · Physics 2019-06-18 Louis Pigard , Marcus Müller

Random heteropolymers do not display the typical equilibrium properties of globular proteins, but are the starting point to understand the physics of proteins and, in particular, to describe their non-native states. So far, they have been…

Biomolecules · Quantitative Biology 2015-06-03 Guido Tiana , Ludovico Sutto

We consider the adsorption of a random heteropolymer onto an interface within the model by Garel et al. [1] by taking into account self-interactions between the monomers. Within the replica trick and by using a self-consistent preaveraging…

Soft Condensed Matter · Physics 2009-11-07 Valerii A. Brazhnyi , Semjon Stepanow

We study a single statistical amphiphilic copolymer chain AB in a selective solvent (e.g.water). Two situations are considered. In the annealed case, hydrophilic (A) and hydrophobic (B) monomers are at local chemical equilibrium and both…

Condensed Matter · Physics 2009-10-22 T. Garel , L. Leibler , H. Orland

The barriers between metastable states near the glass transition of a random heteropolymer are studied using replicas by describing inhomogeneous states. The instanton solution for a replica space free energy functional is found numerically…

Disordered Systems and Neural Networks · Physics 2008-02-03 Shoji Takada , Peter G. Wolynes

We study the localisation of lattice polymer models near a permeable interface in two dimensions. Localisation can arise due to an interaction between the polymer and the interface, and can be altered by a preference for the bulk solvent on…

Statistical Mechanics · Physics 2024-07-24 C J Bradly , N R Beaton , A L Owczarek

We consider a model of a random copolymer at a selective interface which undergoes a localization/delocalization transition. In spite of the several rigorous results available for this model, the theoretical characterization of the phase…

Mathematical Physics · Physics 2007-05-23 F. Caravenna , G. Giacomin , M. Gubinelli

In this paper we investigate the problem of a long self-avoiding polymer chain immersed in a random medium. We find that in the limit of a very long chain and when the self-avoiding interaction is weak, the conformation of the chain…

Disordered Systems and Neural Networks · Physics 2009-11-07 Yadin Y. Goldschmidt , Yohannes Shiferaw

Random heteropolymers are a minimal description of biopolymers and can provide a theoretical framework to the investigate the formation of loops in biophysical experiments. A two--state model provides a consistent and robust way to study…

Quantitative Methods · Quantitative Biology 2016-09-28 Y. Zhan , L. Giorgetti , G. Tiana

This paper describes directed polymer on general time-correlated random field. Law of large numbers, existence and smoothness of limiting free energies are proved at all temperature. We also display the delocalized-localized transition, via…

Probability · Mathematics 2024-12-20 Jiaming Chen
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