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Related papers: Pinning of polymers and interfaces by random poten…

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We study the critical point of directed pinning/wetting models with quenched disorder. The distribution K(.) of the location of the first contact of the (free) polymer with the defect line is assumed to be of the form…

Probability · Mathematics 2009-11-13 B. Derrida , G. Giacomin , H. Lacoin , F. L. Toninelli

We consider the Random Walk Pinning Model studied in [3,2]: this is a random walk X on Z^d, whose law is modified by the exponential of \beta times L_N(X,Y), the collision local time up to time N with the (quenched) trajectory Y of another…

Probability · Mathematics 2010-07-22 Q. Berger , F. Toninelli

In this paper we consider a model which describes a polymer chain interacting with an infinity of equi-spaced linear interfaces. The distance between two consecutive interfaces is denoted by T = T_N and is allowed to grow with the size N of…

Probability · Mathematics 2009-01-20 Francesco Caravenna , Nicolas Pétrélis

We studied the dynamics of a quasi-one-dimensional chain-like system of charged particles at low temperature, interacting through a screened Coulomb potential in the presence of a local constriction. The response of the system when an…

Chaotic Dynamics · Physics 2009-11-11 G. Piacente , F. M. Peeters

The aim of this paper is to investigate the distribution of a continuous homopolymer in the presence of an attractive finitely supported potential. The most intricate behavior can be observed if we simultaneously vary two parameters: the…

Probability · Mathematics 2013-01-23 Leonid Koralov , Zsolt Pajor-Gyulai

In this work, we address the occurrence of infinite pinning in a random medium. We suppose that an initially flat interface starts to move through the medium due to some constant driving force. The medium is assumed to contain random…

Analysis of PDEs · Mathematics 2020-07-16 Patrick Dondl , Martin Jesenko , Michael Scheutzow

We propose a model for two $(d+1)$-dimensional directed polymers subjected to a mutual $\delta$-function interaction with a random coupling constant, and present an exact renormalization group study for this system. The exact…

Condensed Matter · Physics 2009-10-22 Sutapa Mukherji , Somendra M. Bhattacharjee

We consider models of directed polymers interacting with a one-dimensional defect line on which random charges are placed. More abstractly, one starts from renewal sequence on $\Z$ and gives a random (site-dependent) reward or penalty to…

Probability · Mathematics 2007-06-13 F. L. Toninelli

The compression of soft elastic matter and biological tissue can lead to creasing, an instability where a surface folds sharply into periodic self-contacts. Intriguingly, the unfolding of the surface upon releasing the strain is usually not…

We consider disordered models of pinning of directed polymers on a defect line, including (1+1)-dimensional interface wetting models, disordered Poland--Scheraga models of DNA denaturation and other (1+d)-dimensional polymers in interaction…

Disordered Systems and Neural Networks · Physics 2007-05-23 G. Giacomin , F. L. Toninelli

We present Monte Carlo simulations of semidilute solutions of long self-attracting chain polymers near their Ising type critical point. The polymers are modeled as monodisperse self-avoiding walks on the simple cubic lattice with attraction…

Soft Condensed Matter · Physics 2009-10-30 H. Frauenkron , P. Grassberger , HLRZ Juelich , Germany

We explore the critical behaviour of two and three dimensional lattice models of polymers in dilute solution where the monomers carry a magnetic moment which interacts ferromagnetically with near-neighbour monomers. Specifically, the model…

Statistical Mechanics · Physics 2021-08-25 Damien Paul Foster , Debjyoti Majumdar

This paper provides a rigorous study of the localization transition for a Gaussian free field on $\mathbb{Z}^d$ interacting with a quenched disordered substrate that acts on the interface when the interface height is close to zero. The…

Probability · Mathematics 2015-07-23 Giambattista Giacomin , Hubert Lacoin

We have studied how 2- and 3- dimensional systems made up of particles interacting with finite range, repulsive potentials jam (i.e., develop a yield stress in a disordered state) at zero temperature and applied stress. For each…

Soft Condensed Matter · Physics 2007-05-23 C. S. O'Hern , L. E. Silbert , A. J. Liu , S. R. Nagel

A polymer repelled by unfavorable interactions with a uniform flat surface may still be pinned to attractive edges and corners. This is demonstrated by considering adsorption of a two-dimensional ideal polymer to an attractive corner of a…

Statistical Mechanics · Physics 2017-12-27 Raz Halifa Levi , Yacov Kantor , Mehran Kardar

Previous experiments have shown that spherical colloidal particles relax to equilibrium slowly after they adsorb to a liquid-liquid interface, despite the large interfacial energy gradient driving the adsorption. The slow relaxation has…

Soft Condensed Matter · Physics 2016-11-08 Anna Wang , Ryan McGorty , David M. Kaz , Vinothan N. Manoharan

In this paper we consider in detail the connection between the problem of a polymer in a random medium and that of a quantum particle in a random potential. We are interested in a system of finite volume where the polymer is known to be…

Disordered Systems and Neural Networks · Physics 2009-10-31 Yohannes Shiferaw , Yadin Y. Goldschmidt

Molecular dynamics simulations were performed for a polymer melt. In quiescent states, the inter-chain interaction energy supported by each particle takes relatively large values persistently for long times if the particle is close to an…

Soft Condensed Matter · Physics 2007-05-23 Ryoichi Yamamoto , Akira Onuki

We study the effect of physical confinement on the capillary infiltration of polymers into cylindrical nanopores using molecular dynamics simulations. In particular, we probe whether the critical contact angle above which capillary rise…

Soft Condensed Matter · Physics 2018-09-03 David J. Ring , Robert A. Riggleman , Daeyeon Lee

We study random pinning and copolymer models, when the return distribution of the underlying renewal process has a polynomial tail with finite mean. We compute the asymptotic behavior of the critical curves of the models in the weak…

Probability · Mathematics 2015-06-12 Quentin Berger , Francesco Caravenna , Julien Poisat , Rongfeng Sun , Nikos Zygouras