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A brief review of our recent studies aiming at a better understanding of the scaling behaviour of polymers in disordered environments is given. The main emphasis is on a simple generic model where the polymers are represented by…

软凝聚态物质 · 物理学 2014-11-19 V. Blavatska , N. Fricke , W. Janke

This review presents a unified view on the problem of Anderson localization in one-dimensional weakly disordered systems with short-range and long-range statistical correlations in random potentials. The following models are analyzed: the…

无序系统与神经网络 · 物理学 2012-05-15 F. M. Izrailev , A. A. Krokhin , N. M. Makarov

This review is devoted to the detailed consideration of the universal statistical properties of one-dimensional directed polymers in a random potential. In terms of the replica Bethe ansatz technique we derive several exact results for…

统计力学 · 物理学 2017-03-14 Victor Dotsenko

The impact of impenetrable obstacles on the energetics and equilibrium structure of strongly repulsive directed polymers is investigated. As a result of the strong interactions, regions of severe polymer depletion and excess are found in…

软凝聚态物质 · 物理学 2013-08-30 Anton Souslov , D. Zeb Rocklin , Paul M. Goldbart

We study the dynamics of a single chain polymer confined to a two dimensional cell. We introduce a kinetically constrained lattice gas model that preserves the connectivity of the chain, and we use this kinetically constrained model to…

统计力学 · 物理学 2011-11-09 Armin Rahmani , Claudio Castelnovo , Jeremy Schmit , Claudio Chamon

Using the results of the recently studied problem of adsorption of a Gaussian polymer in a weak periodic surface potential we study the influence of a single rod like defect on the polymer being localized in the periodic surface potential.…

统计力学 · 物理学 2009-11-07 Andrei A. Fedorenko , Semjon Stepanow

We analyze static properties of a strongly confined semiflexible polymer, i.e. either trapped in a closed space or compressed by external forces, in an athermal solvent. Like a flexible polymer case, we can resort to an analogy with the…

软凝聚态物质 · 物理学 2009-11-13 Takahiro Sakaue

We investigate the universal fluctuations of localized wavefunction in the Fock space of two interacting particles in one-dimensional disordered systems, focusing on the interplay between random potentials and random long-range…

无序系统与神经网络 · 物理学 2025-07-04 Sen Mu , Gabriel Lemarié , Jiangbin Gong

Cette these est consacree a l' etude de differents modeles aleatoires de polymeres. On s'interesse en particulier a l'influence du desordre sur la localisation des trajectoires pour les modeles d'accrochage et pour les polymeres diriges en…

概率论 · 数学 2009-11-20 Hubert Lacoin

We construct a 1+1 dimensional superstring-bit model for D=3 Type IIB superstring. This low dimension model escapes the problems encountered in higher dimension models: (1) It possesses full Galilean supersymmetry; (2) For noninteracting…

高能物理 - 理论 · 物理学 2009-10-28 Oren Bergman , Charles B. Thorn

Using molecular dynamics simulation of a standard bead-spring model we investigate the density crossover scaling of strictly two-dimensional self-avoiding polymer chains focusing on properties related to the contact exponent set by the…

软凝聚态物质 · 物理学 2015-06-03 N. Schulmann , H. Meyer , J. P. Wittmer , A. Johner , J. Baschnagel

Long linear polymers in a depinned interfaces environment have been studied for a long time, for instance in \cite{Caravenna2009depinning} when the temperature is constant. In this paper, we study an extension of this model by making the…

概率论 · 数学 2024-10-10 Angot Elric

We consider the phase coherent transport of a quasi one-dimensional beam of Bose-Einstein condensed particles through a disordered potential of length L. Among the possible different types of flow identified in [T. Paul et al., Phys. Rev.…

量子气体 · 物理学 2009-09-18 T. Paul , M. Albert , P. Schlagheck , P. Leboeuf , N. Pavloff

We consider a directed polymer model in dimension $1+1$, where the disorder is given by the occupation field of a Poisson system of independent random walks on $\mathbb Z$. In a suitable continuum and weak disorder limit, we show that the…

概率论 · 数学 2021-04-20 Hao Shen , Jian Song , Rongfeng Sun , Lihu Xu

Localization driven by disorder has a strong influence on the conducting property of conducting polymer. A class of authors hold the opinion that disorder in the material is homogeneous and conducting polymer is disordered metal close to…

材料科学 · 物理学 2009-11-10 G. Li , P. Zheng , N. L. Wang , Y. Z. Long , Z. J. Chen , J. C. Li , M. X. Wan

We explore the effect of an attractive interaction between parallel-aligned polymers, which are perpendicularly grafted on a substrate. Such an attractive interaction could be due to, e.g., reversible cross-links. The competition between…

软凝聚态物质 · 物理学 2013-10-08 Panayotis Benetatos , Eugene M. Terentjev , Annette Zippelius

In this article we study the effect of a delta-interaction on a polymerized membrane of arbitrary internal dimension D. Depending on the dimensionality of membrane and embedding space, different physical scenarios are observed. We emphasize…

凝聚态物理 · 物理学 2009-11-07 Henryk A. Pinnow , Kay Joerg Wiese

The extent of coupling between the folding of a protein and its binding to a substrate varies from protein to protein. Some proteins have highly structured native states in solution, while others are natively disordered and only fold fully…

软凝聚态物质 · 物理学 2012-05-16 Brenda M. Rubenstein , Ivan Coluzza , Mark A. Miller

For a $(3+1)$-dimensional generalization of the Schwinger model, we compute the interaction energy between two test charges. The result shows that the static potential profile contains a linear term leading to the confinement of probe…

高能物理 - 理论 · 物理学 2017-05-24 Antonio Aurilia , Patricio Gaete , José A. Helayël-Neto , Euro Spallucci

We have examined the behaviors of a knotted linear polymer in narrow tubes using Langevin dynamics simulation to investigate the knot localization property in one-dimensional (1D) geometry. We have found that the knot is strongly localized…

软凝聚态物质 · 物理学 2012-06-05 Chihiro H. Nakajima , Takahiro Sakaue