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Related papers: Conformational properties of polymers in anisotrop…

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We analyze the recently proposed "pattern-matching" phase of a Gaussian random heteropolymer adsorbed on a disordered substrate [S. Srebnik, A.K. Chakraborty and E.I. Shakhnovich, Phys. Rev. Lett. 77, 3157 (1996)]. By mapping the problem to…

Statistical Mechanics · Physics 2009-10-30 T. Hwa , D. Cule

We study the effect of generic spatial anisotropies on the scaling behavior in the Kardar-Parisi-Zhang equation. In contrast to its "conserved" variants, anisotropic perturbations are found to be relevant in d > 2 dimensions, leading to…

Statistical Mechanics · Physics 2009-11-07 Uwe C. Tauber , E. Frey

The friction force observed at macroscale is the result of interactions at various lower length scales that are difficult to model in a combined manner. For this reason, simplified approaches are required, depending on the specific aspect…

Materials Science · Physics 2018-01-12 Gianluca Costagliola , Federico Bosia , Nicola M. Pugno

The response of amorphous solids to a mechanical perturbation consists in an elastic and a plastic deformation. The latter is mediated by localized irreversible rearrangements associated with Eshelby-like quadrupolar singularities in the…

Soft Condensed Matter · Physics 2026-04-13 Gilles Tarjus , Misaki Ozawa , Giulio Biroli

We examine the scaling of the linear dimension of the system size of a real polymer solution at constant excess free energy and in two different spacial dimensionalities, d=d0 and d=d1. Standard results for the functional form of the excess…

Soft Condensed Matter · Physics 2008-09-23 C. P. Lowe , M. W. Dreischor

We consider the minimization of an energy functional given by the sum of a crystalline perimeter and a nonlocal interaction of Riesz type, under volume constraint. We show that, in the small mass regime, if the Wulff shape of the…

Analysis of PDEs · Mathematics 2021-04-02 Marco Bonacini , Riccardo Cristoferi , Ihsan Topaloglu

We study the static properties of a semiflexible polymer exposed to a quenched random environment by means of computer simulations. The polymer is modeled as two-dimensional Heisenberg chain. For the random environment we consider hard…

Soft Condensed Matter · Physics 2012-11-20 Sebastian Schoebl , Johannes Zierenberg , Wolfhard Janke

The density crossover scaling of various thermodynamic properties of solutions and melts of self-avoiding and highly flexible polymer chains without chain intersections confined to strictly two dimensions is investigated by means of…

Soft Condensed Matter · Physics 2012-09-03 N. Schulmann , H. Meyer , P. Polińska , J. Baschnagel , J. P. Wittmer

We present a unified scaling theory for the structural behavior of polymers embedded in a disordered energy substrate. An optimal polymer configuration is defined as the polymer configuration that minimizes the sum of interacting energies…

Disordered Systems and Neural Networks · Physics 2009-09-22 Roni Parshani , Lidia A. Braunstein , Shlomo Havlin

We demonstrate that the recently proposed pruned-enriched Rosenbluth method PERM (P. Grassberger, Phys. Rev. E, in press (1997)) leads to extremely efficient algorithms for the folding of simple model proteins. We test it on several models…

Statistical Mechanics · Physics 2007-05-23 Ugo Bastolla , Helge Frauenkron , Erwin Gerstner , Peter Grassberger , Walter Nadler

The predictions of the polymer mode coupling theory for the finite size corrections to the transport coefficients of entangled polymeric systems are tested in comparisons with various experimental data. It is found that quantitative…

Condensed Matter · Physics 2009-10-30 Matthias Fuchs , Kenneth S. Schweizer

We show that two semi-infinite positive temperature polymers coalesce on the scale predicted by KPZ (Kardar-Parisi-Zhang) universality. The two polymer paths have the same asymptotic direction and evolve in the same environment,…

Probability · Mathematics 2023-05-18 Firas Rassoul-Agha , Timo Seppäläinen , Xiao Shen

A comparative simulation study of polymer brushes formed by grafting at a planar surface either flexible linear polymers (chain length $N_L$) or (non-catenated) ring polymers (chain length $N_R=2 N_L$) is presented. Two distinct off-lattice…

Soft Condensed Matter · Physics 2015-05-28 Daniel Reith , Andrey Milchev , Peter Virnau , Kurt Binder

The structure of a polystyrene matrix filled with tightly cross-linked polystyrene nanoparticles, forming an athermal nanocomposite system, is investigated by means of a Monte Carlo sampling formalism. The polymer chains are represented as…

Soft Condensed Matter · Physics 2014-01-17 Georgios G. Vogiatzis , Evangelos Voyiatzis , Doros N. Theodorou

The rapid collapse of a polymer, due to external forces or changes in solvent, yields a long-lived `crumpled globule.' The conjectured fractal structure shaped by hierarchical collapse dynamics has proved difficult to establish, even with…

Soft Condensed Matter · Physics 2015-10-07 Guy Bunin , Mehran Kardar

Coupled length and time scales determine the dynamic behavior of polymers and underlie their unique viscoelastic properties. To resolve the long-time dynamics it is imperative to determine which time and length scales must be correctly…

Soft Condensed Matter · Physics 2016-02-16 K. Michael Salerno , Anupriya Agrawal , Dvora Perahia , Gary S. Grest

Polytopal Element Methods (PEM) allow to solve differential equations on general polygonal and polyhedral grids, potentially offering great flexibility to mesh generation algorithms. Differently from classical finite element methods, where…

Graphics · Computer Science 2024-09-23 M. Attene , S. Biasotti , S. Bertoluzza , D. Cabiddu , M. Livesu , G. Patanè , M. Pennacchio , D. Prada , M. Spagnuolo

This research paper comprehensively explores the effects of molecular weight and chain architecture on the interfacial and thermodynamic properties of cyclic and linear polymer blends. Utilizing the Kremer-Grest bead-spring model, the study…

Soft Condensed Matter · Physics 2025-07-11 Oluwatumininu Emmanuel Ayo-Ojo , Nkosinathi Dlamini

A brief review is presented of the scaling of complex fluids, polymers and polyelectrolytes in solution and in confined geometry, in thermodynamical, structural and rheology properties using equilibrium and nonequilibrium dissipative…

Soft Condensed Matter · Physics 2016-12-06 Armando Gama Goicochea

We use a continuous mesoscopic model to address the yielding properties of plastic composites, formed by a host material and inclusions with different elastic and/or plastic properties. We investigate the flow properties of the composed…

Statistical Mechanics · Physics 2020-05-06 E. A. Jagla