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Related papers: Freezing and collapse of flexible polymers

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Through extensive molecular simulations we determine a phase diagram of attractive, flexible polymer chains in two and three dimensions. A surprisingly rich collection of distinct crystal morphologies appear, which can be finely tuned…

We report on quantitative comparisons between simulation results of a bead-spring model and mode-coupling theory calculations for the structural and conformational dynamics of a supercooled, unentangled polymer melt. We find…

Soft Condensed Matter · Physics 2009-11-13 Song-Ho Chong , Martin Aichele , Hendrik Meyer , Matthias Fuchs , Jörg Baschnagel

In a system of interacting thin rigid rods of equal length $2 \ell$ on a two-dimensional grid of lattice spacing $a$, we show that there are multiple phase transitions as the coupling strength $\kappa=\ell/a$ and the temperature are varied.…

Statistical Mechanics · Physics 2022-11-23 Juliane U. Klamser , Tridib Sadhu , Deepak Dhar

We study the behaviour of a hydrophobic chain near a hydrophobic boundary in two dimensions, using the decorated lattice model of Berkema and Widom [G.T. Barkema and B. Widom, J. Chem. Phys. 113, 2349 (2000)] to obtain effective,…

Statistical Mechanics · Physics 2015-06-24 Pinar Onder , Ayse Erzan

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

Mathematical Physics · Physics 2020-12-04 L. Koralov , S. Molchanov , B. Vainberg

Thin polymer films have attracted attention because of both their broad range of applications and of the fundamental questions they raise regarding the dynamic response of confined polymers. These films are unstable if the temperature is…

A lattice model is used to estimate the self-diffusivity of entangled cyclic and linear polymers in blends of varying compositions. To interpret simulation results, we suggest a minimal model based on the physical idea that constraints…

Soft Condensed Matter · Physics 2022-03-21 Sachin Shanbhag

We present a set of molecular dynamics (MD) simulations of strongly charged, flexible polyelectrolyte chains under poor solvent conditions in a salt free solution. Structural properties of the chains and of the solutions are reported. By…

Soft Condensed Matter · Physics 2007-05-23 Uwe Micka , Christian Holm , Kurt Kremer

The transport of polymers with folded configurations across membrane pores is investigated theoretically by analyzing simple discrete stochastic models. The translocation dynamics is viewed as a sequence of two events: motion of the folded…

Statistical Mechanics · Physics 2009-11-13 Stanislav Kotsev , Anatoly B. Kolomeisky

We present a simple yet generic model for the behavior of a system of many surface-attached flexible polymers with rigid side chains. Beyond its potential application in describing the dynamics of the extracellular matrix of mammalian…

Statistical Mechanics · Physics 2008-04-01 Marcel Hellmann , Youjin Deng , Matthias Weiss , Dieter W. Heermann

The coil-globule transition has been studied for A-B copolymer chains both by means of lattice Monte Carlo simulations using bond fluctuation algorithm and by a numerical self-consistent field method. Copolymer chains of fixed length with A…

Ring, or cyclic, polymers have unique properties compared to linear polymers, due to their topologically closed structure that has no beginning or end. Experimental measurements on molecular ring polymers are challenging due to their…

Soft Condensed Matter · Physics 2023-03-15 Ruben Verweij , Julio Melio , Indrani Chakraborty , Daniela J Kraft

This article present the double-periodical lattice made of infinite elastic fibers that withstand bending and tension. The model describes the elastic properties of flat periodic structure. With this model the behavior of a two-dimensional…

Soft Condensed Matter · Physics 2016-12-05 V. Kobelev

The edge-cubic spin model on square lattice is studied via Monte Carlo simulation with cluster algorithm. By cooling the system, we found two successive symmetry breakings, i.e., the breakdown of $O_h$ into the group of $C_{3h}$ which then…

Statistical Mechanics · Physics 2009-11-13 Tasrief Surungan , Naoki Kawashima , Yutaka Okabe

Fragility is an empirical property that describes how abruptly a glass-forming material solidifies upon supercooling. The degree of fragility carries important implications for the functionality and processability of a material, as well as…

Soft Condensed Matter · Physics 2020-02-19 Simone Ciarella , Rutger A. Biezemans , Liesbeth M. C. Janssen

We investigate scaling limits of trees built by uniform attachment with freezing, which is a variant of the classical model of random recursive trees introduced in a companion paper. Here vertices are allowed to freeze, and arriving…

Probability · Mathematics 2024-04-09 Étienne Bellin , Arthur Blanc-Renaudie , Emmanuel Kammerer , Igor Kortchemski

Protein molecules often self-assemble by means of non-covalent physical bonds to form extended filaments, such as amyloids, F-actin, intermediate filaments, and many others. The kinetics of filament growth is limited by the disassembly…

Soft Condensed Matter · Physics 2015-03-24 A. Zaccone , I. Terentjev , L. DiMichele , E. M. Terentjev

We develop a simple coarse-grained bead-spring polymer model exhibiting competing crystallization and glass transitions. For quench rates slower than the critical nucleation rate $|\dot{T}|_{crit}$, systems exhibit a first-order…

Soft Condensed Matter · Physics 2013-03-25 Robert S. Hoy , Nikos Ch. Karayiannis

The longitudinal response of single semiflexible polymers to sudden changes in externally applied forces is known to be controlled by the propagation and relaxation of backbone tension. Under many experimental circumstances, realized, e.g.,…

Soft Condensed Matter · Physics 2011-02-25 Florian Thüroff , Benedikt Obermayer , Erwin Frey

We have studied the structure and free energy landscape of a semi-flexible lattice-polymer in the presence of a surface. At low temperatures coexistence of two-dimensional integer-folded crystals is observed. As the temperature is increased…

Soft Condensed Matter · Physics 2007-05-23 Jonathan Doye , Daan Frenkel
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