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We perform equilibrium computer simulations of a two-dimensional pinned flexible polymer exposed to a quenched disorder potential consisting of hard disks. We are especially interested in the high-density regime of the disorder, where…

软凝聚态物质 · 物理学 2012-05-21 Sebastian Schöbl , Johannes Zierenberg , Wolfhard Janke

We analyse the nature of the confinement of an infinitely long (and finite) linear semiflexible homo-polymer chain confined in between two geometrical constraints (A&B) under good solvent condition in two dimensions. The constraints are…

软凝聚态物质 · 物理学 2017-10-16 Pramod Kumar Mishra

We develop off-lattice simulations of semiflexible polymer chains subjected to applied mechanical forces using Markov Chain Monte Carlo. Our approach models the polymer as a chain of fixed-length bonds, with configurations updated through…

软凝聚态物质 · 物理学 2024-11-26 Lijie Ding , Chi-Huan Tung , Bobby G. Sumpter , Wei-Ren Chen , Changwoo Do

The most conspicuous property of a semiflexible polymer is its persistence length, defined as the decay length of tangent correlations along its contour. Using an efficient stochastic growth algorithm to sample polymers embedded in a…

软凝聚态物质 · 物理学 2015-06-23 Sebastian Schöbl , Sebastian Sturm , Wolfhard Janke , Klaus Kroy

The persistence length of macromolecules is one of their basic characteristics, describing their intrinsic local stiffness. However, it is difficult to extract this length from physical properties of the polymers, different recipes may give…

软凝聚态物质 · 物理学 2013-03-12 Hsiao-Ping Hsu , Wolfgang Paul , Kurt Binder

We consider the lattice model for an ideal-linear polymer chain to mimic the conformations of the semi-flexible homo-polymer chain. The polymer chain is assumed to confine in the fairly small area, such that the flexible chain conformations…

软凝聚态物质 · 物理学 2020-10-23 Pramod Kumar Mishra

We present Monte Carlo computer simulations for melts of semiflexible randomly knotted and randomly concatenated ring polymers on the fcc lattice and in slit confinement. Through systematic variation of the slit width at fixed melt density,…

软凝聚态物质 · 物理学 2023-07-06 Mattia Alberto Ubertini , Angelo Rosa

We present using simple scaling arguments and one step replica symmetry breaking a theory for the localization of semiflexible polymers in a quenched random environment. In contrast to completely flexible polymers, localization of…

软凝聚态物质 · 物理学 2009-11-10 Arti Dua , Thomas A. Vilgis

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

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

Semiflexible macromolecules in dilute solution under very good solvent conditions are modeled by self-avoiding walks on the simple cubic lattice ($d=3$ dimensions) and square lattice ($d=2$ dimensions), varying chain stiffness by an energy…

软凝聚态物质 · 物理学 2015-05-30 Hsiao-Ping Hsu , Kurt Binder

Through extensive Monte Carlo simulations, we systematically study the effect of chain stiffness on the packing ability of linear polymers composed of hard spheres in extremely confined monolayers, corresponding effectively to 2D films.…

It has been revealed by mean-field theories and computer simulations that the nature of the collapse transition of a polymer is influenced by its bending stiffness $\epsilon_{\rm b}$. In two dimensions, a recent analytical work demonstrated…

软凝聚态物质 · 物理学 2009-11-13 Jie Zhou , Zhong-Can Ou-Yang , Haijun Zhou

Compact polymers are self-avoiding random walks which visit every site on a lattice. This polymer model is used widely for studying statistical problems inspired by protein folding. One difficulty with using compact polymers to perform…

软凝聚态物质 · 物理学 2009-11-11 Richard Oberdorf , Allison Ferguson , Jesper L. Jacobsen , Jane' Kondev

In this chapter we review the rich behavior of polymer chains embedded in a quenched random environment. We first consider the problem of a Gaussian chain free to move in a random potential with short-ranged correlations. We derive the…

无序系统与神经网络 · 物理学 2007-05-23 Yadin Y. Goldschmidt , Yohannes Shiferaw

Solutions of semiflexible polymers confined by repulsive planar walls are studied by density functional theory and Molecular Dynamics simulations, to clarify the competition between the chain alignment favored by the wall and the depletion…

软凝聚态物质 · 物理学 2016-05-25 Sergei A. Egorov , Andrey Milchev , Peter Virnau , Kurt Binder

We use an off - lattice bead - spring model of a self - avoiding polymer chain immersed in a 3-dimensional quenched random medium to study chain dynamics by means of a Monte - Carlo (MC) simulation. The chain center of mass mean-squared…

软凝聚态物质 · 物理学 2007-05-23 A. Milchev , V. G. Rostiashvili , T. A. Vilgis

We examine how disordering joint position influences the linear elastic behavior of lattice materials via numerical simulations in two-dimensional beam networks. Three distinct initial crystalline geometries are selected as representative…

软凝聚态物质 · 物理学 2022-08-31 Antoine Montiel , Thuy Nguyen , Cindy Rountree , Valérie Geertsen , Patrick Guenoun , Daniel Bonamy

We revisit a model of semiflexible Gaussian chains proposed by Winkler \textit{et al}, solve the dynamics of the discrete description of the model and derive exact algebraic expressions for some of the most relevant dynamical observables,…

软凝聚态物质 · 物理学 2022-11-02 Andres R. Tejedor , Jaime R. Tejedor , Jorge Ramirez

We analyze equilibrium properties and adsorption desorption phase transition behaviour of a linear semiflexible copolymer chain under constrained geometrical situation on square lattice in a good solvent. One dimensional stair shaped line…

统计力学 · 物理学 2010-06-04 Pramod Kumar Mishra
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