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The rational assembly of monomers, in principle, enables the design of a specific periodicity of polymeric frameworks, leading to a tailored set of electronic structure properties in these solid-state materials. The further development of…

In contrast to three-dimensional (3D) crystals that melt via a first-order transition, two-dimensional (2D) crystals can exhibit various melting scenarios under different temperatures, pressures, and particle interactions, particularly when…

Materials Science · Physics 2024-10-16 Peng Hua , Yilong Han

Directed polymers (strings) and semiflexible polymers (filaments) are one-dimensional objects governed by tension and bending energy, respectively. They undergo unbinding transitions in the presence of a short-range attractive potential.…

Statistical Mechanics · Physics 2010-11-11 Jan Kierfeld , Reinhard Lipowsky

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

In dimensions 3 or larger, it is a classical fact that the directed polymer model has two phases: Brownian behavior at high temperature, and non-Brownian behavior at low temperature. We consider the response of the polymer to an external…

Probability · Mathematics 2025-04-15 Arjun Krishnan , Sevak Mkrtchyan , Scott Neville

We present an extensive experimental study of birefringence and velocity-gradient components for a series of high molecular weight, flexible, entangled polystyrene solutions subjected to transient start-up flows in a co-rotating two-mill to…

Soft Condensed Matter · Physics 2007-05-23 Subrata Sanyal , Dmitry Yavich , L. Gary Leal

Using exact enumeration methods and Monte Carlo simulations we study the phase diagram relative to the conformational transitions of a two dimensional diblock copolymer. The polymer is made of two homogeneous strands of monomers of…

Statistical Mechanics · Physics 2009-10-31 Marco Baiesi , Enrico Carlon , Enzo Orlandini , Attilio L. Stella

We propose a novel characterization method of randomly branched polymers based on the geometrical property of such objects in confined spaces. The central idea is that randomly branched polymers exhibit passing/clogging transition across…

Soft Condensed Matter · Physics 2014-02-03 Takahiro Sakaue , Françoise Brochard-Wyart

The long time dynamics of polymeric materials has been extensively studied in the past through various experimental techniques and computer simulations. While computer simulations typically treat generic, simplified models, experiments deal…

Soft Condensed Matter · Physics 2008-09-10 Vagelis A. Harmandaris , Kurt Kremer

We study a supposed model for branched polymers which was shown in two dimensions to be in the universality class of ordinary percolation. We confirm this by high statistics simulations and show that it is in the percolation universality…

Statistical Mechanics · Physics 2007-05-23 Peter Grassberger

We revisit the classical two-dimensional McKay correspondence in two respects: The first one, which is the main point of this work, is that we take into account of the multiplicative structure given by the orbifold product; second, instead…

Algebraic Geometry · Mathematics 2018-04-10 Lie Fu , Zhiyu Tian

The conformational and dynamical properties of isolated semiflexible active polar ring polymers are investigated analytically. A ring is modeled as continuous Gaussian polymer exposed to tangential active forces. The analytical solution of…

Soft Condensed Matter · Physics 2022-06-22 Christian A. Philipps , Gerhard Gompper , Roland G. Winkler

The non-linear response of entangled polymers to shear flow is complicated. Its current understanding is framed mainly as a rheological description in terms of the complex viscosity. However, the full picture requires an assessment of the…

Computational Physics · Physics 2018-08-21 Airidas Korolkovas , Philipp Gutfreund , Max Wolff

Assuming Gaussian chain statistics along the chain contour, we generate by means of a proper fractal generator hyperbranched polymer trees which are marginally compact. Static and dynamical properties, such as the radial intrachain pair…

Soft Condensed Matter · Physics 2022-02-01 M. Dolgushev , J. P. Wittmer , A. Johner , O. Benzerara , H. Meyer , J. Baschnagel

Unconcatenated, unknotted polymer rings in the melt are subject to strong interactions with neighboring chains due to the presence of topological constraints. We study this by computer simulation using the bond-fluctuation algorithm for…

Statistical Mechanics · Physics 2009-10-31 M. Mueller , J. P. Wittmer , M. E. Cates

We systematically explore the self-assembly of semi-flexible polymers in deformable spherical confinement across a wide regime of chain stiffness, contour lengths and packing fractions by means of coarse-grained molecular dynamics…

Soft Condensed Matter · Physics 2021-07-12 Maxime M. C. Tortora , Daniel Jost

Dried droplets of polymer solutions of different molecular weights and concentrations leave various types of 'coffee-ring' patterns. These patterns are consequence of contact line motion. We have observed for very low molecular weight the…

Soft Condensed Matter · Physics 2014-03-20 Nupur Biswas , Alokmay Datta

Polymer models are a widely used tool to study the prebiotic formation of metabolism at the origins of life. Counts of the number of reactions in these models are often crucial in probabilistic arguments concerning the emergence of…

Molecular Networks · Quantitative Biology 2021-04-14 Oliver Weller-Davies , Mike Steel , Jotun Hein

Single partially confined collapsed polymers are studied in two dimensions. They are described by self-avoiding random walks with nearest-neighbour attractions below the $\Theta$-point, on the surface of an infinitely long cylinder. For the…

Statistical Mechanics · Physics 2009-11-07 Hsiao-Ping Hsu , Peter Grassberger

We investigate morphologies of semiflexible polymer rings, such as circular DNA, which are adsorbed onto topographically or chemically structured substrate surfaces. We classify all equilibrium morphologies for two striped surface…

Soft Condensed Matter · Physics 2014-05-27 Petra Gutjahr , Reinhard Lipowsky , Jan Kierfeld