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We demonstrate that nascent polymer crystals (i.e., nuclei) are anisotropic entities, with neither spherical nor cylindrical geometry, in contrast to previous assumptions. In fact, cylindrical, spherical, and other high symmetry geometries…

Soft Condensed Matter · Physics 2020-01-08 Kyle Wm. Hall , Timothy W. Sirk , Simona Percec , Michael L. Klein , Wataru Shinoda

In this paper, we investigate a stochastic model describing the time evolution of a polymerization process. A polymer is a macro-molecule resulting from the aggregation of several elementary sub-units called monomers. Polymers can grow by…

Probability · Mathematics 2018-08-24 Philippe Robert , Wen Sun

The new method of the mean-field approximation is extended. An approach which enables to estimate some parameters of the transition from the isotropic state of hard sticks to the nematic ordering phase is suggested. An technique of the…

Statistical Mechanics · Physics 2018-02-14 Andrei N. Yakunin

Recently it has been shown that a two-dimensional model of self-attracting polymers based on attracting segments displays two phase transitions, a theta-like collapse between swollen polymers and a globular state and another between the…

Soft Condensed Matter · Physics 2008-07-10 J. Krawczyk , A. L. Owczarek , T. Prellberg

We propose a nonlinear extension of the standard tube model for semidilute solutions of freely-sliding semiflexible polymers. Non-affine filament deformations at the entanglement scale, the renormalisation of direct interactions by thermal…

Soft Condensed Matter · Physics 2008-10-01 Pablo Fernandez , Steffen Grosser , Klaus Kroy

A recent proposal to connect the loop quantization with the spin foam model for cosmology via the path integral is hereby adapted to the case of mechanical systems within the framework of the so called polymer quantum mechanics. The…

General Relativity and Quantum Cosmology · Physics 2017-03-31 Hugo A. Morales-Técotl , Saeed Rastgoo , Juan C. Ruelas

Entangled polymers are deformed by a strong shear flow. The shape of the polymer, called the form factor, is measured by small angle neutron scattering. However, the real-space molecular structure is not directly available from the…

The statistical mechanics of polymer loops entangled in the two-dimensional array of randomly distributed obstacles of infinite length is discussed. The area of the loop projected to the plane perpendicular to the obstacles is used as a…

Condensed Matter · Physics 2009-10-28 Matthias Otto , Thomas A. Vilgis

The morphological paths towards equilibrium droplets during the late stages of the dewetting process of a liquid film from a liquid substrate is investigated experimentally and theoretically. As liquids, short chained polystyrene (PS) and…

Soft Condensed Matter · Physics 2012-12-07 Stefan Bommer , Sebastian Jachalski , Dirk Peschka , Ralf Seemann , Barbara Wagner

We employ a first principles, force-level approach to self-consistently construct the anharmonic tube confinement field for entangled fluids of rigid needles and for primitive-path (PP) level chains in two limiting situations where chain…

Soft Condensed Matter · Physics 2016-12-21 Kenneth S. Schweizer , Daniel M. Sussman

We present a quantitative comparison between extensive Monte Carlo simulations and self-consistent field calculations on the phase diagram and wetting behavior of a symmetric, binary (AB) polymer blend confined into a film. The flat walls…

Statistical Mechanics · Physics 2009-10-31 M. Mueller , K. Binder

We analyze the capillarity-driven thinning dynamics of entangled polymer solutions described by the Doi-Edwards-Marrucci-Grizzuti (DEMG) model and the Rolie-Poly (RP) model. Both models capture polymer reptation, finite rates of chain…

Soft Condensed Matter · Physics 2022-06-15 Jianyi Du , Hiroko Ohtani , Alper Kiziltas , Kevin Ellwood , Gareth H. McKinley

We simulate entangled linear polymers in free-standing thin film geometries where the confining dimension is on the same scale or smaller than the bulk chain dimensions. We compare both film-averaged and layer-resolved, spatially…

Soft Condensed Matter · Physics 2016-08-24 Daniel M. Sussman

We present a kinetic model of crystal growth of polymers of finite molecular weight. Experiments help to classify polymer crystallization broadly into two kinetic regimes. One is observed in melts or in high molar mass polymer solutions and…

Soft Condensed Matter · Physics 2009-11-11 Arindam Kundagrami , M. Muthukumar

We revisit an integrable lattice model of polymer collapse using numerical simulations. This model was first studied by Bl\"ote and Nienhuis in J. Phys. A. {\bf 22}, 1415 (1989) and it describes polymers with some attraction, providing thus…

Statistical Mechanics · Physics 2015-06-12 A. Bedini , A. L. Owczarek , T. Prellberg

Elastic properties and internal states of isotropic sphere packings are studied by numerical simulations. Several numerical protocols to assemble dense configurations are compared. One, which imitates experiments with lubricated contacts,…

Materials Science · Physics 2009-01-16 Ivana Agnolin , Jean-Noël Roux

We present a general theoretical analysis of semiflexible filaments subject to viscous drag or point forcing. These are the relevant forces in dynamic experiments designed to measure biopolymer bending moduli. By analogy with the ``Stokes…

Soft Condensed Matter · Physics 2009-10-30 Chris H. Wiggins , Daniel X. Riveline , Albrecht Ott , Raymond E. Goldstein

The quasistatic behavior of a simple 2D model of a cohesive powder under isotropic loads is investigated by Discrete Element simulations. The loose packing states, as studied in a previous paper, undergo important structural changes under…

Materials Science · Physics 2008-10-27 Francisco Gilabert , Jean-Noël Roux , Antonio Castellanos

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

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