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The dynamical response of a tethered semiflexible polymer with self-attractive interactions and subjected to an external force field is numerically investigated by varying stiffness and self-interaction strength. The chain is confined in…

Soft Condensed Matter · Physics 2022-11-09 A. Lamura

Molecular dynamics simulation of a generic polymer model is applied to study melts of polymers with different types of intrinsic stiffness. Important static observables of the single chain such as gyration radius or persistence length are…

Soft Condensed Matter · Physics 2017-09-13 Roland Faller , Alexander Kolb , Florian Müller-Plathe

The stretching response of polymer chains fundamentally determines the mechanical properties of polymer networks. In this Letter, we develop a statistical mechanics model that incorporates both bond stretching and bond angle deformation,…

Soft Condensed Matter · Physics 2025-06-02 Jie Zhu , Laurence Brassart

The slip phenomena in thin polymer films confined by either flat or periodically corrugated surfaces are investigated by molecular dynamics and continuum simulations. For atomically flat surfaces and weak wall-fluid interactions, the shear…

Soft Condensed Matter · Physics 2008-10-15 Anoosheh Niavarani , Nikolai V. Priezjev

Collective coherent scattering of laser light by an ensemble of polarizable point particles creates long range interactions, whose properties can be tailored by choice of injected laser powers, frequencies and polarizations. We use a…

Quantum Physics · Physics 2015-06-17 Stefan Ostermann , Matthias Sonnleitner , Helmut Ritsch

Two-dimensional scattering by homogeneous and layered dielectric elliptical cylinders is analyzed following an analytical approach using Mathieu functions. Closed-form relations for the expansion coefficients of the resulting electric field…

Computational Physics · Physics 2008-08-18 E. Cojocaru

In this paper we present simulations of a surface-adsorbed polymer subject to an elongation force. The polymer is modelled by a self-avoiding walk on a regular lattice. It is confined to a half-space by an adsorbing surface with attractions…

Statistical Mechanics · Physics 2007-05-23 J. Krawczyk , T. Prellberg , A. Rechnitzer , A. L. Owczarek

We calculate the scattering intensity of dilute and semi-dilute solutions of star polymers. The star conformation is described by a model introduced by Daoud and Cotton. In this model, a single star is regarded as a spherical region of a…

Soft Condensed Matter · Physics 2009-10-30 C. M. Marques , T. Charitat , D. Izzo , E. Mendes

We propose a simple formula for multichannel resonant scattering with parameters related to physical resonant properties. It can be used to predict residue phase from other resonant parameters and describe the shape of scattering amplitudes…

High Energy Physics - Phenomenology · Physics 2017-02-03 Saša Ceci , Marin Vukšić , Branimir Zauner

We study the quantum scattering in two spatial dimensions (2D). Our computational scheme allows to quantitatively analyze the scattering parameters for the strong anisotropy of the interaction potential. High efficiency of the method is…

Quantum Physics · Physics 2015-06-19 Eugene A. Koval , Oksana A. Koval , Vladimir S. Melezhik

We have generalized the Edwards' method of collective description of dense polymer systems in terms of effective potentials to polymer blends in the presence of a surface. With this method we have studied conformationally asymmetric…

Soft Condensed Matter · Physics 2009-11-11 Semjon Stepanow , Andrei A. Fedorenko

The subject of this work is the adsorption transition of a long flexible self-avoiding polymer chain onto a rigid thin rod. The rod is represented by a cylinder of radius R with a short-ranged attractive surface potential for the chain…

Statistical Mechanics · Physics 2009-11-11 Andreas Hanke

An analytic expression is derived for the distribution $G(\vec{R})$ of the end-to-end distance $\vec{R}$ of semiflexible polymers in external potentials to elucidate the effect of confinement on the mechanical and statistical properties of…

Soft Condensed Matter · Physics 2015-06-25 Patrick Levi , Klaus Mecke

The statistical mechanics of a non-interacting polymer chain in the limit of a large number of monomers is considered when the total angular momentum, L, is fixed. The radius of gyration for a ring polymer in this situation is derived…

Statistical Mechanics · Physics 2009-11-13 J. M. Deutsch

We derive a pseudopotential in two dimensions (2D) with the presence of a 2D Rashba spin-orbit-coupling (SOC), following the same spirit of frame transformation in {[}Phys. Rev. A 95, 020702(R) (2017){]}. The frame transformation correctly…

Quantum Gases · Physics 2022-02-14 Christiaan R. Hougaard , Brendan C. Mulkerin , Xia-Ji Liu , Hui Hu , Jia Wang

We develop a strong stretching approximation for a polymer brush made of self-avoiding polymer chains. The density profile of the brush and the distribution of the end monomer positions in stretching direction are computed and compared with…

Soft Condensed Matter · Physics 2021-05-26 Dirk Romeis , Michael Lang

We propose a method to calculate scattering amplitudes using the Bethe-Salpeter wave function inside the interaction range on the lattice. For an exploratory study of this method, we evaluate a scattering length of $I=2$ S-wave two pions by…

High Energy Physics - Lattice · Physics 2018-08-09 Yusuke Namekawa , Takeshi Yamazaki

We study the dynamics of a knot in a semiflexible polymer confined to a narrow channel of width comparable to the polymers' persistence length. Using a combination of Brownian dynamics simulations and a coarse-grained stochastic model, we…

Soft Condensed Matter · Physics 2008-08-14 Wolfram Mobius , Erwin Frey , Ulrich Gerland

Low-energy scattering is well described by the effective-range expansion. In quantum mechanics, a tower of contact interactions can generate terms in this expansion after renormalization. Scattering parameters are also encoded in the…

Quantum Physics · Physics 2024-03-25 Daniel R. DeSena , Brian C. Tiburzi

Motivated by applications to acoustic imaging, the present work establishes a framework to analyze scattering for the one-dimensional wave, Helmholtz, Schr\"odinger and Riccati equations that allows for coefficients which are more singular…

Analysis of PDEs · Mathematics 2022-02-28 Peter C. Gibson