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Related papers: Continuum model for polymers with finite thickness

200 papers

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…

Statistical Mechanics · Physics 2011-11-09 Armin Rahmani , Claudio Castelnovo , Jeremy Schmit , Claudio Chamon

By using the blob theory and computer simulations, we investigate the properties of a linear polymer performing a stationary rotational motion around a long impenetrable rod. In particular, in the simulations the rotation is induced by a…

We extend classical Flory-Rehner theory for the expansion and compression of porous materials such as cross-linked polymer networks. The theory includes volume exclusion, affinity with the solvent, and finite stretching of the polymer…

Chemical Physics · Physics 2023-09-28 P. M. Biesheuvel , H. Fan , M. Elimelech

We compare the Rubinstein-Duke model for reptation to a model where the boundary dynamics is modified by calculating the viscosity of polymer melts. The question is investigated whether the viscosity is determined by details of the dynamics…

Soft Condensed Matter · Physics 2009-11-10 Matthias Paessens

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

Using molecular dynamics simulations we examine the dynamics of a family of model polymers with varying chain length and torsional potential barriers. We focus on features of the dynamics of polymers that are seen experimentally but absent…

Soft Condensed Matter · Physics 2019-06-11 Daniel Fragiadakis , C. Michael Roland

We reassess the relation between classical lattice dimer models and the continuum elastic description of a lattice of fluctuating polymers. In the absence of randomness we determine the density and line tension of the polymers in terms of…

Statistical Mechanics · Physics 2015-06-25 Ying Jiang , Thorsten Emig

Long linear polymers in a depinned interfaces environment have been studied for a long time, for instance in \cite{Caravenna2009depinning} when the temperature is constant. In this paper, we study an extension of this model by making the…

Probability · Mathematics 2024-10-10 Angot Elric

The statistics of polymers advected by a turbulent flow are investigated. To limit the polymer lengths above to coil-stretch transition, a FENE-P type relaxation law is used. The turbulence is modeled by a random strain, delta-correlated in…

Chaotic Dynamics · Physics 2009-11-07 Jean-Luc Thiffeault

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

The persistence length of semiflexible polymers and one-dimensional fluid membranes is obtained from the renormalization of their bending rigidity. The renormalized bending rigidity is calculated using an exact real-space functional…

Statistical Mechanics · Physics 2012-05-02 Petra Gutjahr , Reinhard Lipowsky , Jan Kierfeld

A copolymer is a chain of repetitive units (monomers) that are almost identical, but they differ in their degree of affinity for certain solvents. This difference leads to striking phenomena when the polymer fluctuates in a nonhomogeneous…

Probability · Mathematics 2010-11-11 Francesco Caravenna , Giambattista Giacomin

Mutual uncrossability of polymers generates topological constraints on their conformations and dynamics, which are generally described using the tube model. We imaged confinement tubes for individual polymers within a F-actin solution by…

Soft Condensed Matter · Physics 2009-08-20 M. Romanowska , H. Hinsch , N. Kirchgessner , M. Giesen , M. Degawa , B. Hoffmann , E. Frey , R. Merkel

We present an analytical and computational study characterizing the structural and dynamical properties of an active filament confined in cylindrical channels. We first outline the effects of the interplay between confinement and polar…

Soft Condensed Matter · Physics 2024-10-09 José Martín-Roca , Emanuele Locatelli , Valentino Bianco , Paolo Malgaretti , Chantal Valeriani

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…

Soft Condensed Matter · Physics 2016-05-25 Sergei A. Egorov , Andrey Milchev , Peter Virnau , Kurt Binder

Polymers are an effective test-bed for studying topological constraints in condensed matter due to a wide array of synthetically-available chain topologies. When linear and ring polymers are blended together, emergent rheological properties…

Soft Condensed Matter · Physics 2024-04-25 Daniel L. Vigil , Ting Ge , Michael Rubinstein , Thomas C. O'Connor , Gary S. Grest

The interplay of topological constraints and persistence length of ring polymers in their own melt is investigated by means of dynamical Monte Carlo simulations of a three dimensional lattice model. We ask if the results are consistent with…

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

We report simulation results on melts of entangled linear polymers confined in a free-standing thin film. We study how the geometric constraints imposed by the confinement alter the entanglement state of the system compared to the…

Soft Condensed Matter · Physics 2019-03-06 Nicolás A. García , Jean-Louis Barrat

Polymer entanglements lead to complicated topological constraints and interactions between neighbouring chains in a dense solution or melt. Entanglements can be treated in a mean field approach, within the famous reptation model, since they…

Soft Condensed Matter · Physics 2007-05-23 S. Kutter , E. M. Terentjev

The reptation concept in polymer dynamics is studied for model chains with added stiffness. The main idea of a chain diffusing inside a tube can be transferred from fully flexible chains. However, the picture, which renormalizes the chain…

Soft Condensed Matter · Physics 2007-05-23 Roland Faller , Florian Mueller-Plathe