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We write exact equations for the thermodynamic properties of a linear polymer molecule confined to walk on a lattice of finite size. The dimension of the space in which the lattice resides can be arbitrary. We also calculate polymer…

General Physics · Physics 2011-10-04 Esdmund A. Di Marzio , Charles M. Guttman

Nanoscale and microscale confinement of biopolymers naturally occurs in cells and has been recently achieved in artificial structures designed for nanotechnological applications. Here, we present an extensive theoretical investigation of…

Soft Condensed Matter · Physics 2007-06-13 Frederik Wagner , Gianluca Lattanzi , Erwin Frey

Confinement is a versatile and well-established tool to study the properties of polymers either to understand biological processes or to develop new nano-biomaterials. We investigate the conformations of a semiflexible polymer ring in weak…

Soft Condensed Matter · Physics 2010-06-25 Katja Ostermeir , Karen Alim , Erwin Frey

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

A lattice model is used to estimate the self-diffusivity of entangled cyclic and linear polymers in blends of varying compositions. To interpret simulation results, we suggest a minimal model based on the physical idea that constraints…

Soft Condensed Matter · Physics 2022-03-21 Sachin Shanbhag

Chain molecules play important roles in industry and in living cells. Our focus here is on distinct ways of modeling the stiffness inherent in a chain molecule. We consider three types of stiffnesses -- one yielding an energy penalty for…

Soft Condensed Matter · Physics 2019-11-12 Tatjana Skrbic , Jayanth R. Banavar , Achille Giacometti

We employ mesoscopic simulations to study active polymers in a solvent via multi-particle collision dynamics. We investigate linear chains in which either the head or tail monomer exerts an active force, directed away from or towards its…

Soft Condensed Matter · Physics 2025-08-27 Lisa Sappl , Christos N. Likos , Andreas Zöttl

Reptation theory has been highly successful in explaining the unusual material properties of entangled polymer solutions. It reduces the complex many-body dynamics to a single-polymer description where each polymer is envisaged to be…

Soft Condensed Matter · Physics 2018-02-13 Philipp Lang , Erwin Frey

We investigate the influence of varying confinement on the dynamics of polymer translocation through a cone shaped channel. For this, a linear polymer chain is modeled by a self voiding walks (SAWs) on a square lattice. The cis-side of a…

Soft Condensed Matter · Physics 2024-01-10 Manish Dwivedi , Sumitra Rudra , Sanjay Kumar

The spatial correlations of entangled polymer dynamics are examined by molecular dynamics simulations and neutron spin-echo spectroscopy. Due to the soft nature of topological constraints, the initial spatial decays of intermediate…

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

Recent developments of microscopic mechanical experiments allow the manipulation of individual polymer molecules in two main ways: \textit{uniform} stretching by external forces and \textit{non-uniform} stretching by external fields. Many…

Biological Physics · Physics 2015-06-11 Fabio Manca , Stefano Giordano , Pier Luca Palla , Fabrizio Cleri , Luciano Colombo

In this work, we compare the structural and dynamic behavior of active filaments in two dimensions using tangential and push-pull models, including a variant with passive end monomers. These models serve as valuable frameworks for…

Single three dimensional polymers confined to a slab, i.e. to the region between two parallel plane walls, are studied by Monte Carlo simulations. They are described by $N$-step walks on a simple cubic lattice confined to the region $1 \le…

Soft Condensed Matter · Physics 2009-11-10 Hsiao-Ping Hsu , Peter Grassberger

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

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…

Soft Condensed Matter · Physics 2024-11-26 Lijie Ding , Chi-Huan Tung , Bobby G. Sumpter , Wei-Ren Chen , Changwoo Do

We study dynamics of a Rouse polymer chain, which diffuses in a three-dimensional space under the constraint that one of its ends, referred to as the slip-link, may move only along a one-dimensional line containing randomly placed,…

Statistical Mechanics · Physics 2007-05-23 S. Nechaev , G. Oshanin , A. Blumen

In this paper we establish a new efficient method for simulating polymer-solvent systems which combines a lattice Boltzmann approach for the fluid with a continuum molecular dynamics (MD) model for the polymer chain. The two parts are…

Soft Condensed Matter · Physics 2009-10-31 Patrick Ahlrichs , Burkhard Duenweg

Single-chain elasticity is of fundamental importance in polymer physics, as it underlies many of the unique properties of polymer systems. Recently, there has been interest in characterizing the elastic properties of catenanes, molecular…

Soft Condensed Matter · Physics 2025-12-23 James M. Polson , Liam MacNevin , Alaaddin Elobeid , Carlos E. Padilla Robles

The constraints imposed by nano- and microscale confinement on the conformational degrees of freedom of thermally fluctuating biopolymers are utilized in contemporary nano-devices to specifically elongate and manipulate single chains. A…

Soft Condensed Matter · Physics 2010-09-14 F. Thüroff , F. Wagner , E. Frey
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