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We consider random walk model of a semi-flexible polymer chain on a square and a cubic lattice to enumerate conformations of the polymer chain in two and three dimensions, respectively. The bending energy of the chain is assumed as the key…

Soft Condensed Matter · Physics 2020-08-04 Pramod Kumar Mishra

We perform two-dimensional Langevin dynamics simulations of electric-field driven polymer translocation through an attractive nanopore. We investigate the effect of the location of the attractive region using different pore patterns. This…

Soft Condensed Matter · Physics 2015-06-15 F Piguet , D P Foster

We consider the dynamics of polymer translocation out of confined environments. Analytic scaling arguments lead to the prediction that the translocation time scales like $\tau\sim N^{\beta+\nu_{2D}}R^{1+(1-\nu_{2D})/\nu}$ for translocation…

Soft Condensed Matter · Physics 2009-08-11 Kaifu Luo , Ralf Metzler , Tapio Ala-Nissila , See-Chen Ying

We develop a segment-scale, force-based theory for the breakdown of the unentangled Rouse model and subsequent emergence of isotropic mesoscopic localization and entropic elasticity in chain polymer liquids in the absence of…

Soft Condensed Matter · Physics 2017-04-26 Zachary E. Dell , Kenneth S. Schweizer

A microscopic theory for cation diffusion in polymer electrolytes is presented. Based on a thorough analysis of molecular dynamics simulations on PEO with LiBF$_4$ the mechanisms of cation dynamics are characterised. Cation jumps between…

Soft Condensed Matter · Physics 2009-11-13 A. Maitra , A. Heuer

In a very long Gaussian polymer on time scales shorter that the maximal relaxation time, the mean squared distance travelled by a tagged monomer grows as ~t^{1/2}. We analyze such sub-diffusive behavior in the presence of one or two…

Statistical Mechanics · Physics 2011-11-10 Yacov Kantor , Mehran Kardar

Stress relaxation following deformation of an entangled polymeric liquid is thought to be affected by transient reforming of chain entanglements. In this work, we use single molecule techniques to study the relaxation of individual polymers…

Soft Condensed Matter · Physics 2018-07-04 Yuecheng Zhou , Charles M. Schroeder

Translocation through a nanopore is a new experimental technique to probe physical properties of biomolecules. A bulk of theoretical and computational work exists on the dependence of the time to translocate a single unstructured molecule…

Biomolecules · Quantitative Biology 2009-05-04 Malcolm McCauley , Robert Forties , Ulrich Gerland , Ralf Bundschuh

We study random copolymers consisted of two kinds of monomers with attraction between similar kinds. The mean field analysis of this system indicates a continuous phase transition into a phase with periodic microdomain structure. It is…

Condensed Matter · Physics 2009-10-22 A. M. Gutin , C. D. Sfatos , E. I. Shakhnovich

We report evidence of irregular unsteady flow of two-dimensional polymer solutions in the absence of inertia in cross-slot geometry using numerical simulations of Oldroyd-B model. By exploring the transition to time-dependent flow versus…

Soft Condensed Matter · Physics 2021-02-10 Dário Oliveira Canossi , Gilmar Mompean , Stefano Berti

The properties of semiflexible polymers tethered by one end to an impenetrable wall and exposed to oscillatory shear flow are investigated by mesoscale simulations. A polymer, confined in two dimensions, is described by a linear bead-spring…

Soft Condensed Matter · Physics 2021-12-14 Antonio Lamura , Roland G. Winkler , Gerhard Gompper

The problem of a spatially correlated noise affecting a complex system is studied in this paper. We present a comprehensive analysis of a 2D model polymer chain, driven by the spatially correlated Gaussian noise, for which we have varied…

Statistical Mechanics · Physics 2013-05-30 M. Majka , P. F. Góra

Recent theoretical modeling offers a unified picture for the description of stochastic processes characterized by a crossover from anomalous to normal behavior. This is particularly welcome, as a growing number of experiments suggest the…

Statistical Mechanics · Physics 2019-07-16 Fulvio Baldovin , Enzo Orlandini , Flavio Seno

The translocation of a polymer through a pore in a membrane separating fluids of different viscosities is studied via several computational approaches. Starting with the polymer halfway, we find that as a viscosity difference across the…

Soft Condensed Matter · Physics 2013-04-17 Hendrick W. de Haan , Gary W. Slater

We determine the scaling exponents of polymer translocation (PT) through a nanopore by extensive computer simulations of various microscopic models for chain lengths extending up to N=800 in some cases. We focus on the scaling of the…

Dynamics of a discrete polymer in time-dependent external potentials is studied with the master equation approach. We consider both stochastic and deterministic switching mechanisms for the potential states and give the essential equations…

Statistical Mechanics · Physics 2008-06-25 Janne Kauttonen , Juha Merikoski , Otto Pulkkinen

We study the dynamics of a Brownian particle in Morse potential under thermal fluctuations, modeled by Gaussian white noise whose amplitude depends on absolute temperature. Dynamics of such a particle is investigated by numerically…

Statistical Mechanics · Physics 2021-04-12 P Vipin , R Sankaranarayanan

We study the stochastic resonance (SR) of a flexible polymer chain crossing over a piecewise linear bistable potential. The dependence of signal to noise ratio $SNR$ on noise intensity $D$, coupling constant $k$ and polymer length $N$ is…

Statistical Mechanics · Physics 2015-05-19 Mesfin Asfaw

Using results from Schramm Loewner evolution (SLE), we give the expression of the fluctuation-induced force exerted by a polymer on a small impenetrable disk, in various 2-dimensional domain geometries. We generalize to two polymers and…

Statistical Mechanics · Physics 2015-05-13 Pierre Le Doussal , Kay Jörg Wiese

Quasielastic neutron scattering and molecular dynamics simulation data from PEO/PMMA blends found that for short times the self-dynamics of PEO chain follows the Rouse model, but at longer times past tc=1 to 2 ns it becomes slower and…

Soft Condensed Matter · Physics 2011-09-21 K. L. Ngai , Limin Wang
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