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Related papers: Polymers Confined between Two Parallel Plane Walls

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We propose new polymer models for Monte Carlo simulation and apply them to a polymer chain confined in a relatively thin box which has both curved and flat sides, and show that either an ideal or an excluded-volume chain spends more time in…

Soft Condensed Matter · Physics 2007-05-23 Y. Y. Suzuki , T. Dotera , M. Hirabayashi

We study flexible polymer macromolecules in a crowded (porous) environment, modelling them as self-attracting self-avoiding walks (SASAW) on site-diluted percolative lattices in space dimensions d=2, 3. The influence of stretching force on…

Soft Condensed Matter · Physics 2009-12-09 V. Blavatska , W. Janke

A technique is presented which maps the parameters of a bead spring model, using the Flory Huggins theory, to a specific experimental system. By keeping only necessary details, for the description of these systems, the mapping procedure…

Soft Condensed Matter · Physics 2016-04-19 George J. Papakonstantopoulos , Kostas Ch. Daoulas , Marcus Muller , Juan J. de Pablo

We examine the phase transition of polymer adsorption as well as the underlying kinetics of polymer binding from dilute solutions on a structureless solid surface. The emphasis is put on the properties of regular multiblock copolymers,…

Soft Condensed Matter · Physics 2009-09-03 A. Milchev , V. Rostiashvili , S. Bhattacharya , T. Vilgis

The scaling limit of the two-dimensional self-avoiding walk (SAW) is believed to be given by the Schramm-Loewner evolution (SLE) with the parameter kappa equal to 8/3. The scaling limit of the SAW has a natural parameterization and SLE has…

Probability · Mathematics 2007-05-23 Tom Kennedy

We revisit the classical problem of a polymer confined in a slit in both of its static and dynamic aspects. We confirm a number of well known scaling predictions and analyse their range of validity by means of comprehensive Molecular…

We present data of Monte Carlo simulations for monodisperse linear polymer chains in dense melts with degrees of polymerization between N=16 and N=512. The aim of this study is to investigate the crossover from Rouse-like dynamics for short…

Soft Condensed Matter · Physics 2009-10-31 T. Kreer , J. Baschnagel , M. Mueller , K. Binder

This paper reviews recent Monte Carlo simulation studies of the glassy behavior in thin polymer films. The simulations employ a version of the bond-fluctuation lattice model, in which the glass transition is driven by the competition…

Soft Condensed Matter · Physics 2007-05-23 C. Mischler , J. Baschnagel , K. Binder

We investigate by means of a number of different dynamical Monte Carlo simulation methods the self-assembly of equilibrium polymers in dilute, semidilute and concentrated solutions under good-solvent conditions. In our simulations, both…

Statistical Mechanics · Physics 2009-10-31 J. P. Wittmer , P. van der Schoot , A. Milchev , J. -L. Barrat

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

A phase diagram for a surface interacting long flexible partially directed polymer chain in a two-dimensional poor solvent where the possibility of collapse in the bulk exists is determined using exact enumeration method. We used a model of…

Statistical Mechanics · Physics 2020-12-29 Pramod K Mishra , Yashwant Singh

We present here the systematic development of quantitative lattice simulations of dense polymers through a novel computational technique that allows for an efficient accounting of the chain conformations. Our approach is based on the…

Soft Condensed Matter · Physics 2008-05-06 Jaydeep A. Kulkarni , Joydeep Mukherjee , Ryan C. Snyder , Timothy W. King , Antony N. Beris

A polymer chain tethered to a surface may be compact or extended, adsorbed or desorbed, depending on interactions with the surface and the surrounding solvent. This leads to a rich phase diagram with a variety of transitions. To investigate…

Soft Condensed Matter · Physics 2009-11-13 Jutta Luettmer-Strathmann , Federica Rampf , Wolfgang Paul , Kurt Binder

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

In this paper we present a new and flexible method to show that, in one dimension, various self-repellent random walks converge to self-repellent Brownian motion in the limit of weak interaction after appropriate space-time scaling. Our…

Probability · Mathematics 2007-05-23 R. van der Hofstad , F. den Hollander , W. Koenig

We develop and implement a parallel flatPERM algorithm \cite{G97,PK04} with mutually interacting parallel flatPERM sequences and use it to sample self-avoiding walks in 2 and 3 dimensions. Our data show that the parallel implementation…

Statistical Mechanics · Physics 2020-08-26 S Campbell , EJ Janse van Rensburg

Collective behavior of self-propelled particles is observed on a microscale for swimmers such as sperm and bacteria as well as for protein filaments in motility assays. The properties of such systems depend both on their dimensionality and…

Soft Condensed Matter · Physics 2014-01-07 Masoud Abkenar , Kristian Marx , Thorsten Auth , Gerhard Gompper

Polymer chains undergoing a continuous adsorption-desorption transition are studied through extensive computer simulations. A three-dimensional self-avoiding walk lattice model of a polymer chain grafted onto a surface has been treated for…

Statistical Mechanics · Physics 2018-05-30 P. H. L. Martins , J. A. Plascak , M. Bachmann

Hard-sphere fluids confined between parallel plates a distance $D$ apart are studied for a wide range of packing fractions, including also the onset of crystallization, applying Monte Carlo simulation techniques and density functional…

Statistical Mechanics · Physics 2011-10-10 Debabrata Deb , Alexander Winkler , Mohammad Hossein Yamani , Martin Oettel , Peter Virnau , Kurt Binder

As an extension of the former study on 2-dimensional systems, we simulate phase behavior of polymer-grafted colloidal particles in 3 dimensions by molecular Monte Carlo technique in the canonical ensemble. We use a spherically symmetric…

Soft Condensed Matter · Physics 2014-04-02 Yuki Norizoe , Toshihiro Kawakatsu