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The step-growth polymerisation of a mixture of arbitrary-functional monomers is viewed as a time-continuos random graph process with degree bounds that are not necessarily the same for different vertices. The sequence of degree bounds acts…

Combinatorics · Mathematics 2019-08-21 Ivan Kryven

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

We present a unified scaling theory for the dynamics of monomers for dilute solutions of semiflexible polymers under good solvent conditions in the free draining limit. Our theory encompasses the well-known regimes of mean square…

Soft Condensed Matter · Physics 2015-06-17 Aiqun Huang , Ramesh Adhikari , Aniket Bhattacharya , Kurt Binder

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

The folding vs. adsorption behaviour of a coarse-grained off-lattice protein model near an attractive surface is presented within the frame of a Multicanonical Monte Carlo simulations. In the polymer-surface model, the Lennard-Jones…

Soft Condensed Matter · Physics 2015-12-23 Handan Arkin , Hakan Alaboz

Forced desorption of a semiflexible polymer chain on a solid substrate is theoretically investigated. The pulling force versus displacement is studied for different adsorption energy and persistence length P. It is found that the…

Statistical Mechanics · Physics 2015-06-19 Pui-Man Lam , Yi Zhen

Due to the complex characteristics of bottle-brush polymers, it became a challenge to develop an efficient algorithm for studying such macromolecules under various solvent conditions or some constraints in the space by using computer…

Soft Condensed Matter · Physics 2011-07-08 Hsiao-Ping Hsu

The method of choice for integrating the time-dependent Fokker-Planck equation in high-dimension is to generate samples from the solution via integration of the associated stochastic differential equation. Here, we study an alternative…

Machine Learning · Computer Science 2023-02-17 Nicholas M. Boffi , Eric Vanden-Eijnden

Low-energy structures of a hybrid system consisting of a polymer and an attractive nanowire substrate as well as the thermodynamics of the adsorption transition are studied by means of Monte Carlo computer simulations. Depending on…

Soft Condensed Matter · Physics 2011-07-05 Thomas Vogel , Michael Bachmann

We study the conformational behavior of a polymer adsorbed at an attractive nanostring and construct the complete structural phase diagram in dependence of the binding strength and effective thickness of the string. For this purpose, Monte…

Soft Condensed Matter · Physics 2011-03-11 Thomas Vogel , Michael Bachmann

In the present paper we overview our recent results on intrinsic frictional properties of adsorbed monolayers, composed of mobile hard-core particles undergoing continuous exchanges with a vapor phase. Within the framework of a dynamical…

Soft Condensed Matter · Physics 2009-11-07 O. Benichou , A. M. Cazabat , J. De Coninck , M. Moreau , G. Oshanin

Polymer adsorption is a fundamental problem in statistical mechanics that has direct relevance to diverse disciplines ranging from biological lubrication to stability of colloidal suspensions. We combine experiments with computer…

Soft Condensed Matter · Physics 2015-08-07 D. Welch , M. P. Lettinga , M. Ripoll , Z. Dogic , G. A. Vliegenthart

We theoretically investigate the kinetics of the folding transition of a single semiflexible polymer. In the folding transition, the growth rate decrease with an increase in the number of monomers in a collapsed domain, suggesting that the…

Soft Condensed Matter · Physics 2009-11-13 Natsuhiko Yoshinaga

We consider single particle and polymer translocation where the frictional properties experienced from the environment are changing in time. This work is motivated by the interesting frequency responsive behaviour observed when a polymer is…

Soft Condensed Matter · Physics 2012-12-06 Jack A. Cohen , Abhishek Chaudhuri , Ramin Golestanian

We investigate the adsorption of a flexible polymer at a hexagonally patterned monolayer. All conformational polymer phases are identified, which enables the construction of a hyperphase diagram, parameterized by temperature and monolayer…

Soft Condensed Matter · Physics 2019-12-03 Benjamin Liewehr , Michael Bachmann

We construct the complete structural phase diagram of polymer adsorption at substrates with attractive stripe-like patterns in the parameter space spanned by the adsorption affinity of the stripes and temperature. Results were obtained by…

Statistical Mechanics · Physics 2014-04-14 Monika Möddel , Wolfhard Janke , Michael Bachmann

The Fokker-Planck (FP) equation has been derived for describing the temporal evolution of the particle size probability density function (PDF) for KJMA (Kolmogorov-Johnson-Mehl-Avrami) transformations. The classical case of transformations…

Materials Science · Physics 2023-03-22 M. Tomellini

The process of adsorption on a planar repulsive, "marginal" and attractive wall of long-flexible polymer chains with excluded volume interactions is investigated. The performed scaling analysis is based on formal analogy between the polymer…

Soft Condensed Matter · Physics 2009-10-08 Z. Usatenko

The adsorption of a bottle-brush polymer end-grafted with one chain end of its backbone to a flat substrate surface is studied by Monte Carlo simulation of a coarse-grained model, that previously has been characterized in the bulk, assuming…

Soft Condensed Matter · Physics 2010-10-13 Hsiao-Ping Hsu , Wolfgang Paul , Kurt Binder

Polymer-coated pores play a crucial role in nucleo-cytoplasmic transport and in a number of biomimetic and nanotechnological applications. Here we present Monte Carlo and Density Functional Theory approaches to identify different collective…

Soft Condensed Matter · Physics 2015-05-30 Dino Osmanovic , Joe Bailey , Anthony H. Harker , Ariberto Fassati , Bart W. Hoogenboom , Ian J. Ford