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In frameworks of the scaling theory of phase transitions and critical phenomena the quantitative dependence of macroscopic properties on nanostructural parameters in a polymeric material is revealed. The draw ratios at neck and at break are…

Soft Condensed Matter · Physics 2012-10-30 Andrei N. Yakunin

Taking into account the well known correspondence between the field theoretical O(n)-vector model in the limit $n\to 0$ and the behavior of long-flexible polymer chains in a good solvent the investigation of ideal polymer chains adsorption…

Soft Condensed Matter · Physics 2012-09-25 Zoryana Usatenko

Generalized-ensemble simulations enable the study of complex adsorption scenarios of a coarse-grained model polymer near an attractive nanostring, representing an ultrathin nanowire. We perform canonical and microcanonical statistical…

Soft Condensed Matter · Physics 2015-10-05 Thomas Vogel , Jonathan Gross , Michael Bachmann

Adsorption of polymers to surfaces is crucial for understanding many fundamental processes in nature. Recent experimental studies indicate that the adsorption dynamics is dominated by non-equilibrium effects. We investigate the adsorption…

Soft Condensed Matter · Physics 2009-05-12 Debabrata Panja , Gerard T. Barkema , Anatoly B. Kolomeisky

Recently, it has been proposed that the adsorption transition for a single polymer in dilute solution, modeled by lattice walks in three dimensions, is not universal with respect to inter-monomer interactions. It has also been conjectured…

Statistical Mechanics · Physics 2018-02-21 C. J. Bradly , A. L. Owczarek , T. Prellberg

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

A linear polymer grafted to a hard wall and underneath an AFM tip can be modelled in a lattice as a grafted lattice polymer (or self-avoiding walk) compressed underneath a piston approaching the wall. As the piston approaches the wall the…

Soft Condensed Matter · Physics 2023-08-16 EJ Janse van Rensburg

Understanding polymer adsorption at interfaces is essential for designing advanced polymer-based nanomaterials with tailored interfacial properties. Although adsorption significantly influences the macroscopic properties of polymer…

Soft Condensed Matter · Physics 2025-09-15 Tae Yeon Kong , WooJin Kim , YongJoo Kim , So Youn Kim

We analyze the structural behavior of a single polymer chain grafted to an attractive, flexible surface. Our model is composed of a coarse-grained bead-and-spring polymer and a tethered membrane. By means of extensive parallel tempering…

Soft Condensed Matter · Physics 2011-09-26 Steffen Karalus , Wolfhard Janke , Michael Bachmann

In this paper, we analyze the effect of geometrical constraint on the conformational properties of an infinitely long linear semiflexible polymer chain confined in-between two constraints under good solvent condition in two dimensions. The…

Soft Condensed Matter · Physics 2020-12-29 Pramod Kumar Mishra

The structural properties of a linear polymer and its evolution in time have a strong bearing on its anisotropic stress response. The mean-square bond length and mean bond angle are the critical parameters that influence the time-varying…

Soft Condensed Matter · Physics 2010-12-30 Prashant Kumar Srivastava , Kartik Venkatraman

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 folding transition of single, long semiflexible polymers was studied with special emphasis on the chain length effect using Monte Carlo simulations. While a relatively short chain (10-25 Kuhn segments) undergoes a large discrete…

Soft Condensed Matter · Physics 2008-05-06 Yuji Higuchi , Takahiro Sakaue , Kenichi Yoshikawa

Using analytic theory, numerical calculation and Langevin dynamics simulation we demonstrate the existence of a first order unraveling transition in the stretching of a polymer chain in a poor solvent. The chain suddenly unravels from a…

Soft Condensed Matter · Physics 2009-11-10 I. R. Cooke , D. R. M. Williams

We investigate the kinetics of a polymer collapse due to the formation of irreversible crosslinks between its monomers. Using the contact probability $P(s)$ as a scale-dependent order parameter depending on the chemical distance $s$, our…

Soft Condensed Matter · Physics 2018-08-15 Vittore F. Scolari , Guillaume Mercy , Romain Koszul , Annick Lesne , Julien Mozziconacci

We study the adsorption-desorption phase transition of directed branched polymer in $d+1$ dimensions in contact with a line by mapping it to a $d$ dimensional hard core lattice gas at negative activity. We solve the model exactly in 1+1…

Statistical Mechanics · Physics 2009-11-10 Sumedha

Linear polymers adsorbing on a wall can be modelled by half-space self-avoiding walks adsorbing on a line in the square lattice, or on a surface in the cubic lattice. In this paper a numerical approach based on the GAS algorithm is used to…

Statistical Mechanics · Physics 2016-04-20 Esaias J. Janse van Rensburg

The adsorption of an ideal heteropolymer loop at a potential point well is investigated within the frameworks of a standard random matrix theory. On the basis of semi-analytical/semi-numerical approach the histogram of transition points for…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Naidenov , S. Nechaev

Disordered athermal biopolymer materials, such as collagen networks that constitute a major component in extracellular matrices and various connective tissues, are initially soft and compliant but stiffen dramatically under strain. Such…

Soft Condensed Matter · Physics 2025-09-19 Zibin Zhang , Eran Bouchbinder , Edan Lerner

We study the adsorption of semiflexible polymers such as polyelectrolytes or DNA on planar and curved substrates, e.g., spheres or washboard substrates via short-range potentials using extensive Monte-Carlo simulations, scaling arguments,…

Soft Condensed Matter · Physics 2015-08-19 Tobias A. Kampmann , Horst-Holger Boltz , Jan Kierfeld
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