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Voids exist in proteins as packing defects and are often associated with protein functions. We study the statistical geometry of voids in two-dimensional lattice chain polymers. We define voids as topological features and develop a simple…

Biological Physics · Physics 2009-11-07 Jie Liang , Jinfeng Zhang , Rong Chen

Through extensive molecular simulations we determine a phase diagram of attractive, flexible polymer chains in two and three dimensions. A surprisingly rich collection of distinct crystal morphologies appear, which can be finely tuned…

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

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 density crossover scaling of various thermodynamic properties of solutions and melts of self-avoiding and highly flexible polymer chains without chain intersections confined to strictly two dimensions is investigated by means of…

Soft Condensed Matter · Physics 2012-09-03 N. Schulmann , H. Meyer , P. Polińska , J. Baschnagel , J. P. Wittmer

We propose a two-body spherically symmetric (isotropic) potential such that particles interacting by the potential self assemble into linear semiflexible polymeric chains without branching. By suitable control of the potential parameters we…

Soft Condensed Matter · Physics 2018-05-09 Alex Abraham , Apratim Chatterji

Self-assembled linear structures like giant cylindrical micelles or discotic molecules in solution stacked in flexible columns are systems reminiscent of polydisperse polymer solutions.These supramolecular polymers have an equilibrium…

Soft Condensed Matter · Physics 2015-06-25 C-C Huang , H. Xu , F. Crevel , J. Wittmer , J. -P. Ryckaert

We study the behavior of a flexible polymer chain in the presence of a low-molecular weight solvent in the vicinity of a liquid-gas critical point within the framework of a self-consistent field theory. The total free energy of the dilute…

Statistical Mechanics · Physics 2015-07-29 Yu. A. Budkov , A. L. Kolesnikov , N. Georgi , M. G. Kiselev

The conformations of interacting linear polymers on a dynamical planar random lattice are studied using a random two-matrix model. An exact expression for the partition function of self-avoiding chains subject to attractive contact…

Condensed Matter · Physics 2008-02-03 Simon Dalley

In this work we used dissipative particle dynamics simulations to study the copolymerization process in the presence of spatial heterogeneities caused by incompatibility between polymerizing monomers. The polymer sequence details as well as…

Soft Condensed Matter · Physics 2017-09-26 Alexey A. Gavrilov , Alexander V. Chertovich

We study universal aspects of polymer conformations and transverse fluctuations for a single swollen chain characterized by a contour length $L$ and a persistence length $\ell_p$ in two dimensions (2D) and in three dimensions (3D) in the…

Soft Condensed Matter · Physics 2023-06-07 Jacob Bair , Swarnadeep Seth , Aniket Bhattacharya

It has been assumed until very recently that all long-range correlations are screened in three-dimensional melts of linear homopolymers on distances beyond the correlation length $\xi$ characterizing the decay of the density fluctuations.…

Consider directed polymers in a random environment on the complete graph of size $N$. This model can be formulated as a product of i.i.d. $N\times N$ random matrices and its large time asymptotics is captured by Lyapunov exponents and the…

Probability · Mathematics 2018-01-22 Francis Comets , Gregorio R. Moreno Flores , Alejandro F. Ramirez

Molecular dynamics simulation of a generic polymer model is applied to study melts of polymers with different types of intrinsic stiffness. Important static observables of the single chain such as gyration radius or persistence length are…

Soft Condensed Matter · Physics 2017-09-13 Roland Faller , Alexander Kolb , Florian Müller-Plathe

When an amorphous material is strained beyond the point of yielding it enters a state of continual reconfiguration via dissipative, avalanche-like slip events that relieve built-up local stress. However, how the statistics of such events…

Soft Condensed Matter · Physics 2019-01-30 Kieran A. Murphy , Karin A. Dahmen , Heinrich M. Jaeger

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

The breakage of a polymer chain of segments, coupled by anharmonic bonds with applied constant external tensile force is studied by means of Molecular Dynamics simulation. We show that the mean life time of the chain becomes progressively…

Soft Condensed Matter · Physics 2015-05-27 J. Paturej , A. Milchev , V. G. Rostiashvili , T. A. Vilgis

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

Experimental studies on the irreversible growth of field-induced chains of dipolar particles suggest an asymptotic power-law behavior of several relevant quantities. We introduce a Monte Carlo model of chain growth that explicitly…

Statistical Mechanics · Physics 2007-05-23 M. -Carmen Miguel , R. Pastor-Satorras

For biologically relevant macromolecules such as intrinsically disordered proteins, internal degrees of freedom that allow for shape changes have a large influence on both the motion and function of the compound. A detailed understanding of…