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Related papers: Knots as Topological Order Parameter For Semi-Flex…

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Semiflexible polymers are widely used as a paradigm for understanding structural phases in biomolecules including folding of proteins. Here, we compare bead-spring and bead-stick variants of coarse-grained semiflexible polymer models that…

Soft Condensed Matter · Physics 2024-02-16 Wolfhard Janke , Suman Majumder , Martin Marenz , Subhajit Paul

Semiflexible polymer models are widely used as a paradigm to understand structural phases in biomolecules including folding of proteins. Since stable knots are not so common in real proteins, the existence of stable knots in semiflexible…

Soft Condensed Matter · Physics 2021-07-14 Suman Majumder , Martin Marenz , Subhajit Paul , Wolfhard Janke

We employ the recently introduced generalized microcanonical inflection point method for the statistical analysis of phase transitions in flexible and semiflexible polymers and study the impact of the bending stiffness upon the character…

Soft Condensed Matter · Physics 2022-12-05 Dilimulati Aierken , Michael Bachmann

The mechanical properties of polymer knots under stretching in a bad or good solvent are investigated by applying a given force $F$ to a point of the knot while keeping another point fixed. The Monte Carlo sampling of the polymer…

Soft Condensed Matter · Physics 2015-12-15 Yani Zhao , Franco Ferrari

Semiflexible polymers in poor solvents exhibit a rich variety of collapsed morphologies, including globules, toroids, and rodlike bundles, arising from the competition between attractive interactions and chain stiffness. Computer…

Statistical Mechanics · Physics 2026-01-22 Biman Bagchi

We introduce a novel coarse-grained bead-spring model for flexible polymers to systematically examine the effects of an adjusted bonded potential on the formation and stability of structural macrostates in a thermal environment. The density…

Biological Physics · Physics 2019-02-11 Kai Qi , Benjamin Liewehr , Tomas Koci , Busara Pattanasiri , Matthew J. Williams , Michael Bachmann

We consider the folding of a self-avoiding homopolymer on a lattice, with saturating hydrogen bond interactions. Our goal is to numerically evaluate the statistical distribution of the topological genus of pseudoknotted configurations. The…

Biomolecules · Quantitative Biology 2009-11-11 G. Vernizzi , P. Ribeca , H. Orland , A. Zee

After a discussion of the definition and number of pseudoknots, we reconsider the self-attracting homopolymer paying particular attention to the scaling of the number of pseudoknots at different temperature regimes in two and three…

Statistical Mechanics · Physics 2009-11-10 A. Kabakcioglu , A. L. Stella

In this work the thermodynamic properties of short polymer knots (up to 120 segments) defined on a simple cubic lattice are studied with the help of the Wang-Landau Monte Carlo algorithm. The sampling process is performed using pivot…

Soft Condensed Matter · Physics 2015-06-16 Yani Zhao , Franco Ferrari

Many variants of RNA, DNA, and even proteins can be considered semiflexible polymers, where bending stiffness, as a type of energetic penalty, competes with attractive van der Waals forces in structure formation processes. Here, we…

Soft Condensed Matter · Physics 2023-06-07 Dilimulati Aierken , Michael Bachmann

The interplay of nematic order and phase separation in solutions of semiflexible polymers in solvents of variable quality is investigated by density functional theory (DFT) and molecular dynamics (MD) simulations. We studied coarse-grained…

Soft Condensed Matter · Physics 2019-09-04 Jiarul Midya , Sergei A. Egorov , Kurt Binder , Arash Nikoubashman

By means of multicanonical computer simulations, we investigate thermodynamic properties of the aggregation of interacting semiflexible polymers. We analyze a mesoscopic bead-stick model, where nonbonded monomers interact via Lennard-Jones…

Soft Condensed Matter · Physics 2015-05-28 Christoph Junghans , Michael Bachmann , Wolfhard Janke

Conformations of a single semiflexible polymer chain dissolved in a low molecular weight liquid crystalline solvents (nematogens) are examined by using a mean field theory. We takes into account a stiffness and partial orientational…

Soft Condensed Matter · Physics 2009-11-07 Akihiko Matsuyama

We investigate the addition of stiffness to the lattice model of hydrogen-bonded polymers in two and three dimensions. We find that, in contrast to polymers that interact via a homogeneous short-range interaction, the collapse transition is…

Soft Condensed Matter · Physics 2009-11-13 J Krawczyk , AL Owczarek , T Prellberg

We use numerical simulations of a bead-spring model chain to investigate the evolution of the conformation of long and flexible elastic fibers in a steady shear flow. In particular, for rather open initial configurations, and by varying a…

Soft Condensed Matter · Physics 2015-06-11 Steve Kuei , Agnieszka M. Slowicka , Maria L. Ekiel-Jezewska , Eligiusz Wajnryb , Howard A. Stone

The interplay of topological constraints and Coulomb interactions in static and dynamic properties of charged polymers is investigated by numerical simulations and scaling arguments. In the absence of screening, the long-range interaction…

Statistical Mechanics · Physics 2009-11-07 Paul G. Dommersnes , Yacov Kantor , Mehran Kardar

The thermal properties of coarse grained knotted polymers containing two kinds of monomers $A$ and $B$ fluctuating in a solution are investigated on a simple cubic lattice using the Wang-Landau MC algorithm. These knots have a more complex…

Soft Condensed Matter · Physics 2022-09-07 Neda Abbasi Taklimi , Franco Ferrari , Marcin Radosław Piątek , Luca Tubiana

Using Langevin dynamics complemented by Wang-Landau Monte Carlo simulations, we study the phase behavior of single and multiple semiflexible polymer chains in solution under poor-solvent conditions. In the case of a single chain, we obtain…

The statistical mechanics of a long knotted collapsed polymer is determined by a free-energy with a knot-dependent subleading term, which is linked to the length of the shortest polymer that can hold such knot. The only other parameter…

Statistical Mechanics · Physics 2014-12-01 Marco Baiesi , Enzo Orlandini , Attilio L. Stella

We study the aggregation transition of a finite theta-polymer system in dependence on the bending stiffness $\kappa$ with the help of parallel multicanonical simulations. In order to distinguish amorphous aggregates from polymer bundles we…

Soft Condensed Matter · Physics 2015-02-03 Johannes Zierenberg , Wolfhard Janke
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