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Star polymer is a typical nonlinear macromolecule possessing special thermodynamic behaviors for the existence of a jointing point. The thermodynamic transitions of a single star polymer are systematically studied with bond fluctuation…

Soft Condensed Matter · Physics 2015-05-27 Zilu Wang , Xuehao He

We consider star polymers, consisting of two different polymer species, in a solvent subject to quenched correlated structural obstacles. We assume that the disorder is correlated with a power-law decay of the pair correlation function…

Soft Condensed Matter · Physics 2011-01-17 Viktoria Blavatska , Christian von Ferber , Yurij Holovatch

The fabrication of versatile building blocks that are reliably self-assemble into desired ordered and disordered phases is amongst the hottest topics in contemporary material science. To this end, microscopic units of varying complexity,…

Soft Condensed Matter · Physics 2016-03-23 Lorenzo Rovigatti , Barbara Capone , Christos N. Likos

Single-chain Monte Carlo simulations of amphiphilic diblock star copolymers were carried out in continuous space using implicit solvents. Two distinct architectures were studied: stars with the hydrophobic blocks attached to the core, and…

Soft Condensed Matter · Physics 2009-11-10 Ronan Connolly , Edward G. Timoshenko , Yuri A. Kuznetsov

In this paper we continue our recent analysis [K. Haydukivska et al., J. Mol. Liq., 2021, 328, 115456] of complex molecules with two branching points at both ends of the linear backbone with $f_1$ and $f_2$ side arms starting from them,…

Soft Condensed Matter · Physics 2022-07-14 Khristine Haydukivska , Ostap Kalyuzhnyi , Viktoria Blavatska , Jaroslav Ilnytskyi

We consider a model of star copolymers, based on self-avoiding walks, where the arms of the star can be chemically distinct. The copolymeric star is attached to an impenetrable surface at a vertex of unit degree and the different monomers…

Statistical Mechanics · Physics 2022-06-22 EJ Janse van Rensburg , SG Whittington

Polymer chains dissolved in a solvent take random conformations due to large internal degrees of freedom and are characterized geometrically by their average shape and size. The diffusive dynamics of such large macromolecules play an…

Soft Condensed Matter · Physics 2023-07-11 Prabeen Kumar Pattnayak , Aloke Kumar , Gaurav Tomar

The statistical mechanics of a linear non-interacting polymer chain with a large number of monomers is considered with fixed angular momentum. The radius of gyration for a linear polymer is derived exactly by functional integration. This…

Soft Condensed Matter · Physics 2013-05-29 Matthew Brunner , J. M. Deutsch

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

Polymers in a melt may be subject to topological constraints, as in the example of unlinked polymer rings. How to do statistical mechanics in the presence of such constraints remains a fundamental open problem. We study the effect of…

Statistical Mechanics · Physics 2015-12-04 Pablo Serna , Guy Bunin , Adam Nahum

In this paper we study the shape characteristics of star-like polymers in various solvent quality using a mesoscopic level of modeling. The dissipative particle dynamics simulations are performed for the homogeneous and four different…

Soft Condensed Matter · Physics 2020-03-24 O. Kalyuzhnyi , J. M. Ilnytskyi , Yu. Holovatch , C. von Ferber

We analyze the universal conformational properties of complex copolymer macromolecules, based on two topologies: the rosette structure containing $f_c$ linear branches and $f_r$ closed loops grafted to the central core, and the symmetric…

Soft Condensed Matter · Physics 2024-04-02 K. Haydukivska , V. Blavatska

Via large-scale molecular dynamics simulations, we observe the melting of a topological glass of stiff ring polymers by incorporating flexible ring polymers, along an isobaric path. As more flexible ring polymers are introduced, cluster…

Soft Condensed Matter · Physics 2023-05-19 Projesh Kumar Roy , Pinaki Chaudhuri , Satyavani Vemparala

We analyze the statistics of loops formation in $f$-branched star polymers in an environment with structural defects, correlated at large distances $r$ according to a power law $\sim r^{-a}$. Applying the direct polymer renormalization…

Soft Condensed Matter · Physics 2017-10-04 K. Haydukivska , V. Blavatska

Simulations and Mode-Coupling Theory calculations, for a large range of the arm number $f$ and packing fraction $\eta$ have shown that the structural arrest and the dynamics of star polymers in a good solvent are extremely rich: the systems…

Soft Condensed Matter · Physics 2009-11-10 F. Lo Verso , L. Reatto , G. Foffi , P. Tartaglia , K. A. Dawson

The size of rings (also called cyclic polymers) in bidisperse blends of chemically identical rings is analyzed by computer simulations. Data of entangled ring blends and blends of interpenetrating rings are compared and it is shown that the…

Soft Condensed Matter · Physics 2021-03-31 Michael Lang

Topological constraints can affect both equilibrium and dynamic properties of polymer systems, and can play a role in the organization of chromosomes. Despite many theoretical studies, the effects of topological constraints on the…

Soft Condensed Matter · Physics 2014-12-12 Maxim Imakaev , Konstantin Tchourine , Sergei Nechaev , Leonid Mirny

We employ effective interaction potentials to study the equilibrium structure and phase behavior of highly asymmetric mixtures of star polymers. We consider in particular the influence of the addition of a component with a small number of…

Soft Condensed Matter · Physics 2007-05-23 Christian Mayer , Christos N. Likos , Hartmut Löwen

We consider polymers in which M randomly selected pairs of monomers are restricted to be in contact. Analytical arguments and numerical simulations show that an ideal (Gaussian) chain of N monomers remains expanded as long as M<<N; its mean…

Condensed Matter · Physics 2009-10-28 Yacov Kantor , Mehran Kardar

The equilibrium properties of block copolymer micelles confined in polymer thin films are investigated using self-consistent field theory. The theory is based on a model system consisting of AB diblock copolymers and A homopolymers. Two…

Soft Condensed Matter · Physics 2014-01-16 Jiajia Zhou , An-Chang Shi