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Related papers: Scaling of complex polymers: new universality clas…

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We present a scaling theory describing the collapse of a homopolymer chain in poor solvent. At time t after the beginning of the collapse, the original Gaussian chain of length N is streamlined to form N/g segments of length R(t), each…

Soft Condensed Matter · Physics 2009-11-07 Cameron F. Abrams , Namkyung Lee , Sergei Obukhov

We study the effect of a random Flory-Huggins parameter in a symmetric diblock copolymer melt which is expected to occur in a copolymer where one block is near its structural glass transition. In the clean limit the microphase segregation…

Soft Condensed Matter · Physics 2009-11-11 Harry Westfahl , Joerg Schmalian

We study the conformational properties of charged polymers in a solvent in the presence of structural obstacles correlated according to a power law $\sim x^{-a}$. We work within the continuous representation of a model of linear chain…

Soft Condensed Matter · Physics 2013-11-25 V. Blavatska , C. von Ferber

Contrary to expectations based on Harris' criterion, chain disorder with frustration can modify the universality class of scaling at the theta transition of heteropolymers. This is shown for a model with random two-body potentials in 2D on…

Soft Condensed Matter · Physics 2009-10-31 Pietro Monari , Attilio L. Stella , Carlo Vanderzande , Enzo Orlandini

We apply scaling and the theory of the fundamental limits of the second-order molecular susceptibility to identify material classes with ultralarge nonlinear-optical response. Size effects are removed by normalizing all nonlinearities to…

Optics · Physics 2016-11-03 Javier Perez-Moreno , Shoresh Shafei , Mark G. Kuzyk

Studies of disordered heterogeneous media and galaxy cosmology share a common goal: analyzing the distribution of particles at `microscales' to predict physical properties at `macroscales', whether for a liquid, composite material, or…

Cosmology and Nongalactic Astrophysics · Physics 2023-01-11 Oliver H. E. Philcox , Salvatore Torquato

The scaling of the bond-bond correlation function $C(s)$ along linear polymer chains is investigated with respect to the curvilinear distance, $s$, along the flexible chain and the monomer density, $\rho$, via Monte Carlo and molecular…

Soft Condensed Matter · Physics 2009-11-10 J. P. Wittmer , H. Meyer , J. Baschnagel , A. Johner , S. Obukhov , L. Mattioni , M. Mueller , A. N. Semenov

A copolymer is a chain of repetitive units (monomers) that are almost identical, but they differ in their degree of affinity for certain solvents. This difference leads to striking phenomena when the polymer fluctuates in a nonhomogeneous…

Probability · Mathematics 2010-11-11 Francesco Caravenna , Giambattista Giacomin

We investigate, using numerical simulations and analytical arguments, a simple one dimensional model for the swelling or the collapse of a closed polymer chain of size N, representing the dynamical evolution of a polymer in a \Theta-solvent…

Condensed Matter · Physics 2009-10-31 E. Pitard , J. -P. Bouchaud

The influence of monomer-monomer interactions on the scaling exponents and shape characteristics of a single polymer chain in a selective solvent is investigated using Langevin dynamics simulations. By systematically increasing the…

Soft Condensed Matter · Physics 2025-04-01 K. Haydukivska

The literature on self- and tracer- diffusion of polymers in solution, and on tracer diffusion of probe polymers through solutions of matrix polymers, is reviewed. I show via systematic reanalysis that the entirety of the published…

Soft Condensed Matter · Physics 2009-09-29 George D. J. Phillies

Mesoscale behavior of polymers is frequently described by universal laws. This physical property motivates us to propose a new modeling concept, grouping polymers into classes with a common long-wavelength representation. In the same class…

Soft Condensed Matter · Physics 2016-10-25 Guojie Zhang , Torsten Stuehn , Kostas Ch. Daoulas , Kurt Kremer

The effect of ambient disorders and sequence heterogeneities on the reptation of a long polymer is studied with the aid of a disordered tube model. The dynamics of a random heteropolymer is found to be much slower than that of a homopolymer…

Soft Condensed Matter · Physics 2009-10-30 D. Cule , T. Hwa

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

Collapse of the polymer chain upon the sharp decrease of solvent quality is studied. During collapse, any pair of polymer units appearing in a sufficiently close vicinity in space has the possibility with a certain probability to form an…

Soft Condensed Matter · Physics 2019-11-07 A. M. Astakhov , S. K. Nechaev , K. E. Polovnikov

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

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

We report on the linear viscoelastic properties of mixtures comprising multiarm star (as model soft colloids) and long linear chain homopolymers in a good solvent. In contrast to earlier works, we investigated symmetric mixtures (with a…

Soft Condensed Matter · Physics 2020-07-01 Daniele Parisi , Domenico Truzzolillo , Vishnu D. Deepak , Mario Gauthier , Dimitris Vlassopoulos

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

The present research is dedicated to provide deeper understanding of the impact of complex architecture of branched polymers on their behaviour in solvents. The folding dynamics of macromolecules and hydrodynamics of polymer fluids are…

Soft Condensed Matter · Physics 2020-12-09 K. Haydukivska , V. Blavatska , J. Paturej