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Related papers: Colloids with polymer stars: The interaction

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We analyze a (1+1)-dimension directed random walk model of a polymer dipped in a medium constituted by two immiscible solvents separated by a flat interface. The polymer chain is heterogeneous in the sense that a single monomer may…

Probability · Mathematics 2007-05-23 Erwin Bolthausen , Giambattista Giacomin

Recent experimental results suggest that the E. coli chromosome feels a self-attracting interaction of osmotic origin, and is condensed in foci by bridging interactions. Motivated by these findings, we explore a generic modeling framework…

Soft Condensed Matter · Physics 2014-12-09 Vittore F. Scolari , Marco Cosentino Lagomarsino

An important goal of self-assembly is to achieve a preprogrammed structure with high fidelity. Here, we control the valence of DNA-functionalized emulsions to make linear and branched model polymers, or `colloidomers'. The distribution of…

Soft Condensed Matter · Physics 2018-10-03 Angus McMullen , Miranda Holmes-Cerfon , Francesco Sciortino , Alexander Y. Grosberg , Jasna Brujic

I did off-lattice 3D Monte Carlo simulations for polymer translocation through a narrow pore at low external field, trying to be as close to a direct approach as possible. The process was found non equilibrium globally, but dynamics of the…

Soft Condensed Matter · Physics 2008-06-18 Stanislav Kotsev

We calculate the short time and the long time diffusion coefficient of a spherical tracer particle in a polymer solution in the low density limit by solving the Smoluchowski equation for a two-particle system and applying a generalized…

Soft Condensed Matter · Physics 2015-05-13 Matthias Krüger , Markus Rauscher

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

Physical collisions between stars occur frequently in dense star clusters, either via close encounters between two single stars, or during strong dynamical interactions involving binary stars. Here we study stellar collisions that occur…

Astrophysics · Physics 2009-11-10 J. M. Fregeau , P. Cheung , S. F. Portegies Zwart , F. A. Rasio

In this paper we continue the study of the derivation of different types of kinetic equations which arise from scaling limits of interacting particle systems. We began this study in \cite{NVW}. More precisely, we consider the derivation of…

Mathematical Physics · Physics 2021-03-18 Alessia Nota , Juan J. L. Velázquez , Raphael Winter

In this work, we explore the statistical physics of colloidal particles that interact with electrolytes via ion-specific interactions. Firstly we study particles interact weakly with electrolyte using linear response theory. We find that…

Soft Condensed Matter · Physics 2016-10-12 Mingnan Ding , Yihao Liang , Xiangjun Xing

In this paper we compare two polymer stretching experiments. The outcome of both experiments is a force-extension relation. We use a one-dimensional model to show that in general the two quantities are not equal. In certain limits, however,…

Statistical Mechanics · Physics 2009-11-11 Erik Van der Straeten , Jan Naudts

The interactions between spherical colloids covered with end-grafted polymers (brushes) immersed in a polymer melt are studied theoretically. We show that attractive enthalpic interactions between the two polymer species, characterized by a…

Soft Condensed Matter · Physics 2009-10-31 I. Borukhov , L. Leibler

Colloid-polymer mixtures may undergo either fluid-fluid phase separation or gelation. This depends on the depth of the quench (polymer concentration) and polymer-colloid size ratio. We present a real-space study of dynamics in phase…

Soft Condensed Matter · Physics 2012-09-19 Isla Zhang , C. Patrick Royall , Paul Bartlett , Malcolm A. Faers

We consider the simplest representative of the class of multiply branched polymer macromolecules, known as a pom-pom structure. The molecule consists of a backbone linear chain terminated by two branching points with functionalities…

Soft Condensed Matter · Physics 2020-12-02 Khristine Haydukivska , Ostap Kalyuzhnyi , Viktoria Blavatska , Jaroslav Ilnytskyi

Theoretical derivation and numerical confirmation are provided for the scaling of pore-blockade times as $N^{2+\nu}$ for unbiased translocation in two and three dimensions, with $N$ as the polymer length and $\nu$ as the Flory exponent of…

Soft Condensed Matter · Physics 2010-02-12 Debabrata Panja , Gerard T. Barkema

We present the exact solutions of various directed walk models of polymers confined to a slit and interacting with the walls of the slit via an attractive potential. We consider three geometric constraints on the ends of the polymer and…

Statistical Mechanics · Physics 2009-11-11 R Brak , A L Owczarek , A Rechnitzer , S G Whittington

An effective pair potential for systems of uniformly charged lamellar colloids in the presence of an electrolytic solution of microscopic co- and counterions is derived. The charge distribution on the discs is expressed as a collection of…

Soft Condensed Matter · Physics 2009-10-31 D. G. Rowan , J. -P. Hansen , E. Trizac

We investigate the interaction energy between two colloidal particles on or immersed in nonadsorbing polymer brushes grafted onto the substrate as a function of the separation of the particles by use of self-consistent field theory…

Soft Condensed Matter · Physics 2007-05-23 Kang Chen , Yu-qiang Ma

We study the conformational properties of complex polymer macromolecules, consisting in general of $n$ subsequently connected chains (blocks) of different lengths and distinct chemical structure. Depending on the solvent conditions, the…

Soft Condensed Matter · Physics 2019-12-03 V. Blavatska , K. Haydukivska

We explore the conditions under which colloids can be stabilized by the addition of smaller particles. The largest repulsive barriers between colloids occur when the added particles repel each other with soft interactions, leading to an…

Soft Condensed Matter · Physics 2007-05-23 S. Karanikas , A. A. Louis

We present scaling estimates for characteristic times $\tau_{\rm lin}$ and $\tau_{\rm br}$ of pulling ideal linear and randomly branched polymers of $N$ monomers into a small hole by a force $f$. We show that the absorbtion process develops…

Statistical Mechanics · Physics 2009-11-11 A. Y. Grosberg , S. Nechaev , M. Tamm , O. Vasilyev