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The behavior of mesoscopic particles dissolved in a dilute solution of long, flexible, and nonadsorbing polymer chains is studied by field-theoretic methods. For spherical and cylindrical particles the solvation free energy for immersing a…

Soft Condensed Matter · Physics 2009-10-31 A. Hanke , E. Eisenriegler , S. Dietrich

The rapid collapse of a polymer, due to external forces or changes in solvent, yields a long-lived `crumpled globule.' The conjectured fractal structure shaped by hierarchical collapse dynamics has proved difficult to establish, even with…

Soft Condensed Matter · Physics 2015-10-07 Guy Bunin , Mehran Kardar

We propose a model for chiral polymerisation and investigate its symmetric and asymmetric solutions. The model has a source species which decays into left- and right-handed types of monomer, each of which can polymerise to form homochiral…

Biological Physics · Physics 2009-11-10 Jonathan AD Wattis , Peter V. Coveney

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

In a variety of situations, isolated polymer molecules are found in a vacuum and here we examine their properties. Angular momentum conservation is shown to significantly alter the average size of a chain and its conservation is only broken…

Soft Condensed Matter · Physics 2009-11-13 J. M. Deutsch

A recently proposed model of non-autocatalytic reactions in dipeptide reactions leading to spontaneous symmetry breaking and homochirality is examined. The model is governed by activation, polymerization, epimerization and depolymerization…

Biomolecules · Quantitative Biology 2007-11-01 Axel Brandenburg , Harry J. Lehto , Kirsi M. Lehto

We consider the model for the distribution of a long homopolymer in a potential field. The typical shape of the polymer depends on the temperature parameter. We show that at a critical value of the temperature the transition occurs from a…

Probability · Mathematics 2009-02-18 M. Cranston , L. Koralov , S. Molchanov , B. Vainberg

We discuss structural correlations in mixtures of free polymer and colloidal particles based on a microscopic, 2-component liquid state integral equation theory. Whereas in the case of polymers much smaller than the spherical particles the…

Soft Condensed Matter · Physics 2009-11-07 Matthias Fuchs , Kenneth S. Schweizer

In this paper, we investigate a stochastic model describing the time evolution of a polymerization process. A polymer is a macro-molecule resulting from the aggregation of several elementary sub-units called monomers. Polymers can grow by…

Probability · Mathematics 2018-08-24 Philippe Robert , Wen Sun

Experimental mechanisms that yield the growth of homochiral copolymers over their heterochiral counterparts have been advocated by Lahav and co-workers. These chiral amplification mechanisms proceed through racemic {\beta}-sheet-controlled…

Quantitative Methods · Quantitative Biology 2012-12-19 Celia Blanco , David Hochberg

We investigate the effect of polymer length dispersity on the properties of self-assembled micelles in solution by self-consistent field calculations. Polydispersity stabilizes micelles by raising the free energy barriers of micelle…

Soft Condensed Matter · Physics 2019-02-13 Sriteja Mantha , Shuanhu Qi , Matthias Barz , Friederike Schmid

This study is devoted to the long-term behavior of nucleation, growth and fragmentation equations, modeling the spontaneous formation and kinetics of large polymers in a spatially homogeneous and closed environment. Such models are, for…

Analysis of PDEs · Mathematics 2018-11-20 Juan Calvo , Marie Doumic , Benoît Perthame

We investigate the internal structure of a polymer during collapse from an expanded coil to a compact globule. Collapse is more probable in local regions of high curvature, so a smoothing of the fractal polymer structure occurs that…

Soft Condensed Matter · Physics 2008-11-07 G. E. Crooks , B. Ostrovsky , Y. Bar-Yam

Building structures with hierarchical order through the self-assembly of smaller blocks is not only a prerogative of nature, but also a strategy to design artificial materials with tailored functions. We explore in simulation the…

Soft Condensed Matter · Physics 2020-02-17 Santi Prestipino , Domenico Gazzillo , Gianmarco Munaò , Dino Costa

It is commonly accepted that in concentrated solutions or melts high-molecular weight polymers display random-walk conformational properties without long-range correlations between subsequent bonds. This absence of memory means, for…

Soft Condensed Matter · Physics 2009-11-11 J. P. Wittmer , P. Beckrich , F. Crevel , C. C. Huang , A. Cavallo , T. Kreer , H. Meyer

We investigate the effect of fragmentation on the homogeneous free cooling of inelastic hard spheres, using Boltzmann kinetic theory and Direct Monte Carlo simulations. We analyze in detail a model where dissipative collisions may…

Statistical Mechanics · Physics 2015-06-24 Ignacio Pagonabarraga , Emmanuel Trizac

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

The onset of self-assembly in a dilute aqueous solution containing a flexible polymer and surfactant is theoretically studied. Focusing on the effect of the surfactant on polymer conformation and using a conjecture of partial collapse of…

Soft Condensed Matter · Physics 2007-05-23 Haim Diamant , David Andelman

We calculate the second and third virial coefficients of the effective sphere-sphere interaction due to polymer depletion. By utilizing the anisotropy of a typical polymer conformation, we can consider polymers that are roughly the same…

Soft Condensed Matter · Physics 2009-10-31 Mario Triantafillou , Randall D. Kamien

A discrete model for the sintering of polydisperse, inhomogeneous arrays of cylinders is presented with empirical contact force-laws, taking into account plastic deformations, cohesion, temperature dependence (melting), and long-time…

Statistical Mechanics · Physics 2007-05-23 Stefan Luding , Karsten Manetsberger , Johannes Müllers
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