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We map dilute or semi-dilute solutions of non-intersecting polymer chains onto a fluid of ``soft'' particles interacting via a concentration dependent effective pair potential, by inverting the pair distribution function of the centers of…

Soft Condensed Matter · Physics 2009-10-31 A. A. Louis , P. G. Bolhuis , J. P. Hansen , E. J. Meijer

Mesoscopic molecular dynamics simulations are used to determine the large scale structure of several binary polymer mixtures of various chemical architecture, concentration, and thermodynamic conditions. By implementing an analytical…

Soft Condensed Matter · Physics 2010-04-05 J. McCarty , I. Y. Lyubimov , M. G. Guenza

A first-principle multiscale modeling approach is presented, which is derived from the solution of the Ornstein-Zernike equation for the coarse-grained representation of polymer liquids. The approach is analytical, and for this reason is…

Soft Condensed Matter · Physics 2009-09-09 J. McCarty , I. Y. Lyubimov , M. G. Guenza

An iterative Monte Carlo inversion method for the calculation of particle pair potentials from given particle pair correlations is proposed in this paper. The new method, which is best referred to as Iterative Ornstein-Zernike Inversion,…

Soft Condensed Matter · Physics 2018-04-13 Marco Heinen

We demonstrate how an iterative method for potential inversion from distribution functions developed for simple liquid systems can be generalized to polymer systems. It uses the differences in the potentials of mean force between the…

Soft Condensed Matter · Physics 2007-05-23 Dirk Reith , Mathias Puetz , Florian Mueller-Plathe

Dilute or semi-dilute solutions of non-intersecting self-avoiding walk (SAW) polymer chains are mapped onto a fluid of ``soft'' particles interacting via an effective pair potential between their centers of mass. This mapping is achieved by…

Soft Condensed Matter · Physics 2009-10-31 P. G. Bolhuis , A. A. Louis , J. P. Hansen , E. J. Meijer

An analytical description of polymer melts and their mixtures as liquids of interacting soft colloidal particles is obtained from liquid-state theory. The derived center-of-mass pair correlation functions with no adjustable parameters…

Soft Condensed Matter · Physics 2009-11-10 G. Yatsenko , E. J. Sambriski , M. A. Nemirovskaya , M. Guenza

Solutions of interacting linear polymers are mapped onto a system of ``soft'' spherical particles interacting via an effective pair potential. This coarse-graining reduces the individual monomer-level description to a problem involving only…

Soft Condensed Matter · Physics 2007-05-23 V. Krakoviack , J. P. Hansen , A. A. Louis

Numerically optimized reduced descriptions of macromolecular liquids often present thermodynamic inconsistency with atomistic level descriptions even if the total correlation function, i.e. the structure, appears to be in agreement. An…

Soft Condensed Matter · Physics 2013-02-14 Anthony J. Clark , Jay McCarty , Ivan Y. Lyubimov , Marina G. Guenza

A microscopic theory for coarse graining diblock copolymers into dumbbells of interacting soft colloidal particles has been developed, based on the solution of liquid-state integral equations. The Ornstein-Zernike equation is solved to…

Soft Condensed Matter · Physics 2009-11-13 E. J. Sambriski , M. G. Guenza

The change of the structure of concentrated colloidal suspensions upon addition of non-adsorbing polymer is studied within a two-component, Ornstein-Zernicke based liquid state approach. The polymers' conformational degrees of freedom are…

Soft Condensed Matter · Physics 2009-10-31 M. Fuchs , K. S. Schweizer

A key challenge for soft materials design and coarse-graining simulations is determining interaction potentials between components that give rise to desired condensed-phase structures. In theory, the Ornstein-Zernike equation provides an…

Soft Condensed Matter · Physics 2021-02-22 Rhys E. A. Goodall , Alpha A. Lee

A new potential of mean force is proposed for colloidal dispersions, which is obtained from coarse grained, pair interactions between colloidal particles formed by the explicit grouping of particles that are themselves groups of atoms and…

Soft Condensed Matter · Physics 2015-10-06 K. A. Terrón-Mejía , R. López-Rendón , A. Gama Goicochea

Using liquid integral equation theory, we calculate the pair correlations of particles that interact via a smooth repulsive pair potential in d = 4 spatial dimensions. We discuss the performance of different closures for the…

Soft Condensed Matter · Physics 2015-10-09 M. Heinen , J. Horbach , H. Löwen

The depletion interactions between two colloidal plates or between two colloidal spheres, induced by interacting polymers in a good solvent, are calculated theoretically and by computer simulations. A simple analytical theory is shown to be…

Soft Condensed Matter · Physics 2009-11-07 A. A. Louis , P. G. Bolhuis , E. J. Meijer , J. P. Hansen

An extension of the Asakura-Oosawa-Vrij model of hard sphere colloids and non-adsorbing polymers, that takes polymer non-ideality into account through a repulsive stepfunction pair potential between polymers, is studied with grand canonical…

Soft Condensed Matter · Physics 2007-05-23 R. L. C. Vink , M. Schmidt

Equilibration of polymer melts containing highly entangled long polymer chains in confinement or with free surfaces is a challenge for computer simulations. We approach this problem by first studying polymer melts based on the soft-sphere…

Soft Condensed Matter · Physics 2020-10-14 Hsiao-Ping Hsu , Kurt Kremer

We study fluid structure and water-like anomalies of a system constituted by dimeric particles interacting via a purely repulsive core-softened potential by means of integral equation theories. In our model, dimers interact through a…

Soft Condensed Matter · Physics 2017-03-08 Gianmarco Munaò , Franz Saija

A coarse-graining strategy, previously developed for polymer solutions, is extended here to mixtures of linear polymers and hard-sphere colloids. In this approach groups of monomers are mapped onto a single pseudoatom (a blob) and the…

Soft Condensed Matter · Physics 2015-01-07 Giuseppe D'Adamo , Andrea Pelissetto , Carlo Pierleoni

The Ornstein-Zernike equation is a powerful tool in liquid state theory for predicting structural and thermodynamic properties of fluids. Combined with a suitable closure, it has been shown to reproduce e.g. the static structure factor,…

Soft Condensed Matter · Physics 2024-07-29 Ilian Pihlajamaa , Liesbeth M. C. Janssen
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