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We determine the second, third, and fourth virial coefficients appearing in the density expansion of the osmotic pressure of a monodisperse polymer solution in good-solvent conditions. Using the expected large-concentration behavior, we…

Statistical Mechanics · Physics 2007-05-23 Sergio Caracciolo , Bortolo Matteo Mognetti , Andrea Pelissetto

In this paper we show that the virial expansion up to third order for the osmotic pressure of a dilute polymer solution, including first-order perturbative corrections to the virial coefficients, allows for a scaling description of…

Soft Condensed Matter · Physics 2009-11-07 J. S. Hager , M. A. Anisimov , J. V. Sengers , E. E. Gorodetskii

We determine the density expansion of the radius of gyration, of the hydrodynamic radius, and of the end-to-end distance for a monodisperse polymer solution in good-solvent conditions. We consider the scaling limit (large degree of…

Statistical Mechanics · Physics 2007-05-23 Sergio Caracciolo , Bortolo Matteo Mognetti , Andrea Pelissetto

Confined in two dimensional planes, polymer chains comprising dense monolayer solution are segregated from each other due to topological interaction. Although the segregation is inherent in two dimensions (2D), the solution may display…

Soft Condensed Matter · Physics 2022-09-26 Lei Liu , Changbong Hyeon

We extend our previously developed coarse-graining strategy for linear polymers with a tunable number n of effective atoms (blobs) per chain [D'Adamo et al., J. Chem. Phys. 137, 4901 (2012)] to polymer systems in thermal crossover between…

Soft Condensed Matter · Physics 2014-11-07 Giuseppe D'Adamo , Andrea Pelissetto , Carlo Pierleoni

We consider three different continuum polymer models, that all depend on a tunable parameter r that determines the strength of the excluded-volume interactions. In the first model chains are obtained by concatenating hard spherocylinders of…

Soft Condensed Matter · Physics 2017-10-25 Giuseppe D'Adamo , Andrea Pelissetto

We propose a scaling description of phase separation of polymer solutions. The scaling incorporates three universal limiting regimes: the Ising limit asymptotically close to the critical point of phase separation, the "ideal-gas" limit for…

Soft Condensed Matter · Physics 2009-10-31 M. A. Anisimov , V. A. Agayan , E. E. Gorodetskii

The surface tension, the adsorption, and the depletion thickness of polymers close to a single nonadsorbing colloidal sphere are computed by means of Monte Carlo simulations. We consider polymers under good-solvent conditions and in the…

Soft Condensed Matter · Physics 2014-05-06 Giuseppe D'Adamo , Andrea Pelissetto , Carlo Pierleoni

Conformational transitions of a single macromolecule of finite size $N$ cannot be described within standard thermodynamic framework. Taking as a basis a simple model of homopolymer exhibiting a coil-globule transition, we show that a…

Statistical Mechanics · Physics 2007-05-23 Annick Lesne , Jean-Marc Victor

In a recent article on stretched polymers in a poor solvent by Grassberger and Hsu \cite{grassberger2002a-a} questions were raised as to the conclusions that can be drawn from currently proposed scaling theory for a single polymer in…

Statistical Mechanics · Physics 2007-05-23 A. L. Owczarek , T. Prellberg

We investigate the response to temperature of a well-known colloid-polymer mixture. At room temperature, the critical value of the second virial coefficient of the effective interaction for the Asakura-Oosawa model predicts the onset of…

Soft Condensed Matter · Physics 2017-12-27 Shelley L. Taylor , Robert Evans , C. Patrick Royall

The properties of the interface in a phase-separated solution of polymers with different degrees of polymerization and Kuhn segment lengths are calculated. The starting point is the planar interface, the profile of which is calculated in…

Soft Condensed Matter · Physics 2015-06-15 R. H. Tromp , E. M. Blokhuis

The crossover region in the phase diagram of polymer solutions, in the regime above the overlap concentration, is explored by Brownian Dynamics simulations, to map out the universal crossover scaling functions for the gyration radius and…

Soft Condensed Matter · Physics 2020-07-03 Aashish Jain , B. Duenweg , J. Ravi Prakash

We consider a model mixture of hard colloidal spheres and non-adsorbing polymer chains in a theta solvent. The polymer component is modelled as a polydisperse mixture of effective spheres, mutually noninteracting but excluded from the…

Soft Condensed Matter · Physics 2009-11-10 A. R. Denton , M. Schmidt

We determine the phase diagram of mixtures of spherical colloids and neutral nonadsorbing polymers in the thermal crossover region between the $\theta$ point and the good-solvent regime. We use the generalized free-volume theory (GFVT),…

Soft Condensed Matter · Physics 2015-10-09 Giuseppe D'Adamo , Andrea Pelissetto , Carlo Pierleoni

The aim of this paper is to investigate the distribution of a continuous polymer in the presence of an attractive finitely supported potential. The most intricate behavior can be observed if we simultaneously and independently vary two…

Mathematical Physics · Physics 2020-12-04 L. Koralov , S. Molchanov , B. Vainberg

We consider a mean-field model of a polymer with a spherically-symmetric finitely supported potential. We describe how the typical size of the polymer depends on the two parameters: the temperature, which approaches the critical value, and…

Mathematical Physics · Physics 2020-08-12 L. Koralov , S. Molchanov , B. Vainberg

The properties of semidilute polymer solutions are investigated at equilibrium and under shear flow by mesoscale simulations, which combine molecular dynamics simulations and the multiparticle collision dynamics approach. In semidilute…

Soft Condensed Matter · Physics 2015-03-19 Chien-Cheng Huang , Roland G. Winkler , Godehard Sutmann , Gerhard Gompper

When two immiscible liquids that coexist inside a porous medium are drained through an opening, a complex flow takes place in which the interface between the liquids moves, tilts and bends. The interface profiles depend on the physical…

Fluid Dynamics · Physics 2010-01-14 Alejandro David Mariotti , Elena Brandaleze , Gustavo C. Buscaglia

We study the connection between polymers at the theta temperature on the lattice and Schramm-Loewner chains with constant step length in the continuum. The latter realize a useful algorithm for the exact sampling of tricritical polymers,…

Statistical Mechanics · Physics 2015-06-16 Marco Gherardi
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