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Related papers: Accurate effective pair potentials for polymer sol…

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Rheo-optical measurements on Polyemethyl methacrylate (PMMA) and 4-Butoxycarbonylmethylurethane (4-BCMU) show that these synthetic random coil polymer chains compress in Couette flow at semi-dilute concentrations. All previous models of…

Soft Condensed Matter · Physics 2014-04-01 Dave E. Dunstan

This is a rather personal review of the problem of self-avoiding walks and polygons. After defining the problem, and outlining what is known rigorously and what is merely conjectured, I highlight the major outstanding problems. I then give…

Mathematical Physics · Physics 2012-12-17 Anthony J. Guttmann

Polymer systems in slab geometries are studied on the basis of the recently presented Gaussian Ellipsoid Model [J. Chem. Phys. 114, 7655 (2001)].The potential of the confining walls has an exponential shape. For homogeneous systems in…

Soft Condensed Matter · Physics 2009-11-07 F. Eurich , P. Maass , J. Baschnagel

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 thermodynamics of a homogeneous dilute Bose gas with an arbitrary strong repulsion between particles is investigated on the basis of the exact relation connecting the pair correlation function with the in-medium pair wave functions and…

Statistical Mechanics · Physics 2007-05-23 A. Yu. Cherny , A. A. Shanenko

Using a simple density functional theory (DFT) we determine the height of the free energy barrier for forming a droplet of the liquid phase from the metastable gas phase for a model colloidal fluid exhibiting competing interactions. The…

Soft Condensed Matter · Physics 2011-10-03 A J Archer , R Evans

We report a numerical study of equilibrium phase-diagrams and interfacial properties of bulk and confined colloid-polymer mixtures using grand canonical Monte Carlo simulations. Colloidal particles are treated as hard spheres, while the…

Soft Condensed Matter · Physics 2009-11-13 Andrea Fortini , Peter G. Bolhuis , Marjolein Dijkstra

We study the behavior of a flexible polymer chain in the presence of a low-molecular weight solvent in the vicinity of a liquid-gas critical point within the framework of a self-consistent field theory. The total free energy of the dilute…

Statistical Mechanics · Physics 2015-07-29 Yu. A. Budkov , A. L. Kolesnikov , N. Georgi , M. G. Kiselev

The rigorous description of correlated quantum many-body systems constitutes one of the most challenging tasks in contemporary physics and related disciplines. In this context, a particularly useful tool is the concept of effective pair…

Computational Physics · Physics 2022-12-07 Tobias Dornheim , Panagiotis Tolias , Zhandos Moldabekov , Attila Cangi , Jan Vorberger

The gas of the interacted electrons is usually described within Kohn-Sham approximation by the set of Poisson and Schr\"{o}dinger equations with an effective potential for the single-particle wave functions. The solution of these equations…

Materials Science · Physics 2007-05-23 A. Ya. Shul'man , D. V. Posvyanskii

The depletion force and depletion potential between two in principle unequal "big" hard spheres embedded in a multicomponent mixture of "small" hard spheres are computed using the Rational Function Approximation method for the structural…

Soft Condensed Matter · Physics 2015-06-29 Santos Bravo Yuste , Andrés Santos , Mariano López de Haro

Modeling of polymer chains has received a lot of attention in mathematics. In fact, probabilistic models that naturally arise in statistical mechanics have been widely studied by mathematicians for the very challenging and novel problems…

Probability · Mathematics 2007-05-23 Francesco Caravenna

The practical success of density functional theory (DFT) is largely credited to the Kohn-Sham approach, which enables the exact calculation of the non-interacting electron kinetic energy via an auxiliary noninteracting system. Yet, the…

Computational Physics · Physics 2025-03-21 Sangita Majumdar , Zekun Shi , Giovanni Vignale

The impact of impenetrable obstacles on the energetics and equilibrium structure of strongly repulsive directed polymers is investigated. As a result of the strong interactions, regions of severe polymer depletion and excess are found in…

Soft Condensed Matter · Physics 2013-08-30 Anton Souslov , D. Zeb Rocklin , Paul M. Goldbart

The effective potential theory is a physically motivated method for extending traditional plasma transport theories to stronger coupling. It is practical in the sense that it is easily incorporated within the framework of the Chapman-Enskog…

Plasma Physics · Physics 2015-06-23 Scott D. Baalrud , Kim O. Rasmussen , Jerome Daligault

The inter-molecular structure of semidilute polymer solutions is studied theoretically. The low density limit of a generalized Ornstein-Zernicke integral equation approach to polymeric liquids is considered. Scaling laws for the…

Soft Condensed Matter · Physics 2009-10-31 M. Fuchs , M. Müller

The high-energy repulsive interaction between nuclei at distances much smaller than the equilibrium bond length is the key quantity determining the nuclear stopping power and atom scattering in keV and MeV radiation events. This interaction…

Computational Physics · Physics 2025-03-31 Kai Nordlund , Susi Lehtola , Gerhard Hobler

Density (or state) dependent pair potentials arise naturally from coarse-graining procedures in many areas of condensed matter science. However, correctly using them to calculate physical properties of interest is subtle and cannot be…

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

The structural properties of fluids whose molecules interact via potentials with a hard-core plus n piece-wise constant sections of different widths and heights are derived using a (semi-analytical) rational-function approximation method.…

Soft Condensed Matter · Physics 2012-07-13 A. Santos , S. B. Yuste , M. López de Haro

We present simulation data for the motion of a polymer chain through a regular lattice of impenetrable obstacles (Evans-Edwards model). Chain lengths range from N=20 to N=640, and time up to $10^{7}$ Monte Carlo steps. For $N \geq 160$ we…

Soft Condensed Matter · Physics 2016-08-17 A. Baumgärtner , U. Ebert , L. Schäfer