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We perform numerical simulations of purely repulsive soft colloidal particles interacting via a generalized elastic potential and constrained to a two-dimensional plane and to the surface of a spherical shell. For the planar case, we…

Soft Condensed Matter · Physics 2011-06-16 William L. Miller , Angelo Cacciuto

Dynamics of two particles with short range repulsive or attractive interaction is studied numerically in the Harper model. It is shown that interaction leads to appearance of localized states and pure-point spectrum component in the case…

Condensed Matter · Physics 2009-10-28 D. L. Shepelyansky

A theoretical description of the radial density profile for charged particles with Yukawa interaction in a harmonic trap is described. At strong Coulomb coupling shell structure is observed in both computer simulations and experiments.…

Statistical Mechanics · Physics 2015-05-30 Henning Bruhn , Hanno Kählert , Torben Ott , Michael Bonitz , Jeffrey Wrighton , James Dufty

In this thesis we study the lateral electrostatic interaction between a pair of non-identical, moderately charged colloidal particles trapped at an electrolyte interface in the limit of short inter-particle separations. Using a simplified…

Soft Condensed Matter · Physics 2017-10-17 Timo Schmetzer

The phase diagram of a simple model with two patches of type A and ten patches of type B (2A10B) on the face centred cubic lattice has been calculated by simulations and theory. Assuming that there is no interaction between the B patches…

Soft Condensed Matter · Physics 2015-06-12 N. G. Almarza , J. M. Tavares , E. G. Noya , M. M. Telo da Gama

The phase diagram of crystalline bilayers of particles interacting via a Yukawa potential is calculated for arbitrary screening lengths and particle densities. Staggered rectangular, square, rhombic and triangular structures are found to be…

Soft Condensed Matter · Physics 2007-05-23 Rene Messina , Hartmut Loewen

This paper shows that several known properties of the Yukawa system can be derived from the isomorph theory, which applies to any system that has strong correlations between its virial and potential-energy equilibrium fluctuations. Such…

Soft Condensed Matter · Physics 2015-11-10 Arno A. Veldhorst , Thomas B. Schrøder , Jeppe C. Dyre

Interactions between charged colloidal particles are profoundly influenced by charge regulation and charge renormalization, rendering the effective potential highly sensitive to local particle density. In this work, we investigate how a…

Soft Condensed Matter · Physics 2025-11-10 Laura Jansen , Thijs ter Rele , Marjolein Dijkstra

We calculate tractable microscopic expressions for the low-shear normal-stress coefficients of colloidal dispersions. Although restricted to the low rate regime, the presented formulas are valid for all volume fractions below the glass…

Soft Condensed Matter · Physics 2013-10-08 T. F. F. Farage , J. Reinhardt , J. M. Brader

We analyse the $r \to \infty$ asymptotic decay of the total correlation function, $h(r)$, for a fluid composed of particles interacting via a (point) Yukawa pair potential. Such a potential provides a simple model for dusty plasmas. The…

Soft Condensed Matter · Physics 2007-05-23 P. Hopkins , A. J. Archer , R. Evans

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 propose a new coarse-grained model for the description of liquid-vapor phase separation of colloid-polymer mixtures. The hard-sphere repulsion between colloids and between colloids and polymers, which is used in the well-known…

Soft Condensed Matter · Physics 2009-11-13 Jochen Zausch , Peter Virnau , Kurt Binder , Juergen Horbach , Richard L. Vink

We predict the nature (attractive or repulsive) and range (exponentially screened or long-range power law) of the electrostatic interactions of oppositely charged and planar plates as a function of the salt concentration and surface charge…

Soft Condensed Matter · Physics 2012-01-31 Dan Ben-Yaakov , Yoram Burak , David Andelman , S. A. Safran

Polarizable particle systems, including charged colloids, polarizable ions, biomolecular assemblies, and soft nanomaterials, can exhibit contact electrostatic interactions that depart strongly from Coulomb behavior when dielectric mismatch…

Soft Condensed Matter · Physics 2026-05-13 Yanyu Duan , Zecheng Gan

It is general wisdom that the pair potential of charged colloids in a liquid may be closely approximated by a Yukawa interaction, as predicted by the classical Derjaguin-Landau-Verwey-Overbeek (DLVO) theory. We experimentally determine the…

Soft Condensed Matter · Physics 2016-07-25 Samuel D. Finlayson , Paul Bartlett

We critically examine a broad class of explicitly polarisable soft solvent models aimed at applications in dissipative particle dynamics. We obtain the dielectric permittivity using the fluctuating box dipole method in linear response…

Soft Condensed Matter · Physics 2025-11-03 Silvia Chiacchiera , Patrick B. Warren , Andrew J. Masters , Michael A. Seaton

Biomolecular condensates are formed via liquid-liquid phase separation of proteins, often together with nucleic acids, typically driven by interactions between low-affinity binding sites. The computational study of such condensates that…

Soft Condensed Matter · Physics 2025-01-16 Alena Taskina , Devika Magan , Simon Dannenberg , Stefan Klumpp

The object of this study is a cell model with Curie-Weiss interaction potential. We have already proved the possibility of a mathematically rigorous transition from a continuous system of interacting particles to such a model and made an…

Statistical Mechanics · Physics 2021-12-03 M. P. Kozlovskii , O. A. Dobush

We calculate the phase behavior of hard spheres with size polydispersity, using accurate free energy expressions for the fluid and solid phases. Cloud and shadow curves, which determine the onset of phase coexistence, are found exactly by…

Condensed Matter · Physics 2007-05-23 M. Fasolo , P. Sollich

By solving the Young Laplace equation of capillary hydrostatics one can accurately determine equilibrium shapes of droplets on relatively smooth solid surfaces. The solution, however of the Young Laplace equation becomes tricky when a…

Soft Condensed Matter · Physics 2013-06-05 Nikolaos T. Chamakos , Michail E. Kavousanakis , Athanasios G. Papathanasiou