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We apply general variational techniques to the problem of the counterion distribution around highly charged objects where strong condensation of counterions takes place. Within a field-theoretic formulation using a fluctuating electrostatic…

Soft Condensed Matter · Physics 2009-11-07 Roland R. Netz , Henri Orland

Several statistical mechanical theories predict that colloidal suspensions of highly charged macroions and monovalent microions can exhibit unusual thermodynamic phase behavior when strongly deionized. Density-functional, extended…

Soft Condensed Matter · Physics 2009-11-11 A. R. Denton

Phase separation in charged systems may involve the replacement of critical points by microphase separated states, or charge-density-wave states. A density functional theory for highly charged colloids at low ionic strength is developed to…

Soft Condensed Matter · Physics 2007-05-23 Patrick B. Warren

Surface effects are generally prevailing in confined colloidal systems. Here we report on dispersed nanoparticles close to a fluid membrane. Exact results regarding the static organization are derived for a dilute solution of non-adhesive…

Statistical Mechanics · Physics 2009-11-10 Thomas Bickel , Mabrouk Benhamou , Hamid Kaidi

We consider an electrolyte solution confined by semipermeable membranes in contact with a salt-free solvent. Membranes are uncharged, but since small counter-ions leak-out into infinite salt-free reservoirs, we observe a distance-dependent…

Soft Condensed Matter · Physics 2014-08-19 Salim R. Maduar , Olga I. Vinogradova

The equilibrium phase behaviour of hard spheres with size polydispersity is studied theoretically. We solve numerically the exact phase equilibrium equations that result from accurate free energy expressions for the fluid and solid phases,…

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

We present a theory that enables us to calculate the effective surface charge of colloidal particles and to efficiently obtain titration curves for different salt concentrations. The theory accounts for the shift of pH of solution due to…

Soft Condensed Matter · Physics 2022-11-01 Amin Bakhshandeh , Derek Frydel , Yan Levin

Spatially uniform electric fields have been used to induce instabilities in liquids and polymers, and to orient and deform ordered phases of block-copolymers. Here we discuss the demixing phase transition occurring in liquid mixtures when…

Statistical Mechanics · Physics 2015-05-13 G. Marcus , Y. Tsori

Molecular dynamics (MD) simulations are used to determine the diffusion coefficients, electrophoretic mobilities and electrical conductivity of a charged colloidal suspension in the salt-free regime as a function of the colloid charge. The…

Soft Condensed Matter · Physics 2010-12-16 Sorin Bastea

We study electrostatic mechanisms of destabilization of highly asymmetric electrolytes. For this purpose, we perform primitive model Monte Carlo simulations of charged macroions immersed in multivalent salt solution. At low salt…

Soft Condensed Matter · Physics 2007-06-20 Vladimir Lobaskin , Khawla Qamhieh

Colloidal particles are often seen as big atoms that can be directly observed in real space. They are therefore playing an increasingly important role as model systems to study processes of interest in condensed matter physics such as…

We calculate the ion and composition distributions around colloid particles in an aqueous mixture, accounting for preferential adsorption, electrostatic interaction, selective solvation among ions and polar molecules, and…

Soft Condensed Matter · Physics 2011-11-04 Ryuichi Okamoto , Akira Onuki

Phase separation in salt-free symmetric mixtures of oppositely charged rodlike polyelectrolytes is studied using quasi-analytical calculations. Stability analyses for the isotropic-isotropic and the isotropic-nematic phase transitions in…

Soft Condensed Matter · Physics 2010-07-20 Rajeev Kumar , Debra Audus , Glenn H. Fredrickson

We study low-salt, binary aqueous suspensions of charged colloidal spheres of size ratio Phi = 0.57, number densities below the eutectic number density n_E, and number fractions of p = 1.00-0.40. The typical phase obtained by solidification…

Soft Condensed Matter · Physics 2023-03-29 Nina Lorenz , Ishan Gupta , Thomas Palberg

We show how the stability conditions for a system of interacting fermions that conventionally involve variations of thermodynamic potentials can be rewritten in terms of one- and two-particle correlators. We illustrate the applicability of…

Strongly Correlated Electrons · Physics 2024-08-09 A. Kowalski , M. Reitner , L. Del Re , M. Chatzieleftheriou , A. Amaricci , A. Toschi , L. de' Medici , G. Sangiovanni , T. Schäfer

In this paper, some equations are derived to describe the out-of-equilibrium thermodynamics of colloidal suspensions. These results are obtained assuming that the properties of the colloids essentially come from their surfaces which are…

Soft Condensed Matter · Physics 2013-03-29 Pierre de Thier

Existence, uniqueness and stability of solutions is studied for a set of nonlinear fixed point equations which define self-consistent hydrostatic equilibria of a classical continuum fluid that is confined inside a container and in contact…

Mathematical Physics · Physics 2015-05-14 Michael K. -H. Kiessling , Jerome K. Percus

We numerically investigate the competition between phase separation and dynamical arrest in a colloidal system interacting via a short ranged attractive potential. Equilibrium fluid configurations are quenched at two different temperatures…

Soft Condensed Matter · Physics 2007-05-23 G. Foffi , C. De Michele , F. Sciortino , P. Tartaglia

We study the phase behavior of hard spheres confined between two parallel hard plates using extensive computer simulations. We determine the full equilibrium phase diagram for arbitrary densities and plate separations from one to five…

Soft Condensed Matter · Physics 2009-11-11 Andrea Fortini , Marjolein Dijkstra

We study the steady state resulting from instabilities in crystals driven through a dissipative medium, for instance, a colloidal crystal which is steadily sedimenting through a viscous fluid. The problem involves two coupled fields, the…

Statistical Mechanics · Physics 2009-10-31 Rangan Lahiri , Mustansir Barma , Sriram Ramaswamy