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We apply a simple dynamical density functional theory, the phase-field-crystal (PFC) model, to describe homogeneous and heterogeneous crystal nucleation in 2d monodisperse colloidal systems and crystal nucleation in highly compressed Fe…

Materials Science · Physics 2015-05-18 László Gránásy , György Tegze , Gyula I. Tóth , Tamás Pusztai

Based on geometric phases of Bloch electrons computed from first-principles, we propose a scheme for unambiguous partitioning of charge in matter, derivable directly from the Kohn-Sham states. Generalizing the fact that geometric phases…

Other Condensed Matter · Physics 2024-07-25 Joyeta Saha , Sujith Nedungattil Subrahmanian , Joydeep Bhattacharjee

We investigate the structural and thermodynamic properties of a new class of patchy colloids, referred to as inverse patchy colloids (IPCs) in their fluid phase via both theoretical methods and simulations. IPCs are nano- or micro- meter…

Soft Condensed Matter · Physics 2015-06-23 Yurij V. Kalyuzhnyi , Emanuela Bianchi , Silvano Ferrari , Gerhard Kahl

A theoretical model of vapor-liquid phase transition in a system of charged hard cores of different diameters is suggested (with the parameters of the transition obtained in a number of studies using the Monte Carlo method). The model is…

Plasma Physics · Physics 2007-05-23 A. L. Khomkin , I. A. Mulenko

Suspended microparticles subjected to AC electrical fields collectively organize into band patterns perpendicular to the field direction. The bands further develop into zigzag shaped patterns, in which the particles are observed to…

Soft Condensed Matter · Physics 2022-02-16 Florian Katzmeier , Bernhard Altaner , Jonathan List , Ulrich Gerland , Friedrich C. Simmel

Screening of a macroion by multivalent counterions is considered. It is shown that ions form strongly correlated liquid at the macroion surface. Cohesive energy of this liquid leads to strong additional attraction of counterions to the…

Soft Condensed Matter · Physics 2009-10-31 V. I. Perel , B. I. Shklovskii

We investigate a double-layer of penetrable ions near a charged wall. We find a new mechanism for charge reversal that occurs in the weak-coupling regime and, accordingly, the system is suitable for the mean-field analysis. The…

Soft Condensed Matter · Physics 2013-05-06 Derek Frydel , Yan Levin

Phase transformations can be difficult to characterize at the microscopic level due to the inability to directly observe individual atomic motions. Model colloidal systems, by contrast, permit the direct observation of individual particle…

Soft Condensed Matter · Physics 2015-04-21 Ye Yang , Lin Fu , Catherine Marcoux , Joshua E. S. Socolar , Patrick Charbonneau , Benjamin B. Yellen

Colloid models have frequently been used to successfully describe the influence of protein-protein interactions on antibody solution properties, but they suffer from inherent problems due to the anisotropic shape of the particles. The net…

We have measured the phase behavior of a binary mixture of like-charged colloidal spheres with a size ratio of 0.9 and a charge ratio of 0.96 as a function of particle number density n and composition p. Under exhaustively deionized…

Soft Condensed Matter · Physics 2011-04-05 Nina J. Lorenz , Thomas Palberg

While analyzing mobile systems we often approximate the actual coverage surface and assume an ideal cell shape. In a multi-cellular network, because of its tessellating nature, a hexagon is more preferred than a circular geometry. Despite…

Information Theory · Computer Science 2013-06-04 Mouhamed Abdulla , Yousef R. Shayan

In conventional gauge theory, a charged point particle is described by a representation of the gauge group. If we propagate the particle along some path, the parallel transport of the gauge connection acts on this representation. The…

High Energy Physics - Theory · Physics 2008-11-26 Hendryk Pfeiffer

We consider spherically symmetric, asymptotically flat space-times with a collisionless gas as matter model. Many properties of the resulting Vlasov-Einstein system are not yet accessible by purely analytical means. We present a discretized…

Numerical Analysis · Mathematics 2025-10-20 Gerhard Rein , Thomas Rodewis

We report here new electrical laws, derived from nonlinear electro-diffusion theory, about the effect of the local geometrical structure, such as curvature, on the electrical properties of a cell. We adopt the Poisson-Nernst-Planck (PNP)…

Subcellular Processes · Quantitative Biology 2017-11-22 Jerome Cartailler , Zeev Schuss , David Holcman

We study a model Coulomb fluid consisting of dipolar solvent molecules of finite extent generalizing the point-like Dipolar Poisson-Boltzmann model (DPB) previously introduced by Coalson and Duncan (J. Phys. Chem 100, 2612 (1996)) and…

Soft Condensed Matter · Physics 2014-06-18 Sahin Buyukdagli , Ralf Blossey

We model charged colloidal suspensions using an analogy with foams. We study the solid--solid phase transitions of these systems as a function of particle volume-fraction and ionic strength. The screened Coulomb interaction is replaced by…

Soft Condensed Matter · Physics 2009-11-07 W. Kung , P. Ziherl , R. D. Kamien

A phase-field model for two-phase immiscible, incompressible porous media flow with surface tension effects is considered. The pore-scale model consists of a strongly coupled system of Stokes-Cahn-Hilliard equations. The fluids are…

Analysis of PDEs · Mathematics 2023-01-25 Nitu Lakhmara , Hari Shankar Mahato

The motion of ionic solutes and charged particles under the influence of an electric field and the ensuing hydrodynamic flow of the underlying solvent is ubiquitous in aqueous colloidal suspensions. The physics of such systems is described…

Using a generalized order parameter gradient expansion within density functional theory, we derive a phase-field-crystal model for liquid crystals composed by apolar particles in three spatial dimensions. Both the translational density and…

Soft Condensed Matter · Physics 2014-01-28 Raphael Wittkowski , Hartmut Löwen , Helmut R. Brand

In this paper we propose a nonlinear elasticity model of macromolecular conformational change (deformation) induced by electrostatic forces generated by an implicit solvation model. The Poisson-Boltzmann equation for the electrostatic…

Analysis of PDEs · Mathematics 2010-01-12 Yongcheng Zhou , Michael Holst , James Andrew McCammon
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