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We establish, as $\rho\to 0$, an asymptotic expansion for the minimal Dirichlet energy of $\mathbb S^2$-valued maps outside a finite number of three-dimensional particles of size $\rho$ with fixed centers $x_j\in\mathbb{R}^3$, under general…

Analysis of PDEs · Mathematics 2025-01-27 Lia Bronsard , Xavier Lamy , Dominik Stantejsky , Raghavendra Venkatraman

We study the behaviour of catalytically active droplets in multi-component conserved mixtures affected by noise. Working in the thin interface limit, we analytically determine the state diagram of the system, characterized by multiple…

Soft Condensed Matter · Physics 2025-12-01 Jacopo Romano , Martin Kjøllesdal Johnsrud , Benoît Mahault , Ramin Golestanian

Clusters of spherical particles with isotropic attraction favour compact structures that maximise the number of energetically optimal nearest-neighbour interactions. In contrast, dipolar interactions lead to the formation of chains with a…

The past two decades have seen a remarkable progress in the development of synthetic colloidal agents which are capable of creating directed motion in an unbiased environment at the microscale. These self-propelling particles are often…

Soft Condensed Matter · Physics 2023-02-10 Benno Liebchen , Aritra K. Mukhopadhyay

The phase behavior of charge-stabilized colloidal suspensions is modeled by a combination of response theory for electrostatic interparticle interactions and variational theory for free energies. Integrating out degrees of freedom of the…

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

We have performed a case study investigating a recently proposed scheme to obtain an effective pair potential for active Brownian particles [Farage et al., Phys. Rev. E 91, 042310 (2015)]. Applying this scheme to the Lennard-Jones…

Statistical Mechanics · Physics 2017-01-05 Markus Rein , Thomas Speck

Charged colloidal particles trapped at an air--water interface are well known to form an ordered crystal, stabilized by a long ranged repulsion, the details of this repulsion remain something of a mystery, but all experiments performed to…

Soft Condensed Matter · Physics 2016-12-22 Duck-Gyu Lee , Pietro Cicuta , Dominic Vella

We consider a system of two interacting particles with like but unequal charges in a magnetic field in the planar geometry. We construct a complete basis of states compatible with both the axial symmetry and magnetic translations. The basis…

Mesoscale and Nanoscale Physics · Physics 2007-06-12 A. B. Dzyubenko , A. R. Todd

We investigate the equilibrium properties of a colloidal solution in contact with a soft interface. As a result of symmetry breaking, surface effects are generally prevailing in confined colloidal systems. In this Letter, particular…

Statistical Mechanics · Physics 2015-06-24 Hamid Kaidi , Thomas Bickel , Mabrouk Benhamou

We study nano-sized spherically symmetric plasma structures which are radial nonlinear oscillations of electrons in plasma. The effective interaction of these plasmoids via quantum exchange forces between ions is described. We calculate the…

Plasma Physics · Physics 2012-09-11 Maxim Dvornikov

We study the interactions between two negatively charged macroscopic surfaces confining positive counterions. A density-functional approach is introduced which, besides the usual mean-field interactions, takes into account the correlations…

Soft Condensed Matter · Physics 2015-06-25 A. Diehl , M. N. Tamashiro , Marcia C. Barbosa , Yan Levin

Entropic forces in colloidal suspensions and in polymer-colloid systems are of long-standing and continuing interest. Experiments show how entropic forces can be used to control the self-assembly of colloidal particles. Significant advances…

Soft Condensed Matter · Physics 2014-10-17 A. Scala , P. G. De Sanctis Lucentini

Charge-stabilized colloidal suspensions display a rich variety of microstructural and thermodynamic properties, which are determined by electro-steric interactions between all ionic species. The large size asymmetry between molecular-scale…

Soft Condensed Matter · Physics 2023-12-18 Mariano E. Brito , Gerhard Nägele , Alan R. Denton

While colloids are promising building blocks for the self-assembly of materials with novel microstructures, their numerous tunable parameters inhibit brute force searching for appropriate parameter combinations that yield self-assembly of a…

Soft Condensed Matter · Physics 2020-03-13 Beth A Lindquist

In this work, we explore the statistical physics of colloidal particles that interact with electrolytes via ion-specific interactions. Firstly we study particles interact weakly with electrolyte using linear response theory. We find that…

Soft Condensed Matter · Physics 2016-10-12 Mingnan Ding , Yihao Liang , Xiangjun Xing

The present review summarizes and assesses recent theoretical and experimental advances, with special emphasis on the effective interaction between charge-stabilized colloids, in the bulk or in confined geometries, and on the ambiguities of…

Soft Condensed Matter · Physics 2015-06-24 J. -P. Hansen , H. Lowen

We demonstrate that Widom's particle insertion technique provides a convenient and efficient method to determine the effective pair interaction between complex, composite soft-matter particles in the zero-density limit. By means of three…

Soft Condensed Matter · Physics 2010-11-15 Bianca M. Mladek , Daan Frenkel

We study hydrodynamic interactions of spherical particles in incident Poiseuille flow in a channel with infinite planar walls. The particles are suspended in a Newtonian fluid, and creeping-flow conditions are assumed. Numerical results,…

Soft Condensed Matter · Physics 2009-11-11 S. Bhattacharya , J. Blawzdziewicz , E. Wajnryb

Creating materials with structure that is independently controllable at a range of scales requires breaking naturally occurring hierarchies. Breaking these hierarchies can be achieved via the decoupling of building block attributes from…

Soft Condensed Matter · Physics 2022-07-04 Lucia Baldauf , Erin G. Teich , Peter Schall , Greg van Anders , Laura Rossi

We investigate the dynamics of colloids at a fluid interface driven by attractive capillary interactions. At submillimeter length scales, the capillary attraction is formally analogous to two-dimensional gravity. In particular it is a…

Soft Condensed Matter · Physics 2010-07-27 Alvaro Dominguez , Martin Oettel , S. Dietrich
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