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We study a one-dimensional quantum system with an arbitrary number of hard-core particles on the lattice, which are subject to a deterministic attractive interaction as well as a random potential. Our choice of interaction is suggested by…

Mathematical Physics · Physics 2017-06-22 Vincent Beaud , Simone Warzel

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

Effective electrostatic interactions between colloidal particles, coated with polyelectrolyte brushes and suspended in an electrolyte solvent, are described via linear response theory. The inner cores of the macroions are modeled as hard…

Soft Condensed Matter · Physics 2009-11-10 Hao Wang , Alan R. Denton

We have measured equilibrium sedimentation profiles in a colloidal model system with confocal microscopy. By tuning the interactions, we have determined the gravitational length in the limit of hard-sphere-like interactions, and using the…

Soft Condensed Matter · Physics 2009-11-10 C. P. Royall , R. van Roij , A. van Blaaderen

The description of dispersion forces within the framework of macroscopic quantum electrodynamics in linear, dispersing, and absorbing media combines the benefits of approaches based on normal-mode techniques of standard quantum…

Quantum Physics · Physics 2010-01-04 Stefan Yoshi Buhmann , Dirk-Gunnar Welsch

A system of interacting Brownian particles subject to short-range repulsive potentials is considered. A continuum description in the form of a nonlinear diffusion equation is derived systematically in the dilute limit using the method of…

Statistical Mechanics · Physics 2017-10-12 Maria Bruna , S. Jonathan Chapman , Martin Robinson

We derive a hydrodynamic model for the motion of inertial particles with a spherical hard core, interacting through lubrication forces and pairwise repulsive forces. The repulsion arises from the assumption that each particle is surrounded…

Analysis of PDEs · Mathematics 2026-01-21 Aline Lefebvre-Lepot , Muhammed Ali Mehmood , Charlotte Perrin , Ewelina Zatorska

Within the framework of a Modified Poisson-Boltzmann theory accounting for steric effects of microions, we prove analytically that the effective pair interactions between like-charge colloids immersed in a confined electrolyte are…

Soft Condensed Matter · Physics 2009-10-31 E. Trizac , J-L Raimbault

We apply the general results of the kinetic theory of systems with long-range interactions to particular systems of physical interest. We consider repulsive and attractive power-law potentials of interaction r^{-\gamma} with \gamma<d in a…

Statistical Mechanics · Physics 2013-11-12 Pierre-Henri Chavanis

In this paper we survey the effects of residual long-range forces associated to $\gamma_5$-spin dependent-couplings of fermions to massless bosons exerted by unpolarised bulk matter over macroscopic distances. We establish that such forces…

High Energy Physics - Phenomenology · Physics 2010-11-01 J. A. Grifols , S. Tortosa

In mixtures of colloids and nonadsorbing polyelectrolytes, a Donnan potential arises across the region between surfaces that are depleted of polyelectrolyte and the rest of the system. This Donnan potential tends to shift the…

Soft Condensed Matter · Physics 2022-10-27 Jasper Landman , Max P. M. Schelling , Remco Tuinier , Mark Vis

Using molecular dynamics (MD) simulations we study the interactions between elongated colloidal particles (length to breath ratio > 1) in a nematic host. The simulation results are compared to the results of a Landau-de Gennes elastic free…

Soft Condensed Matter · Physics 2009-11-10 D. Andrienko , M. Tasinkevych , P. Patricio , M. P. Allen , M. M. Telo da Gama

While the breakdown of the perturbation expansion for the many-electron problem has several formal consequences, here we unveil its physical effect: Flipping the sign of the effective electronic interaction in specific scattering channels.…

Strongly Correlated Electrons · Physics 2020-11-06 M. Reitner , P. Chalupa , L. Del Re , D. Springer , S. Ciuchi , G. Sangiovanni , A. Toschi

The existence of attractions between like-charged colloids immersed in ionic solution have been discovered in recent experiments. This phenomenon contradicts the predictions of DLVO theory and indicates a failure of mean field theory. We…

Soft Condensed Matter · Physics 2009-10-31 Ning Ma , S. M. Girvin , R. Rajaraman

The recently developed modified Donnan (mD) model provides a simple and useful description of the electrical double layer in microporous carbon electrodes, suitable for incorporation in porous electrode theory. By postulating an attractive…

Chemical Physics · Physics 2014-01-22 P. M. Biesheuvel , S. Porada , M. Levi , M. Z. Bazant

We develop a phenomenological vector model of polar liquids capable to describe aqueous interactions of macroscopic bodies. It is shown that a strong, long-range and orientationally dependent interaction between macroscopic objects appears…

Soft Condensed Matter · Physics 2007-05-23 P. O. Fedichev , L. I. Men'shikov

We investigate the interaction between highly charged lipid bilayers in the presence of monovalent counterions. Neutron and X-ray reflectivity experiments show that the water layer between like-charged bilayers is thinner than for…

Long-range exchange and correlation effects, responsible for the failure of currently used approximate density functionals in describing van der Waals forces, are taken into account explicitly after a separation of the electron-electron…

Materials Science · Physics 2009-11-11 Janos G. Angyan , Iann C. Gerber , Andreas Savin , Julien Toulouse

Simulation studies of the phase diagram of repulsive active Brownian particles in three dimensions reveal that the region of motility-induced phase separation between a high and low density phase is enclosed by a region of gas-crystal phase…

Statistical Mechanics · Physics 2021-01-27 Francesco Turci , Nigel B. Wilding

We analyze free energy functionals for macroscopic models of multi-agent systems interacting via pairwise attractive forces and localized repulsion. The repulsion at the level of the continuous description is modeled by pressure-related…

Analysis of PDEs · Mathematics 2018-12-18 J. A. Carrillo , M. G. Delgadino , F. S. Patacchini