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Related papers: Depletion interaction between two ellipsoids

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Based on density functional theory the influence of curvature on the depletion potential of a single big hard sphere immersed in a fluid of small hard spheres with packing fraction \eta_s either inside or outside of a hard spherical cavity…

Soft Condensed Matter · Physics 2009-10-31 R. Roth , B. G"otzelmann , S. Dietrich

The large-scale dynamics of a two-fluid system with a time dependent interaction is studied analytically and numerically. We show how a rapid transition can significantly suppress the large-scale curvature perturbation and present…

Astrophysics · Physics 2009-11-11 T. Multamaki , J. Sainio , I. Vilja

The phase separation that occurs in two-temperature mixtures, which are driven out of equilibrium at the local scale, has been thoroughly characterized, but much less is known about the depletion interactions that drive it. Using numerical…

Statistical Mechanics · Physics 2025-01-28 Pascal Damman , Vincent Démery , Guillaume Palumbo , Quentin Thomas

We introduce a general physical formulation that allows one to obtain uniquely the effectiveinteractions by contracting the bare forces, even in highly concentrated systems. We tested it bystudying depletion forces in two-dimensional binary…

We present a scaled particle density functional study of two-dimensional binary mixtures of hard convex particles with one or both species being ellipses. In particular, we divide our study into two parts. The first part is devoted to the…

Soft Condensed Matter · Physics 2022-06-07 Yuri Martinez-Raton

A density functional theory is developed for fermions in one dimension, interacting via a delta-function. Such systems provide a natural testing ground for questions of principle, as the local density approximation should work well for…

Other Condensed Matter · Physics 2007-05-23 R. J. Magyar , K. Burke

The depletion potential between two hard spheres in a solvent of thin hard disclike platelets is investigated by using either the Derjaguin approximation or density functional theory. Particular attention is paid to the density dependence…

Soft Condensed Matter · Physics 2009-11-10 L. Harnau , S. Dietrich

By splitting the Coulomb interaction into long-range and short-range components, we decompose the energy of a quantum electronic system into long-range and short-range contributions. We show that the long-range part of the energy can be…

Chemical Physics · Physics 2009-11-10 Julien Toulouse , Francois Colonna , Andreas Savin

We report a detailed study, using state-of-the-art simulation and theoretical methods, of the depletion potential between a pair of big hard spheres immersed in a reservoir of much smaller hard spheres, the size disparity being measured by…

Statistical Mechanics · Physics 2013-05-29 Douglas J. Ashton , Nigel B. Wilding , Roland Roth , Robert Evans

Much evidence has been collected to date which shows that repulsive electron-electron interaction can lead to the formation of particle pairs in a one-dimensional random energy landscape. The localization length \lambda_2 of these pair…

Disordered Systems and Neural Networks · Physics 2017-09-27 R. A. Roemer , M. Leadbeater , M. Schreiber

We investigate effective interactions between a colloidal particle, immersed in a binary mixture of smaller spheres, and a semipermeable membrane. The colloid is modeled as a big hard sphere and the membrane is represented as an infinitely…

Soft Condensed Matter · Physics 2007-05-23 Pawel Bryk

When two macromolecules come very near in a fluid, the surrounding molecules, having finite volume, are less likely to get in between. This leads to a pressure difference manifesting as an entropic attraction, called depletion force. Here…

Soft Condensed Matter · Physics 2020-02-26 Nathaniel Rupprecht , Dervis Can Vural

Within a general theoretical framework we study the effective, deformation-induced interaction between two colloidal particles trapped at a fluid interface in the regime of small deformations. In many studies, this interaction has been…

Soft Condensed Matter · Physics 2010-06-18 Alvaro Dominguez , Martin Oettel , Siegfried Dietrich

We study the correlations (and alignment as a particular case) existent between the fragments originated in a decaying process when the daughter particles interact. The interaction between the particles is modeled using the potential of…

Quantum Physics · Physics 2009-11-13 Pedro Sancho

We investigate the momentum-resolved spin and charge susceptibilities, as well as the chemical potential and double occupancy in the two-dimensional Hubbard model as functions of doping, temperature and interaction strength. Through these…

Strongly Correlated Electrons · Physics 2023-01-03 Fedor Šimkovic , Riccardo Rossi , Michel Ferrero

We present a detailed analysis of the effective force between two smooth spherical colloids floating at a fluid interface due to deformations of the interface. The results hold in general and are applicable independently of the source of…

Soft Condensed Matter · Physics 2007-05-23 M. Oettel , A. Dominguez , S. Dietrich

The rational function approximation method, density functional theory, and NVT Monte Carlo simulation are used to obtain the density profiles of multicomponent hard-sphere mixtures near a planar hard wall. Binary mixtures with a size ratio…

Statistical Mechanics · Physics 2007-06-06 Alexandr Malijevsky , Santos B. Yuste , Andres Santos , Mariano Lopez de Haro

Very recently the Wood-Saxon (WS) type interaction in the single-folding potential approach are constructed to simulate the $ \phi{\text -}\alpha $ potentials. One set of the $ \phi{\text -}\alpha $ potentials are based on the first…

Nuclear Theory · Physics 2025-06-03 Faisal Etminan

Various packing problems and simulations of hard and soft interacting particles, such as microscopic models of nematic liquid crystals, reduce to calculations of intersections and pair interactions between ellipsoids. When constrained to a…

Soft Condensed Matter · Physics 2022-10-12 Andraž Gnidovec , Anže Božič , Urška Jelerčič , Simon Čopar

The application of modern topology optimization techniques to single physics systems has seen great advances in the last three decades. However, the application of these tools to sophisticated multiphysics systems such as fluid-structure…

Numerical Analysis · Mathematics 2023-08-11 Mohamed Abdelhamid , Aleksander Czekanski