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We study an interacting system of $N$ classical particles on a line at thermal equilibrium. The particles are confined by a harmonic trap and repelling each other via pairwise interaction potential that behaves as a power law $\propto…

Statistical Mechanics · Physics 2019-09-10 Sanaa Agarwal , Abhishek Dhar , Manas Kulkarni , Anupam Kundu , Satya N. Majumdar , David Mukamel , Gregory Schehr

We show that observing the trajectories of confined particles in a thermal equilibrium state yields an estimate on the free-space diffusion coefficient. For generic trapping potentials and interactions between particles, the estimate comes…

Statistical Mechanics · Physics 2019-10-22 Andreas Dechant

The Casimir-Polder force between atoms or nanoparticles and graphene-coated dielectric substrates is investigated in the region of large separations. Graphene coating with any value of the energy gap and chemical potential is described in…

Quantum Physics · Physics 2023-09-04 Galina L. Klimchitskaya , Vladimir M. Mostepanenko

The hysteresis curves of systems composed of small interacting magnetic particles, regularly placed on stacked layers, are obtained with Monte Carlo simulations. The remanence as a function of temperature, in interacting systems, presents a…

Materials Science · Physics 2009-11-10 Paola R. Arias , D. Altbir , M. Bahiana

We present a theoretical analysis of the effect of dielectric confinement on the Coulomb interaction in dielectrically modulated quantum structures. We discuss the implications of the strong enhancement of the electron-hole and…

Materials Science · Physics 2009-10-31 G. Goldoni , F. Rossi , A. Orlandi , M. Rontani , F. Manghi , E. Molinari

Dispersion forces such as van der Waals forces between two microscopic particles, the Casimir--Polder forces between a particle and a macroscopic object or the Casimir force between two dielectric objects are well studied in vacuum.…

Atomic diffraction through a nanograting is a powerful tool to probe the Casimir-Polder potential. Achieving precise measurements require simulations to bridge theory and experiment. In this context, we present various approximations and…

We consider the $N$ particle classical Riesz gas confined in a one-dimensional external harmonic potential with power law interaction of the form $1/r^k$ where $r$ is the separation between particles. As special limits it contains several…

Statistical Mechanics · Physics 2022-05-17 Saikat Santra , Jitendra Kethepalli , Sanaa Agarwal , Abhishek Dhar , Manas Kulkarni , Anupam Kundu

The interaction of electrically charged particles in a dilute gas of point--like magnetic dipoles is studied. We show that the interaction potential at small distances has a linear piece due to overlap of the dipole clouds gathered near…

High Energy Physics - Theory · Physics 2009-10-31 M. N. Chernodub

We develop a discretized theory of thermal Casimir interactions to numerically calculate the interactions between fluctuating dielectrics. From a constrained partition function we derive a surface free energy, while handling divergences…

Statistical Mechanics · Physics 2009-11-13 S. Pasquali , F. Nitti , A. C. Maggs

We study the influence of the boundary conditions at the solid liquid interface on diffusion in a confined fluid. Using an hydrodynamic approach, we compute numerical estimates for the diffusion of a particle confined between two planes.…

Materials Science · Physics 2015-06-25 Anthony Saugey , Laurent Joly , Christophe Ybert , Jean-Louis Barrat , Lyderic Bocquet

The spatial suppression of order parameter fluctuations in a critical media produces Critical Casimir forces acting on confining surfaces. This scenario is realized in a critical binary mixture near the demixing transition point that…

Statistical Mechanics · Physics 2014-10-03 Oleg A. Vasilyev

The mutual electromagnetic correlations between two spatially separated systems gives rise to Casimir and Casimir-Polder effect. The corresponding forces, which are generally attractive for most vacuum-separated metallic or dielectric…

Mesoscale and Nanoscale Physics · Physics 2016-07-13 Partha Goswami

The fully retarded dispersion interaction between an atom and a cluster or between two clusters is calculated. Results obtained with two different methods are compared. One is to consider a cluster as a collection of many atoms and evaluate…

Atomic and Molecular Clusters · Physics 2009-11-11 Hye-Young Kim , Jorge O. Sofo , Darrell Velegol , Milton W. Cole

The microscopic theory of the Casimir effect in the dielectric is studied in the framework when absorption is realized via a reservoir modeled by a set of oscillators with continuously distributed frquencies with the aim to see if the…

Quantum Physics · Physics 2015-06-18 M. A. Braun

The impact of agglomeration of magnetic nanoparticles on the Casimir pressure is investigated in the configuration of two material plates and a layer of ferrofluid confined between them. Both cases of similar and dissimilar plates are…

Applied Physics · Physics 2019-07-23 G. L. Klimchitskaya , V. M. Mostepanenko , E. N. Velichko

The Casimir interactions in the solid-liquid-solid systems as a function of separation distance have been studied by the Lifshitz theory. The dielectric permittivity functions for a wide range of materials are described by Drude,…

Materials Science · Physics 2015-06-03 Anh D. Phan , N. A. Viet

We take a closer look at the fundamental Casimir-Polder interaction between quantum particles and dispersive dielectric surfaces with surface polariton or plasmon resonances. Linear response theory shows that in the near field, van der…

Atomic Physics · Physics 2015-06-11 A. Laliotis , M. Ducloy

The Casimir method for determining the dispersive force by varying zero vacuum energy fluctuations is applied to two graphene sheets in the approximation of the Drude model for surface conductivity. As an alternative, the Van Kampen…

Mesoscale and Nanoscale Physics · Physics 2025-08-26 Michael Davidovich

We study the finite temperature Casimir interaction between two concentric cylinders. When the separation between the cylinders is much smaller than the radii of the cylinders, the asymptotic expansions of the Casimir interaction are…

Quantum Physics · Physics 2015-05-30 L. P. Teo
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