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Various types of equilibrium processes involve electric fields. In some cases, the electrical energy appears to be negative (e.g. if the voltage is fixed by an external source). This paper explains how to derive the correct thermo-dynamic…

Classical Physics · Physics 2018-03-23 Shawn W. Walker

We present approximate methods for calculating the three-dimensional electric potentials of finite surface electrodes including gaps between electrodes, and estimate the effects of finite electrode thickness and an underlying dielectric…

Quantum Physics · Physics 2010-02-27 Roman Schmied

The response of hadrons to electromagnetic probes is highly constrained by chiral dynamics; but, in some cases, predictions have not compared well with experimental data. The lattice can be used to test the chiral electromagnetism of…

High Energy Physics - Lattice · Physics 2010-01-21 William Detmold , Brian C. Tiburzi , Andre Walker-Loud

We discuss theoretical predictions for the thermal Casimir force and compare them with available experimental data. Special attention is paid to the recent claim of the observation of that effect, as predicted by the Drude model approach.…

Quantum Physics · Physics 2015-05-30 G. L. Klimchitskaya , M. Bordag , E. Fischbach , D. Krause , V. M. Mostepanenko

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 Casimir interaction between a cylinder and a hollow cylinder, both conducting, with parallel axis and slightly different radii. The Casimir force, which vanishes in the coaxial situation, is evaluated for both small and…

We consider the one dimensional space-periodic Vlasov-Poisson equations and construct, close to symmetric flat velocity strips, small amplitude traveling quasi-periodic electron-layers, namely strip-shaped patches of electrons in the phase…

Analysis of PDEs · Mathematics 2026-05-26 Luca Franzoi , Emeric Roulley

Light-matter interaction models invariably rely on the multipole expansion of the electromagnetic potentials generated by complex charge distributions. These multipoles are typically taken to be traceless, however, for a correct evaluation…

Quantum Physics · Physics 2025-08-22 Jivesh Kaushal , Chris Boldt , Stefan Scheel , Athanasios Laliotis , Paolo Pedri

The Casimir-Polder (CP) effect -- the force between a neutral atom and an uncharged conducting plate in empty space -- is an intriguing consequence of quantum vacuum fluctuations. The typically attractive CP potential crosses over from a…

Quantum Physics · Physics 2026-04-17 K. Ton , G. Kestler , D. A. Steck , J. T. Barreiro

Quantum effects at the nanometric level have been observed in many confined structures, and particularly in semiconductor quantum dots (QDs). In this work, we propose a theoretical improvement of the so-called effective mass approximation…

Mesoscale and Nanoscale Physics · Physics 2012-03-01 Baptiste Billaud , T. T. Truong

We evaluate the renormalized vacuum expectation values (VEVs) of electric and magnetic fields squared and the energy-momentum tensor for the electromagnetic field in the geometry of two parallel conducting plates on background of cosmic…

High Energy Physics - Theory · Physics 2012-09-06 E. R. Bezerra de Mello , A. A. Saharian , A. Kh. Grigoryan

The Casimir Effect is a physical manifestation of quantum fluctuations of the electromagnetic vacuum. When two metal plates are placed closely together, typically much less than a micron, the long wavelength modes between them are frozen…

Applied Physics · Physics 2018-10-23 Alexander Stange , Matthias Imboden , Josh Javor , Lawrence K. Barrett , David J. Bishop

In this study, we derive the asymptotic expressions for the electrostatic force between two charged spherical conductors in an electric field. Davis \cite{davis1964two} initially provided an expression for these forces, which are split into…

Mathematical Physics · Physics 2024-10-01 Natarajan Thiruvenkadam , Vishwanath Kadaba Puttanna

After a review of the standard calculation of the Casimir force between two metallic plates at zero and non-zero temperatures, we present the study of microscopic models to determine the large-distance asymptotic force in the…

Statistical Mechanics · Physics 2011-11-09 Ph. A. Martin , P. R. Buenzli

We theoretically investigate Rydberg atom pair potentials of Rb atoms in front of a perfectly conducting plate. The pair potentials are perturbed by both the Casimir--Polder potential acting on a single atom and the scattering contribution…

Atomic Physics · Physics 2019-12-18 Johannes Block , Stefan Scheel

We consider the energy shift for an atom close to a non-magnetic body with a magnetic moment coupled to a quantized magnetic field. The corresponding repulsive Casimir-Polder force is obtained for a perfect conductor, a metal, a dielectric…

Quantum Physics · Physics 2009-09-05 Bo-Sture Skagerstam , Per Kristian Rekdal , Asle Heide Vaskinn

We study the critical Casimir interaction between two spherical colloids immersed in a binary liquid mixture close to its critical demixing point. The surface of each colloid prefers one species of the mixture with the exception of a…

Statistical Mechanics · Physics 2020-04-22 Nima Farahmand Bafi , Piotr Nowakowski , Siegfried Dietrich

Two main approaches in particle-based simulations for modeling a charged surface are using explicit, discrete charges and continuum, uniform charges. It is well-known that these two approaches could lead to substantially distinct ionic…

Soft Condensed Matter · Physics 2022-08-02 Jiaxing Yuan , Yanwei Wang

The Casimir-Polder-Lifshitz force felt by an atom near the surface of a substrate is calculated out of thermal equilibrium in terms of the dielectric function of the material and of the atomic polarizability. The new force decays like…

Statistical Mechanics · Physics 2007-05-23 Mauro Antezza , Lev P. Pitaevskii , Sandro Stringari

Understanding the electrodes' surface morphology influence on the ions' distribution is essential for designing the supercapacitors with enhanced energy density characteristics. We develop a model for the structure of electrolytes near the…

Statistical Mechanics · Physics 2021-06-30 Timur Aslyamov , Konstantin Sinkov , Iskander Akhatov