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Two thin conducting, electrically neutral, parallel plates forming an isolated system in vacuum exert attracting force on each other, whose origin is the quantum electrodynamical interaction. This theoretical hypothesis, known as Casimir…

High Energy Physics - Theory · Physics 2007-05-23 Andrzej Herdegen

We present the first application of phase field modeling to electrochemistry. A free energy functional that includes the electrostatic effect of charged particles leads to rich interactions between concentration, electrostatic potential,…

Materials Science · Physics 2007-05-23 J. E. Guyer , W. J. Boettinger , J. A. Warren , G. B. McFadden

We present an overview of the validity of the Proximity Force Approximation (PFA) in the calculation of Casimir forces between perfect conductors for different geometries, with particular emphasis for the configuration of a cylinder in…

Quantum Physics · Physics 2015-05-13 Francisco D. Mazzitelli , Fernando C. Lombardo , Paula I. Villar

Mesoscopic particles immersed in a critical fluid experience long-range Casimir forces due to critical fluctuations. Using field theoretical methods, we investigate the Casimir interaction between two spherical particles and between a…

Condensed Matter · Physics 2009-10-28 E. Eisenriegler , U. Ritschel

We give an exact series expansion of the Casimir force between plane and spherical metallic surfaces in the non trivial situation where the sphere radius $R$, the plane-sphere distance $L$ and the plasma wavelength $\lambda_\P$ have…

Casimir force searches provide among the most sensitive laboratory probes of new short range interactions. Existing constraints rely almost exclusively on a single geometry. We show that Casimir geometry constitutes an independent…

High Energy Physics - Phenomenology · Physics 2026-03-25 Xiaolin Ma , Volodymyr Takhistov , Hideo Iizuka

In this article, we measure the viscous damping $G'',$ and the associated stiffness $G',$ of a liquid flow in sphere-plane geometry in a large frequency range. In this regime, the lubrication approximation is expected to dominate. We first…

Fluid Dynamics · Physics 2015-05-26 Simon Carpentier , Mario S. Rodrigues , Elisabeth Charlaix , Joel Chevrier

We propose two novel experiments on the measurement of the Casimir force acting between a gold coated sphere and semiconductor plates with markedly different charge carrier densities. In the first of these experiments a patterned Si plate…

We compute the Casimir interaction energy between two perfectly conducting, concentric cylinders, using the mode-by-mode summation technique. Then we compare it with the approximate results obtained using the proximity theorem and a…

Quantum Physics · Physics 2007-05-23 Francisco D. Mazzitelli

We calculate the Casimir force in the non-retarded limit between a spherical nanoparticle and a substrate, and we found that high-multipolar contributions are very important when the sphere is very close to the substrate. We show that the…

Quantum Physics · Physics 2007-05-23 C. E. Román-Velázquez , Cecilia Noguez , C. Villarreal , R. esquivel-Sirvent

The lateral Casimir-Polder force between an atom and a corrugated surface should allow one to study experimentally non trivial geometrical effects in quantum vacuum. Here, we derive the theoretical expression of this force in a scattering…

Quantum Physics · Physics 2009-11-13 Diego A. R. Dalvit , Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud

In this thesis we study the lateral electrostatic interaction between a pair of non-identical, moderately charged colloidal particles trapped at an electrolyte interface in the limit of short inter-particle separations. Using a simplified…

Soft Condensed Matter · Physics 2017-10-17 Timo Schmetzer

When time-reversal symmetry is broken on its surface, topological insulators exhibit a magnetoelectric response which is described by axion electrodynamics. A direct consequence of this theory is the appearance of a magnetic field that…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 A. Martín-Ruiz , Omar Rodríguez-Tzompantzi , J. R. Maze , L. F. Urrutia

We performed measurements of the gradient of the Casimir force between Au-coated surfaces of a sphere and a plate by means of significantly upgraded dynamic atomic force microscope (AFM) based technique. By introducing combined cleaning…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Mingyue Liu , Jun Xu , G. L. Klimchitskaya , V. M. Mostepanenko , U. Mohideen

We present results on the determination of the differential Casimir force between an Au-coated sapphire sphere and the top and bottom of Au-coated deep silicon trenches performed by means of the micromechanical torsional oscillator in the…

Electrostatic polarization is important in many nano-/micro-scale physical systems such as colloidal suspensions, biopolymers, and nanomaterials assembly. The calculation of polarization potential requires an efficient algorithm for solving…

Soft Condensed Matter · Physics 2015-06-11 Zhenli Xu

We study the Casimir interaction in the plane-sphere geometry in the classical limit of high temperatures. In this limit, the finite conductivity of the metallic plates needs to be taken into account. For the Drude model, the classical…

Building on work of Meixner [J. Meixner, Z. Naturforschung 3a, 506 (1948)], we show how to compute the exact scattering amplitude (or $T$-matrix) for electromagnetic scattering from a perfectly conducting disk. This calculation is a rare…

Quantum Physics · Physics 2016-09-21 Thorsten Emig , Noah Graham

We propose an approach for investigation of interaction of thin material films with quantum electrodynamic fields. Using main principles of quantum electrodynamics (locality, gauge invariance, renormalizability) we construct a single model…

High Energy Physics - Theory · Physics 2007-05-23 V. N. Markov , Yu. M. Pis'mak

Several experimental demonstrations of the Casimir force between two closely spaced bodies have been realized over the past two decades. Extending the theory to incorporate the behavior of the force between two superconducting films close…

Quantum Physics · Physics 2018-07-23 Richard A. Norte , Moritz Forsch , Andreas Wallucks , Igor Marinkovic , Simon Gröblacher