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We calculate the Casimir force or dispersive van der Waals force between a spherical nanoparticle and a planar substrate, both with arbitrary dielectric properties. We show that the force between a sphere and a plane can be calculated…

其他凝聚态物理 · 物理学 2007-05-23 Cecilia Noguez , C. Roman-Velazquez

The retarded van-der-Waals potential, as first obtained by Casimir and Polder, is usually computed on the basis of nonrelativistic QED. The hamiltonian describes two infinitely heavy nuclei, charge $e$, separated by a distance $R$ and two…

数学物理 · 物理学 2009-01-26 Tadahiro Miyao , Herbert Spohn

Casimir friction is analyzed for a pair of dielectric particles in relative motion. We first adopt a microscopic model for harmonically oscillating particles at finite temperature T moving non-relativistically with constant velocity. We use…

量子物理 · 物理学 2014-01-28 Johan S. Høye , Iver Brevik

We find the exact Casimir force between a plate and a cylinder, a geometry intermediate between parallel plates, where the force is known exactly, and the plate--sphere, where it is known at large separations. The force has an unexpectedly…

统计力学 · 物理学 2009-11-11 T. Emig , R. L. Jaffe , M. Kardar , A. Scardicchio

We demonstrate that soliton-plasmon bound states appear naturally as propagating eigenmodes of nonlinear Maxwell's equations for a metal/dielectric/Kerr interface. By means of a variational method, we give an explicit and simplified…

We study a phase-field variational model for the solvaiton of charged molecules with an implicit solvent. The solvation free-energy functional of all phase fields consists of the surface energy, solute excluded volume and solute-solvent van…

偏微分方程分析 · 数学 2022-11-01 Shibin Dai , Bo Li , Jianfeng Lu

Casimir interactions between macroscopic objects are strongly influenced by their geometrical features as shape and orientation as well as by their material properties. The effect of geometry is commonly obtained from the proximity…

统计力学 · 物理学 2007-05-23 Thorsten Emig

Two-point functions, the mean field squared and the vacuum expectation value (VEV) of the energy-momentum tensor are investigated for the electromagnetic field in the geometry of parallel plates on background of $(D+1)$% -dimensional dS…

高能物理 - 理论 · 物理学 2015-05-28 A. S. Kotanjyan , A. A. Saharian , H. A. Nersisyan

It has been known that the Lifshitz theory of the Casimir force comes into conflict with the measurement data if the response of conduction electrons in metals to electromagnetic fluctuations is described by the well tested dissipative…

量子物理 · 物理学 2022-01-07 G. L. Klimchitskaya , V. M. Mostepanenko

We consider the the van der Waals force involving excited atoms in general environments, constituted by magnetodielectric bodies. We develop a dynamical approach studying the dynamics of the atoms and the field, mutually coupled. When only…

量子物理 · 物理学 2017-02-24 Pablo Barcellona , Roberto Passante , Lucia Rizzuto , Stefan Yoshi Buhmann

Vacuum expectation values of the energy-momentum tensor and the Casimir forces are evaluated for scalar and electromagnetic fields in the geometry of two curved boundaries on background of the Robertson-Walker spacetime with negative…

高能物理 - 理论 · 物理学 2010-11-12 A. A. Saharian , M. R. Setare

We derive the fully retarded energy shift of a neutral atom in two different geometries useful for modelling etched microstructures. First we calculate the energy shift due to a reflecting cylindrical wire, and then we work out the energy…

量子物理 · 物理学 2009-12-07 Claudia Eberlein , Robert Zietal

We calculate exactly the Casimir force or dispersive force, in the non-retarded limit, between a spherical nanoparticle and a substrate beyond the London's or dipolar approximation. We find that the force is a non-monotonic function of the…

When the vacuum is partitioned by material boundaries with arbitrary shape, one can define the zero-point energy and the free energy of the electromagnetic waves in it: this can be done, independently of the nature of the boundaries, in the…

量子物理 · 物理学 2007-05-23 Roger Balian , Bertrand Duplantier

We calculate the van der Waals friction between two semi-infinite solids in normal relative motion and find a drastic difference in comparison with the parallel relative motion. The case of the good conductors is investigated in details…

材料科学 · 物理学 2009-11-11 A. I. Volokitin , B. N. J. Persson

We derive the force of the electromagnetic radiation on material objects by a direct application of the Lorentz law of classical electro-dynamics. The derivation is straightforward in the case of solid metals and solid dielectrics, where…

光学 · 物理学 2013-12-12 Masud Mansuripur

We study the electrostatic Casimir effect and related phenomena in equilibrium statistical mechanics of classical (non-quantum) charged fluids. The prototype model consists of two identical dielectric slabs in empty space (the pure Casimir…

统计力学 · 物理学 2009-11-10 B. Jancovici , L. Samaj

Casimir effect is the attractive force which acts between two plane parallel, closely spaced, uncharged, metallic plates in vacuum. This phenomenon was predicted theoretically in 1948 and reliably investigated experimentally only in recent…

量子物理 · 物理学 2009-11-13 G. L. Klimchitskaya , V. M. Mostepanenko

The virial and the Hellmann--Feynman theorems for massless Dirac electrons in a solid are derived and analyzed using generalized continuity equations and scaling transformations. Boundary conditions imposed on the wave function in a finite…

介观与纳米尺度物理 · 物理学 2019-11-18 Alexey A. Sokolik , Andrey D. Zabolotskiy , Yurii E. Lozovik

The Casimir energy or stress due to modes in a D-dimensional volume subject to TM (mixed) boundary conditions on a bounding spherical surface is calculated. Both interior and exterior modes are included. Together with earlier results found…

高能物理 - 理论 · 物理学 2009-10-30 Kimball A. Milton