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Using a lattice model and a versatile thermodynamic integration scheme, we study the critical Casimir interactions between inclusions embedded in a two-dimensional critical binary mixtures. For single-domain inclusions we demonstrate that…

Soft Condensed Matter · Physics 2017-10-11 Jorge Benet , Fabien Paillusson , Halim Kusumaatmaja

We consider detailed roughness and conductivity corrections to the Casimir force in the recent Casimir force measurement employing an Atomic Force Microscope. The roughness of the test bodies-a metal plate and a sphere- was investigated…

Quantum Physics · Physics 2008-11-26 G. L. Klimchitskaya , Anushree Roy , U. Mohideen , V. M. Mostepanenko

The violation of the third law of thermodynamics for metals described by the Drude model and for dielectrics with finite \DC conductivity is one of the most interesting problems in the field of the Casimir effect. It manifests itself as a…

Quantum Physics · Physics 2010-12-24 M. Bordag , I. G. Pirozhenko

We calculate the exact Casimir interaction energy between two perfectly conducting, very long, eccentric cylindrical shells using a mode summation technique. Several limiting cases of the exact formula for the Casimir energy corresponding…

Quantum Physics · Physics 2011-07-19 F. D. Mazzitelli , D. A. R. Dalvit , F. C. Lombardo

We employ a multiple scattering expansion to systematically derive curvature corrections to the Casimir-Polder (CP) interaction between small an-isotropic particles and general magneto-dielectric surfaces. Our results, validated against…

Quantum Physics · Physics 2025-11-10 Giuseppe Bimonte , Thorsten Emig

Casimir-Polder interactions are considered in an inhomogeneous, dispersive background. We consider both the interaction between a polarizable atom and a perfectly conducting wall, and between such an atom and a plane interface between two…

Quantum Physics · Physics 2019-03-19 Kimball A. Milton

We study collective interaction effects that result from the change of free quantum electrodynamic field fluctuations by one- and two-dimensional perfect metal structures. The Casimir interactions in geometries containing plates and…

Statistical Mechanics · Physics 2014-11-18 Sahand Jamal Rahi , Thorsten Emig , Robert L. Jaffe , Mehran Kardar

We study the Casimir interaction between two dielectric spheres immersed in a salted solution at distances larger than the Debye screening length. The long distance behavior is dominated by the non-screened interaction due to low-frequency…

Quantum Physics · Physics 2023-04-14 Tanja Schoger , Benjamin Spreng , Gert-Ludwig Ingold , Paulo A. Maia Neto , Serge Reynaud

We extend a recently introduced method for computing Casimir forces between arbitrarily--shaped metallic objects [M. T. H. Reid et al., Phys. Rev. Lett._103_ 040401 (2009)] to allow treatment of objects with arbitrary material properties,…

Quantum Physics · Physics 2011-10-21 M. T. Homer Reid , Jacob White , Steven G. Johnson

The out-of-thermal-equilibrium Casimir-Polder force between nanoparticles and dielectric substrates coated with gapped graphene is considered in the framework of the Dirac model using the formalism of the polarization tensor. This is an…

Mesoscale and Nanoscale Physics · Physics 2024-03-05 Galina L. Klimchitskaya , Constantine C. Korikov , Vladimir M. Mostepanenko , Oleg Yu. Tsybin

The analytic expressions for the free energy and entropy of the Casimir-Polder interaction between a polarizable and magnetizable atom and a graphene sheet are found in the limiting case of low temperature. In so doing, the response of…

Quantum Physics · Physics 2018-09-26 G. L. Klimchitskaya , V. M. Mostepanenko

Casimir forces between conductors at the sub-micron scale cannot be ignored in the design and operation of micro-electromechanical (MEM) devices. However, these forces depend non-trivially on geometry, and existing formulae and…

We derive the analytical expressions for the thermal Casimir-Polder energy and force between a spheroidal nanoparticle above a semi-infinite material and a graphene covered interface. We analyze in detail the Casimir-Polder force between a…

Quantum Physics · Physics 2015-06-19 Svend-Age Biehs , Girish S. Agarwal

We find the low-temperature behavior of the Casimir-Polder free energy and entropy for an atom interacting with real graphene sheet possessing nonzero energy gap and chemical potential. Employing the formalism of the polarization tensor, it…

Quantum Physics · Physics 2020-02-06 G. L. Klimchitskaya

We evaluate the Casimir energy and force for a massive fermionic field in the geometry of two parallel plates on background of Minkowski spacetime with an arbitrary number of toroidally compactified spatial dimensions. The bag boundary…

High Energy Physics - Theory · Physics 2010-02-08 S. Bellucci , A. A. Saharian

The Casimir force between two parallel thick plates, one perfectly dielectric, the other purely magnetic, has been calculated long ago by Boyer [T. H. Boyer, Phys. Rev. A {\bf 9}, 2078 (1974)]. Its most characteristic property is that it is…

Quantum Physics · Physics 2018-08-15 Johan S. Høye , Iver Brevik

We analyze the effective potential for nanoparticles trapped at a fluid interface within a simple model which incorporates surface and line tensions as well as a thermal average over interface fluctuations (capillary waves). For a single…

Soft Condensed Matter · Physics 2010-09-06 H. Lehle , M. Oettel

The experimental investigation of the Casimir force between a large metallized sphere and semiconductor plate is performed using an atomic force microscope. Improved calibration and measurement procedures permitted reduction in the role of…

Quantum Physics · Physics 2009-11-13 F. Chen , U. Mohideen , G. L. Klimchitskaya , V. M. Mostepanenko

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…

When one studies the Casimir effect, the periodic (anti-periodic) boundary condition is usually taken to mimic a periodic (anti-periodic) structure for a scalar field living in a flat space with a non-Euclidean topology. However, there…

High Energy Physics - Theory · Physics 2014-01-07 Chao-Jun Feng , Xin-Zhou Li , Xiang-Hua Zhai