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The mapping between a classical length and inverse temperature as imaginary time provides a direct equivalence between the Casimir force of a classical system in $D$ dimensions and internal energy of a quantum system in $d$$=$$D$$-$$1$…

This work is an extended version of a paper published last year in Physical Review Letters [S. de Man et al., Phys. Rev. Lett. 103, 040402 (2009)], where we presented measurements of the Casimir force between a gold coated sphere and a…

Quantum Physics · Physics 2015-05-20 Sven de Man , Kier Heeck , Davide Iannuzzi

We discuss four different, though related, fundamental topics related to the Casimir effect: 1) We suggest that the application of Casimir theory to real dielectric materials, thus implying the atomic spacing as a course-grained length…

Quantum Physics · Physics 2022-06-03 Iver Brevik

When a colloidal suspension is dried, capillary pressure may overwhelm repulsive electrostatic forces, assembling aggregates that are out of thermal equilibrium. This poorly understood process confers cohesive strength to many geological…

Soft Condensed Matter · Physics 2020-03-25 Ali Seiphoori , Xiao-guang Ma , Paulo E. Arratia , Douglas J. Jerolmack

Casimir and Casimir-Polder repulsion have been known for more than 50 years. The general "Lifshitz" configuration of parallel semi-infinite dielectric slabs permits repulsion if they are separated by a dielectric fluid that has a value of…

High Energy Physics - Theory · Physics 2018-03-09 Kimball A. Milton , E. K. Abalo , Prachi Parashar , Nima Pourtolami , Iver Brevik , Simen A. Ellingsen

Colloidal particles, amphiphiles, and functionalized nanoparticles are examples of systems that frequently exhibit short-range attractions coupled with long-range repulsions. In this work, we observe striking differences in the dynamics of…

Soft Condensed Matter · Physics 2017-06-01 Jakub Pȩkalski , Andrew P. Santos , Athanassios Z. Panagiotopoulos

We study the effective electrostatic interactions between a pair of charged colloidal particles without salt ions while the system is confined in two dimensions. In particular we use a simplified model to elucidate the effects of rotational…

Soft Condensed Matter · Physics 2010-09-09 Chi-Lun Lee , Sio-Kit Ng

We propose a definitive test of whether plates involved in Casimir experiments should be modeled with ballistic or diffusive electrons--a prominent controversy highlighted by a number of conflicting experiments. The unambiguous test we…

Quantum Physics · Physics 2015-06-30 Andrew A. Allocca , Justin H. Wilson , Victor Galitski

Within the framework of a discrete Gaussian model, we present analytical results for the interaction induced by a lamellar phase between small embedded colloids. We consider the two limits of particles strongly adherent to the adjacent…

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…

Quantum Physics · Physics 2009-11-13 G. L. Klimchitskaya , V. M. Mostepanenko

In this note we address the attempted proof of the existence of static solutions to the Einstein-Vlasov system as given in \cite{Wol}. We focus on a specific and central part of the proof which concerns a variational problem with an…

General Relativity and Quantum Cosmology · Physics 2024-02-19 Håkan Andréasson , Markus Kunze

The Casimir effect, the dispersion force attracting neutral objects to each other, may be understood in terms of multiple scattering of light between the interacting bodies. We explore the simple model in which the bodies are assumed to…

Quantum Physics · Physics 2010-04-29 Simen Å. Ellingsen

Within a general framework we study the effective, deformation-induced interaction between two colloids trapped at a fluid interface. As an application, we consider the interface deformation owing to the electrostatic field of charged…

Soft Condensed Matter · Physics 2007-05-23 Alvaro Dominguez , Martin Oettel , Siegfried Dietrich

Zero-point fluctuations in quantum fields give rise to observable forces between material bodies, the so-called Casimir forces. In these lectures I present the theory of the Casimir effect, primarily formulated in terms of Green's…

High Energy Physics - Theory · Physics 2007-05-23 Kimball A. Milton

Spatial confinement of a near-critical medium changes its fluctuation spectrum and modifies the corresponding order parameter distribution. These effects result in effective, so-called critical Casimir forces (CCFs) acting on the confining…

Soft Condensed Matter · Physics 2014-03-24 T. F. Mohry , S. Kondrat , A. Maciolek , S. Dietrich

In the current work we present the complete results for the measurement of normal Casimir force between shallow and smooth sinusoidally corrugated gold coated sphere and a plate at various angles between the corrugations using an atomic…

Quantum Physics · Physics 2015-06-18 A. A. Banishev , J. Wagner , T. Emig , R. Zandi , U. Mohideen

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

In this paper we present an example of a simple study of velocity proportional resistance force. Some experimental determinations are presented.

Physics Education · Physics 2007-05-23 Gabriel Murariu

We investigate the dynamics of colloids at a fluid interface driven by attractive capillary interactions. At submillimeter length scales, the capillary attraction is formally analogous to two-dimensional gravity. In particular it is a…

Soft Condensed Matter · Physics 2010-07-27 Alvaro Dominguez , Martin Oettel , S. Dietrich

In this work, we present a computer simulation study of the acid coagulation of casein micelles. For different conditions, we predict the acidity (pH value) at which aggregation transition occurs. The interaction potential implemented…