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It is predicted that in force microscopy the quantum fluctuations responsible for the Casimir force can be directly observed as temperature-independent force fluctuations having spectral density $9\pi/(40\ln(4/e)) \hbar \delta k$, where…

Quantum Physics · Physics 2007-05-23 John A. Sidles

We analyze the thermodynamic Casimir effect in strongly anizotropic systems from the vectorial $N\to\infty$ class in a slab geometry. Employing the imperfect (mean-field) Bose gas as a representative example, we demonstrate the key role of…

Statistical Mechanics · Physics 2024-03-15 Maciej Łebek , Paweł Jakubczyk

A theory is proposed for the component of the Casimir-like force that arises between bodies embedded in a macroscopic quantum damped oscillator. When the oscillator's parameters depend on the distance between the bodies, the…

Quantum Physics · Physics 2026-02-16 Yu. S. Barash

Molecular sorting in biological membranes is essential for proper cellular function. It also plays a crucial role in the budding of enveloped viruses from host cells. We recently proposed that this process is driven by phase separation,…

Biological Physics · Physics 2025-03-11 Damiano Andreghetti , Luca Dall'Asta , Andrea Gamba , Igor Kolokolov , Vladimir Lebedev

The confinement of long-ranged critical fluctuations in the vicinity of second-order phase transitions in fluids generates critical Casimir forces acting on confining surfaces or among particles immersed in a critical solvent. This is…

Statistical Mechanics · Physics 2015-06-17 O. A. Vasilyev , S. Dietrich

Casimir forces in a critical media are produced by spatial suppression of order parameter fluctuations. In this paper we address the question how fluctuations of a critical media relates the magnitude of critical Casimir interactions.…

Statistical Mechanics · Physics 2019-01-02 Oleg A. Vasilyev

Particles embedded in a fluctuating interface experience forces and torques mediated by the deformations and by the thermal fluctuations of the medium. Considering a system of two cylinders bound to a fluid membrane we show that the…

Soft Condensed Matter · Physics 2011-05-31 Pierre Gosselin , Hervé Mohrbach , Martin Michael Müller

We study the Casimir effect in the vicinity of a quantum critical point. As a prototypical system we analyze the $d$-dimensional imperfect (mean-field) Bose gas enclosed in a slab of extension $L^{d-1}\times D$ and subject to periodic…

Statistical Mechanics · Physics 2016-07-08 P. Jakubczyk , M. Napiórkowski , T. Sęk

We derive exact expressions for the Casimir scalar interaction energy between media-separated eccentric dielectric cylinders and for the media-separated cylinder-plane geometry using a mode-summation approach. Similarly to the…

Quantum Physics · Physics 2011-02-28 F. C. Lombardo , F. D. Mazzitelli , P. I. Villar , D. A. R. Dalvit

We consider an ensemble of spherical colloidal particles immersed in a near-critical solvent such as a binary liquid mixture close to its critical demixing point. The emerging long-ranged fluctuations of the corresponding order parameter of…

Soft Condensed Matter · Physics 2015-06-03 T. F. Mohry , A. Maciołek , S. Dietrich

We study the statistical fluctuations of the Casimir potential felt by an atom approaching a dielectric disordered medium. Starting from a microscopic model for the disorder, we calculate the variance of potential fluctuations in the limit…

Quantum Physics · Physics 2015-04-15 Nicolas Cherroret , Romain Guérout , Astrid Lambrecht , Serge Reynaud

Like Casimir's original force between conducting plates in vacuum, Casimir forces are usually attractive. But repulsive Casimir forces can be achieved in special circumstances. These might prove useful in nanotechnology. We give examples of…

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

The Casimir effect in quantum electrodynamics (QED) is perhaps the best-known example of fluctuation-induced long-ranged force acting on objects (conducting plates) immersed in a fluctuating medium (quantum electromagnetic field in vacuum).…

Statistical Mechanics · Physics 2009-07-13 Andrea Gambassi

We derive an expression for the Casimir force between slabs with arbitrary dielectric properties characterized by their reflection coefficients. The formalism presented here is applicable to media with a local or a non-local dielectric…

Quantum Physics · Physics 2007-05-23 W. L. Mochan , C. Villarreal , R. ESquivel-Sirvent

We study the Casimir force acting on a conducting piston with arbitrary cross section. We find the exact solution for a rectangular cross section and the first three terms in the asymptotic expansion for small height to width ratio when the…

Quantum Physics · Physics 2008-11-26 M. P. Hertzberg , R. L. Jaffe , M. Kardar , A. Scardicchio

The Casimir force, which results from the confinement of the quantum mechanical zero-point fluctuations of the electromagnetic fields, has received significant attention in recent years for its effect on micro- and nano-scale mechanical…

Atomic Physics · Physics 2009-11-13 J. N. Munday , Federico Capasso

Critical Casimir interactions represent a perfect example of bath-induced forces at mesoscales. These forces may have a relevant role in the living systems as well as a role in the design of nanomachines fueled by environmental…

Mesoscale and Nanoscale Physics · Physics 2023-12-20 Ignacio A. Martinez , Artyom Petrosyan , Sergio Ciliberto

In this paper, we study the stationary states of diffusive dynamics driven out of equilibrium by reservoirs. For a small forcing, the system remains close to equilibrium and the large deviation functional of the density can be computed…

Statistical Mechanics · Physics 2024-12-19 Thierry Bodineau , Bernard Derrida

The critical Casimir effect provides a thermodynamic analogue of the well-known quantum mechanical Casimir effect. It acts between two surfaces immersed in a critical binary liquid mixture, and results from the confinement of concentration…

Soft Condensed Matter · Physics 2015-06-15 Van Duc Nguyen , Suzanne Faber , Zhibing Hu , Gerard H. Wegdam , Peter Schall

Experiments on $^4$He films reveal an attractive Casimir-like force at the bulk $\lambda$-point, and in the superfluid regime. Previous work has explained the magnitude of this force at the $\lambda$ transition and deep in the superfluid…

Statistical Mechanics · Physics 2009-11-13 Roya Zandi , Aviva Shackell , Joseph Rudnick , Mehran Kardar , Lincoln Chayes
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