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The Casimir force between two ideal conducting surfaces is a special (zero temperature) limit of a more general theory due to Lifshitz. The temperature dependent theory includes correlations in coupled quantum and classical fluctuation…

Quantum Physics · Physics 2020-07-03 L. R. Fisher , B. W. Ninham

The standard expression of the high-temperature Casimir force between perfect conductors is obtained by imposing macroscopic boundary conditions on the electromagnetic field at metallic interfaces. This force is twice larger than that…

Statistical Mechanics · Physics 2009-11-11 P. R. Buenzli , Ph. A. Martin

In a conducting medium held at finite temperature, free carriers are performing Brownian motion and generate fluctuating electromagnetic fields. We compute the averaged Lorentz force density that turns out nonzero in a thin sub-surface…

Quantum Physics · Physics 2024-11-22 Carsten Henkel

We have numerically investigated the behavior of driven non-cohesive granular media and found that two fixed large intruder particles, immersed in a sea of small particles, experience, in addition to a short range depletion force, a long…

Statistical Mechanics · Physics 2007-05-23 C. Cattuto , R. Brito , U. Marini Bettolo Marconi , F. Nori , R. Soto

Dispersion forces between neutral material bodies are due to fluctuations of the polarization of the bodies. For bodies in equilibrium these forces are often referred to as Casimir-Lifshitz forces. For bodies in relative motion, in addition…

Quantum Physics · Physics 2022-09-12 Iver Brevik , Boris Shapiro , Mário Silveirinha

The notion of fluctuation-induced forces is generalized to the cases where the fluctuations have nonequilibrium origin. It is shown that a net force is exerted on a single flat plate that restricts scale-free fluctuations of a scalar field…

Soft Condensed Matter · Physics 2009-11-10 Ali Najafi , Ramin Golestanian

The principles of the electromagnetic fluctuation-induced phenomena such as Casimir forces are well understood. However, recent experimental advances require universal and efficient methods to compute these forces. While several approaches…

Quantum Physics · Physics 2021-08-17 Giuseppe Bimonte , Thorsten Emig

Among the various kinds of effective forces in soft matter, the spatial range and the direction of the so-called critical Casimir force - which is generated by the enhanced thermal fluctuations close to a continuous phase transition - can…

Soft Condensed Matter · Physics 2011-02-14 Andrea Gambassi , S. Dietrich

Casimir forces are a manifestation of the change in the zero-point energy of the vacuum caused by the insertion of boundaries. We show how the Casimir force can be computed by consideration of the vacuum fluctuations that are suppressed by…

Statistical Mechanics · Physics 2007-12-13 Eugene B. Kolomeisky , Joseph P. Straley

Fluctuations of energy and heat are investigated during the relaxation following the instantaneous temperature quench of an extended system. Results are obtained analytically for the Gaussian model and for the large $N$ model quenched below…

Statistical Mechanics · Physics 2015-06-22 M. Zannetti , F. Corberi , G. Gonnella , A. Piscitelli

We study fluctuation-induced interaction in confined fluids above the isotropic-lamellar transition. At an ideal continuous transition, the disjoining pressure has the asymptotic form $\Pi(d\to\infty)\approx -C k_BT q_0^2/d$, where $d$ is…

Soft Condensed Matter · Physics 2009-11-07 Nariya Uchida

Whether intentionally introduced to exert control over particles and macroscopic objects, such as for trapping or cooling, or whether arising from the quantum and thermal fluctuations of charges in otherwise neutral bodies, leading to…

We consider the Casimir effect in a (1+1)-dimensional model with a critical mode. Such a mode gives rise to a condensate described by the nonlinear Gross-Pitaevskii equation. In the condensate, there are two sources of the Casimir force;…

Quantum Physics · Physics 2025-02-14 M. Bordag , I. G. Pirozhenko

Transmission-line waveguides can mediate long-range fluctuation-induced forces between neutral objects. We present two approaches for the description of these forces between electric components embedded in transmission-line circuits. The…

Quantum Physics · Physics 2017-06-14 Ephraim Shahmoon

We review several different approaches for computing Casimir forces and related fluctuation-induced interactions between bodies of arbitrary shapes and materials. The relationships between this problem and well known computational…

Quantum Physics · Physics 2012-01-11 Steven G. Johnson

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

We discuss a force arising from zero-temperature quantum fluctuations in a weakly interacting Bose-Einstein condensate (BEC). We argue that there is a drag force on an object moving at speeds well below Landau's critical velocity, and…

Statistical Mechanics · Physics 2008-04-09 D. C. Roberts , Y. Pomeau

We examine whether fluctuation-induced forces can lead to stable levitation. First, we analyze a collection of classical objects at finite temperature that contain fixed and mobile charges, and show that any arrangement in space is unstable…

Quantum Physics · Physics 2014-11-20 Sahand Jamal Rahi , Mehran Kardar , Thorsten Emig

We review modern achievements and problems in physics of the van der Waals and Casimir forces which arise due to zero-point and thermal fluctuations of the electromagnetic field between closely spaced material surfaces. This subject…

Quantum Physics · Physics 2015-07-10 G. L. Klimchitskaya , V. M. Mostepanenko

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