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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…

The present review summarizes and assesses recent theoretical and experimental advances, with special emphasis on the effective interaction between charge-stabilized colloids, in the bulk or in confined geometries, and on the ambiguities of…

Soft Condensed Matter · Physics 2015-06-24 J. -P. Hansen , H. Lowen

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

Although stiction is a cumbersome problem for microsystems, it stimulates investigations of surface adhesion. In fact, the shape of an adhered cantilever carries information of the adhesion energy that locks one end to the substrate. We…

Mesoscale and Nanoscale Physics · Physics 2017-07-12 V. B. Svetovoy , A. E. Melenev , M. V. Lokhanin , G. Palasantzas

We investigate the pseudo-Casimir force in a slab of material composed of nematically ordered long polymers. We write the total mesoscopic energy together with the constraint connecting the local density and director fluctuations and…

Statistical Mechanics · Physics 2009-10-31 Jure Dobnikar , Rudi Podgornik

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

It has been established for a long time that the long range van der Waals or thermal Casimir interaction between two semi-infinite dielectrics separated by a distance $H$ is screened by an intervening electrolyte. Here we show how this…

Statistical Mechanics · Physics 2025-01-23 Guangle Du , David S. Dean , Bing Miao , Rudolf Podgornik

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…

Statistical Mechanics · Physics 2009-11-11 T. Emig , R. L. Jaffe , M. Kardar , A. Scardicchio

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

In confined systems near a continuous phase transition the long-ranged fluctuations of the corresponding order parameter are subject to boundary conditions. These constraints result in so-called critical Casimir forces acting as effective…

Statistical Mechanics · Physics 2015-05-18 T. F. Mohry , A. Maciołek , S. Dietrich

We simulate model systems of charged spherical particles in their counterion solution and measure the thermodynamic pressure and the pair distribution function from which we derive effective potentials of mean force. For a system with only…

Soft Condensed Matter · Physics 2007-05-23 Niels Gronbech-Jensen , Keith M Beardmore , Philip Pincus

Colloidal dispersions are prized as model systems to understand basic properties of materials, and are central to a wide range of industries from cosmetics to foods to agrichemicals. Among the key developments in using colloids to address…

Soft Condensed Matter · Physics 2022-06-22 Jun Dong , Francesco Turci , Robert L. Jack , Malcolm A. Faers , C. Patrick Royall

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…

Quantum Physics · Physics 2014-01-28 Johan S. Høye , Iver Brevik

We examine electrolyte systems confined between two parallel, grounded metal plates using a field-theoretic approach truncated at one-loop order. For symmetric electrolytes, the density distribution of the ions is non-uniform, with a…

Soft Condensed Matter · Physics 2007-05-23 T. Brandes , L. Lue

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$…

The exact critical Casimir force between periodically deformed boundaries of a 2D semi-infinite strip is obtained for conformally invariant classical systems. Only two parameters (conformal charge and scaling dimension of a boundary…

Statistical Mechanics · Physics 2015-03-03 G. Bimonte , T. Emig , M. Kardar

This work is a continuation of our papers from the last couple of years on the Casimir friction for a pair of particles at low relative velocity. The new element in the present analysis is to allow the media to be dense. Then the situation…

Quantum Physics · Physics 2013-10-21 Johan S. Høye , Iver Brevik

In this note we investigate using basic free energy considerations the location of the gas-liquid critical point with respect to solidification for narrow attractive interactions down to the Baxter limit. Possible experimental and…

Soft Condensed Matter · Physics 2009-11-13 P. Charbonneau , D. Frenkel

Systems described by $n$-component $\phi^4$ models in a $\infty^{d-1}\times L$ slab geometry of finite thickness $L$ are considered at and above their bulk critical temperature $T_{c,\infty}$. The renormalization-group improved perturbation…

Statistical Mechanics · Physics 2009-11-11 H. W. Diehl , Daniel Grüneberg , M. A. Shpot

We study the mechanical actions affecting close scatterers immersed in a coherent fermionic fluid. Using a scattering field theory, we theoretically analyse the single-scatterer and the two-scatterer case. Concerning the single-scatterer…

Mesoscale and Nanoscale Physics · Physics 2016-11-08 F. Romeo