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We review the theory of the Casimir effect using scattering techniques. After years of theoretical efforts, this formalism is now largely mastered so that the accuracy of theory-experiment comparisons is determined by the level of precision…

Quantum Physics · Physics 2007-05-23 A. Lambrecht , P. A. Maia Neto , S. Reynaud

We study the phase behavior of colloidal suspensions the solvents of which are considered to be binary liquid mixtures undergoing phase segregation. We focus on the thermodynamic region close to the critical point of the accompanying…

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

The subtle interplay between critical phenomena and electrostatics is investigated by considering the effective force acting on two parallel walls confining a near-critical binary liquid mixture with added salt. The ion-solvent coupling can…

Soft Condensed Matter · Physics 2011-09-13 Markus Bier , Andrea Gambassi , Martin Oettel , S. Dietrich

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 microscopic mechanisms for universality of Casimir forces between macroscopic conductors are displayed in a model of classical charged fluids. The model consists of two slabs in empty space at distance $d$ containing classical charged…

Statistical Mechanics · Physics 2009-11-10 P. R. Buenzli , Ph. A. Martin

Recent experiments on the wetting of $^{4}$He have shown that the film becomes thinner at the $\lambda$ transition, and in the superfluid phase. The difference in thickness above and below the transition has been attributed to a Casimir…

Statistical Mechanics · Physics 2009-11-10 Roya Zandi , Joseph Rudnick , Mehran Kardar

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

Systems as diverse as binary mixtures and inclusions in biological membranes, and many more, can be described effectively by interacting spins. When the critical fluctuations in these systems are constrained by boundary conditions, critical…

Statistical Mechanics · Physics 2019-01-23 Jerome Dubail , Raoul Santachiara , Thorsten Emig

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

We study critical Casimir forces (CCF) $f_{\mathrm C}$ for films of thickness $L$ which in the three-dimensional bulk belong to the Ising universality class and which are exposed to random surface fields (RSF) on both surfaces. We consider…

Statistical Mechanics · Physics 2015-06-23 A. Maciolek , O. Vasilyev , V. Dotsenko , S. Dietrich

We compute the finite temperature Casimir energy for massive scalar field with general curvature coupling subject to Dirichlet or Neumann boundary conditions on the walls of a closed cylinder with arbitrary cross section, located in a…

High Energy Physics - Theory · Physics 2009-12-04 L. P. Teo

We present general arguments and construct a stress tensor operator for finite lattice spin models. The average value of this operator gives the Casimir force of the system close to the bulk critical temperature $T_c$. We verify our…

Statistical Mechanics · Physics 2009-11-10 Daniel Dantchev , Michael Krech

The collective behaviour of statistical systems close to critical points is characterized by an extremely slow dynamics which, in the thermodynamic limit, eventually prevents them from relaxing to an equilibrium state after a change in the…

Statistical Mechanics · Physics 2009-07-13 Andrea Gambassi

We consider systems with slab geometry of finite thickness L that undergo second order phase transitions in the bulk limit and belong to the universality class of O(n)-symmetric systems with short-range interactions. In these systems the…

Statistical Mechanics · Physics 2012-07-04 Denis Comtesse , Alfred Hucht , Daniel Grüneberg

We study the crossover between thermodynamic Casimir forces arising from long-range fluctuations due to Goldstone modes and those arising from critical fluctuations. Both types of forces exist in the low-temperature phase of O$(n)$…

Statistical Mechanics · Physics 2013-03-12 Volker Dohm

Although Casimir forces are inseparable from their fluctuations, little is known about these fluctuations in soft matter systems. We use the membrane stress tensor to study the fluctuations of the membrane-mediated Casimir-like force. This…

Soft Condensed Matter · Physics 2011-06-10 Anne-Florence Bitbol , Paul G. Dommersnes , Jean-Baptiste Fournier

A broadband electromagnetic source is important for scientific and technological applications. Quantum vacuum fluctuations, which manifest most prominently in the Casimir effect, provide a fundamentally broadband electromagnetic source.…

Quantum Physics · Physics 2026-04-20 Hideo Iizuka , Shanhui Fan

Casimir forces are conventionally computed by analyzing the effects of boundary conditions on a fluctuating quantum field. Although this analysis provides a clean and calculationally tractable idealization, it does not always accurately…

High Energy Physics - Theory · Physics 2008-11-26 N. Graham , R. L. Jaffe , V. Khemani , M. Quandt , O. Schroeder , H. Weigel

Quantum fluctuations give rise to van der Waals and Casimir forces that dominate the interaction between electrically neutral objects at sub-micron separations. Under the trend of miniaturization, such quantum electrodynamical effects are…

Mesoscale and Nanoscale Physics · Physics 2013-05-20 J. Zou , Z. Marcet , A. W. Rodriguez , M. T. H. Reid , A. P. McCauley , I. I. Kravchenko , T. Lu , Y. Bao , S. G. Johnson , H. B. Chan

In the present work we propose a method to determine fluctuation induced forces in non equilibrium systems. These forces are the analogue of the well known Casimir forces, which were originally introduced in Quantum Field theory and later…

Statistical Mechanics · Physics 2009-11-11 R. Brito , U. Marini Bettolo Marconi , R. Soto