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We numerically test an experimentally realizable method for the extraction of the critical Casimir force based on its thermodynamic definition as the derivative of the excess free energy with respect to system size. Free energy differences…

Statistical Mechanics · Physics 2016-03-31 David Lopes Cardozo , Hugo Jacquin , Peter C. W. Holdsworth

We present an experimental and theoretical study of the phase behavior of a binary mixture of colloids with opposite adsorption preferences in a critical solvent. As a result of the attractive and repulsive critical Casimir forces, the…

Soft Condensed Matter · Physics 2011-10-03 O. Zvyagolskaya , A. J. Archer , C. Bechinger

In order to explore repulsive Casimir/van der Waals forces between solid materials with liquid as the intervening medium, we analyze dielectric data for a wide range of materials as for example PTFE, polystyrene, silica and more than twenty…

Materials Science · Physics 2015-05-18 P. J. van Zwol , G. Palasantzas

For the first time we present analytical results for the contribution of electromagnetic fluctuations into thermodynamic properties of modulated systems, like cholesteric or smectic liquid crystalline films. In the case of small dielectric…

Soft Condensed Matter · Physics 2009-11-10 I. E. Dzyaloshinskii , E. I. Kats

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

Computer simulations and theory are used to systematically investigate how the effective force between two big colloidal spheres in a sea of small spheres depends on the basic (big-small and small-small) interactions. The latter are modeled…

Soft Condensed Matter · Physics 2009-11-07 A. A. Louis , E. Allahyarov , H. Lowen , R. Roth

Percolation and critical phenomena show common features such as scaling and universality. Colloidal particles, immersed in a solvent close to criticality, experience long-range effective forces, named critical Casimir forces. %These…

Soft Condensed Matter · Physics 2014-07-16 Nicoletta Gnan , Emanuela Zaccarelli , Francesco Sciortino

We show the weak convergence, up to extraction of a subsequence, of the empirical measure for the Keller-Segel system of particles in both subcritical and critical cases, for general initial conditions. This particle system consists of $N$…

Probability · Mathematics 2023-10-10 Yoan Tardy

A brief review of the recent experimental verifications of the Casimir force between extended bodies is presented. With modern techniques, it now appears feasible to test the force law with 1% precision; I will address the issues relating…

Quantum Physics · Physics 2007-05-23 S. K. Lamoreaux

We comment on the recent work [1], and on its relations with our papers [2,3] cited therein. In particular we show that, contrarily to what stated in [1], the Casimir energy density determined therein in the case of a single delta-like…

Quantum Physics · Physics 2023-03-06 Davide Fermi , Livio Pizzocchero

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

Motivated by recent experiments with confined binary liquid mixtures near their continous demixing phase transition we study the critical behavior of a system, which belongs to the Ising universality class, for the film geometry with one…

Soft Condensed Matter · Physics 2017-08-23 F. Parisen Toldin , S. Dietrich

A novel approach for calculating Casimir forces between periodically deformed objects is developed. This approach allows, for the first time, a rigorous non-perturbative treatment of the Casimir effect for disconnected objects beyond…

Statistical Mechanics · Physics 2010-12-17 Thorsten Emig

We have reviewed the Comment of Geyer et al. [arXiv:0708.1548] concerning our recent work [Phys. Rev. A 75, 060102 (R) (2007)], and while we disagree with their criticisms, we acknowledge them for giving us the opportunity to add…

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

Electrostatic repulsions can drive crystallization in many-particle systems. For charged colloidal systems, the phase boundaries as well as crystal structure are highly tunable by experimental parameters such as salt concentration and pH.…

Soft Condensed Matter · Physics 2016-03-17 Jeffrey Everts , Niels Boon , René van Roij

We consider the Casimir interaction between (non-magnetic) dielectric bodies or conductors. Our main result is a proof that the Casimir force between two bodies related by reflection is always attractive, independent of the exact form of…

Quantum Physics · Physics 2009-11-13 Oded Kenneth , Israel Klich

We apply the result of Kenneth and I. Klich, Phys. Rev. Lett.97, 160401 (2006) to derive a theorem for two objects coupled to a Dirac field. We demonstrate that a sufficient condition for the Casimir interaction to be repulsive, is for…

High Energy Physics - Theory · Physics 2025-07-17 Aitor Fernández , César D. Fosco , Guillermo Hansen

When massless excitations are limited or modified by the presence of material bodies one observes a force acting between them generally called Casimir force. Such excitations are present in any fluid system close to its true bulk critical…

Statistical Mechanics · Physics 2016-10-05 Daniel M Dantchev , Vassil M Vassilev , Peter A Djondjorov

Forces induced by quantum fluctuations of electromagnetic field control adhesion phenomena between rough solids when the bodies are separated by distances ~10nm. However, this distance range remains largely unexplored experimentally in…

Mesoscale and Nanoscale Physics · Physics 2020-06-09 V. B. Svetovoy , A. V. Postnikov , I. V. Uvarov , F. I. Stepanov , G. Palasantzas

Although buckling is a prime route to achieve functionalization and synthesis of single colloids, buckling of colloidal structures---made up of multiple colloids---remains poorly studied. Here, we investigate the buckling of the simplest…

Soft Condensed Matter · Physics 2019-10-02 Simon Stuij , Jan Maarten van Doorn , Thomas Kodger , Joris Sprakel , Corentin Coulais , Peter Schall