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An exact statistical mechanical derivation is given of the critical Casimir forces for Ising strips with arbitrary surface fields applied to edges. Our results show that the strength as well as the sign of the force can be controled by…

Statistical Mechanics · Physics 2015-05-14 Douglas B. Abraham , Anna Maciolek

Critical Casimir forces emerge between objects, such as colloidal particles, whenever their surfaces spatially confine the fluctuations of the order parameter of a critical liquid used as a solvent. These forces act at short but…

Soft Condensed Matter · Physics 2020-08-05 Agnese Callegari , Alessandro Magazzù , Andrea Gambassi , Giovanni Volpe

If two ore more bodies are immersed in a critical fluid critical fluctuations of the order parameter generate long ranged forces between these bodies. Due to the underlying mechanism these forces are close analogues of the well known…

Soft Condensed Matter · Physics 2009-10-30 M. Krech

We present exact results on the behavior of the thermodynamic Casimir force and the excess free energy in the framework of the $d$-dimensional spherical model with a power law long-range interaction decaying at large distances $r$ as…

Statistical Mechanics · Physics 2009-11-10 H. Chamati , D. Danchev

Within mean-field theory we calculate universal scaling functions associated with critical Casimir forces for a system consisting of three parallel cylindrical colloids immersed in a near-critical binary liquid mixture. For several…

Soft Condensed Matter · Physics 2015-06-22 T. G. Mattos , L. Harnau , S. Dietrich

Using the quasi-exact density-matrix renormalization-group method we calculate the solvation forces in two-dimensional Ising films of thickness L subject to identical algebraically decaying boundary fields with various decay exponents p. At…

Statistical Mechanics · Physics 2015-05-27 A. Drzewinski , A. Maciolek , A. Barasinski

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

We consider a nematic liquid crystal confined by two parallel planar interfaces, one being laterally homogeneous and the other provided by a substrate endowed with a periodic chemical stripe pattern. Based on continuum theory we analyze the…

Soft Condensed Matter · Physics 2009-11-10 F. Karimi Pour Haddadan , F. Schlesener , S. Dietrich

We study the thermodynamic Casimir force for films with various types of boundary conditions and the bulk universality class of the three-dimensional Ising model. To this end we perform Monte Carlo simulations of the improved Blume-Capel…

Statistical Mechanics · Physics 2015-03-05 Martin Hasenbusch

We discuss recent experimental and theoretical results on the Casimir force between real material bodies made of different materials. Special attention is paid to calculations of the normal Casimir force acting perpendicular to the surface…

Quantum Physics · Physics 2011-03-10 G. L. Klimchitskaya

The universal finite-size scaling function of the critical Casimir force for the three dimensional XY universality class with Dirichlet boundary conditions is determined using Monte Carlo simulations. The results are in excellent agreement…

Statistical Mechanics · Physics 2011-11-10 Alfred Hucht

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

We report on the measurement of the Casimir force between conducting surfaces in a parallel configuration. The force is exerted between a silicon cantilever coated with chromium and a similar rigid surface and is detected looking at the…

Quantum Physics · Physics 2008-11-26 G. Bressi , G. Carugno , R. Onofrio , G. Ruoso

Understanding the force between charged surfaces immersed in an electrolyte solution is a classic problem in soft matter and liquid-state theory. Recent experiments showed that the force decays exponentially but the characteristic decay…

Soft Condensed Matter · Physics 2018-09-26 Alpha A. Lee , Jean-Pierre Hansen , Olivier Bernard , Benjamin Rotenberg

We argue that in a fluid, or magnet, confined by adsorbing walls which favour liquid, or (+) phase, the solvation (Casimir) force in the vicinity of the critical point is strongly influenced by capillary condensation which occurs below the…

Statistical Mechanics · Physics 2009-10-31 A. Drzewinski , A. Maciolek , R. Evans

Colloids immersed in a critical binary liquid mixture are subject to critical Casimir forces (CCFs) because they confine its concentration fluctuations and influence the latter via effective surface fields. To date, CCFs have only been…

Soft Condensed Matter · Physics 2013-09-04 Akira Furukawa , Andrea Gambassi , Siegfried Dietrich , Hajime Tanaka

Critical Casimir forces can play an important role for applications in nano-science and nanotechnology, owing to their piconewton strength, nanometric action range, fine tunability as a function of temperature, and exquisite dependence on…

The critical Casimir force (CCF) arises from confining fluctuations in a critical fluid and thus it is a fluctuating quantity itself. While the mean CCF is universal, its (static) variance has previously been found to depend on the…

Statistical Mechanics · Physics 2021-06-21 Markus Gross , Andrea Gambassi , S. Dietrich

We study the thermodynamic Casimir force for films in the three-dimensional Ising universality class with symmetry breaking boundary conditions. We focus on the effect of corrections to scaling and probe numerically the universality of our…

Statistical Mechanics · Physics 2012-05-21 Martin Hasenbusch