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A solid substrate, when exposed to a vapour, can interact with it in such a way that sufficiently close to liquid-vapour coexistence a macroscopically thick liquid wetting layer is formed on the substrate surface. If such a wetting…

Statistical Mechanics · Physics 2009-10-30 N. B. Wilding , M. Krech

We provide comprehensive details of how a previously overlooked entropic, or low temperature Casimir contribution, $W_C$, to the total binding potential for 3D short-ranged wetting may be determined from a microscopic Landau-Ginzburg-Wilson…

Statistical Mechanics · Physics 2026-03-03 Alessio Squarcini , José M. Romero-Enrique , Andrew O. Parry

The confinement of long-ranged critical fluctuations in the vicinity of second-order phase transitions in fluids generates critical Casimir forces acting on confining surfaces or among particles immersed in a critical solvent. This is…

Statistical Mechanics · Physics 2015-06-17 O. A. Vasilyev , S. Dietrich

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 show that continuous filling or wedge-wetting transitions are possible in 3D wedge-geometries made from (angled) substrates exhibiting first-order wetting transitions and develop a comprehensive fluctuation theory yielding a complete…

Condensed Matter · Physics 2009-10-31 A. O. Parry , C. Rascon , A. J. Wood

In a recent study [Phys. Rev. E \textbf{94}, 022103 (2016)] it has been shown that, for a fluid film subject to critical adsorption, the resulting critical Casimir force (CCF) may significantly depend on the thermodynamic ensemble. Here, we…

Statistical Mechanics · Physics 2019-06-13 Christian M. Rohwer , Alessio Squarcini , Oleg Vasilyev , S. Dietrich , Markus Gross

We consider a five-layer Casimir cavity, including a thin superconducting film. We show that when the cavity is cooled below the critical temperature for the onset of superconductivity, the sharp variation (in the microwave region) of the…

High Energy Physics - Theory · Physics 2009-11-11 Giuseppe Bimonte , Enrico Calloni , Giampiero Esposito , Luigi Rosa

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

Recent experiments have measured the critical Casimir force acting on a colloid immersed in a binary liquid mixture near its continuous demixing phase transition and exposed to a chemically structured substrate. Motivated by these…

Statistical Mechanics · Physics 2013-11-27 Francesco Parisen Toldin , Matthias Tröndle , S. Dietrich

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

Critical properties of a liquid film between two planar walls are investigated in the canonical ensemble, within which the total number of particles, rather than their chemical potential, is kept constant. The effect of this constraint is…

Statistical Mechanics · Physics 2016-08-04 Markus Gross , Oleg Vasilyev , Andrea Gambassi , S. Dietrich

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

Statistical Mechanics · Physics 2016-04-27 Daniel M. Dantchev , Vassil M. Vassilev , Peter A. Djondjorov

We present results for the temperature behavior of the Casimir force for a system with a film geometry with thickness $L$ subject to free boundary conditions and described by the $n\to\infty$ limit of the $O(n)$ model. These results extend…

Statistical Mechanics · Physics 2015-06-11 Daniel Dantchev , Jonathan Bergknoff , Joseph Rudnick

Systems described by an O(n) symmetrical $\phi^4$ Hamiltonian are considered in a $d$-dimensional film geometry at their bulk critical points. A detailed renormalization-group (RG) study of the critical Casimir forces induced between the…

Statistical Mechanics · Physics 2012-02-22 H. W. Diehl , Felix M. Schmidt

The three dimensional mean spherical model on a hypercubic lattice with a film geometry $L\times \infty ^2$ under periodic boundary conditions is considered in the presence of an external magnetic field $H$. The universal Casimir amplitude…

Statistical Mechanics · Physics 2009-10-31 Daniel M. Danchev

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

Recent experimental realizations of the critical Casimir effect have been implemented by monitoring colloidal particles immersed in a binary liquid mixture near demixing and exposed to a chemically structured substrate. In particular,…

Statistical Mechanics · Physics 2016-05-31 Francesco Parisen Toldin , Matthias Tröndle , S. Dietrich

We study the interplay between wetting and miscibility of a symmetric polymer mixture via MC simulations and SCF calculations. The film surfaces interact with the monomers via short ranged potentials and the wetting transition is of first…

Soft Condensed Matter · Physics 2007-05-23 Marcus Mueller , Kurt Binder

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

Motivated by recent experiments with confined binary liquid mixtures near demixing, we study the universal critical properties of a system, which belongs to the Ising universality class, in the film geometry. We employ periodic boundary…

Statistical Mechanics · Physics 2010-11-29 Francesco Parisen Toldin , Siegfried Dietrich