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For a long time, the study of thermal effects at three-dimensional (3D) short-ranged wetting transitions considered only the effect of interfacial fluctuations. We show that an entropic Casimir contribution, missed in previous treatments,…

Statistical Mechanics · Physics 2024-12-23 Alessio Squarcini , José M. Romero-Enrique , Andrew O. Parry

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

Effective Casimir forces induced by thermal fluctuations in the vicinity of bulk critical points are studied by means of Monte Carlo simulations in three-dimensional systems for film geometries and within the experimentally relevant Ising…

Statistical Mechanics · Physics 2009-07-13 O. Vasilyev , A. Gambassi , A. Maciolek , S. Dietrich

In soft and condensed matter physics, effective interactions often emerge as a result of the spatial confinement of a fluctuating field. For instance, microscopic particles in a binary liquid mixture are subject to critical Casimir forces…

We study the thermodynamic Casimir effect in thin films in the three dimensional XY universality class. To this end, we simulate the improved two component phi^4 model on the simple cubic lattice. We use lattices up to the thickness L_0=33.…

Statistical Mechanics · Physics 2015-05-13 Martin Hasenbusch

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 study the critical Casimir force for a film geometry in the Ising universality class. We employ a homogeneous adsorption preference on one of the confining surfaces, while the opposing surface exhibits quenched random disorder, leading…

Statistical Mechanics · Physics 2015-03-04 Francesco Parisen Toldin

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

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

The limit n to infinity of the classical O(n) phi^4 model on a 3d film with free surfaces is studied. Its exact solution involves a self-consistent 1d Schr\"odinger equation, which is solved numerically for a partially discretized as well…

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 crossover from the ordinary to the normal surface universality class in the three-dimensional Ising universality class. This crossover is relevant for the behavior of films of binary mixtures near the demixing point and a weak…

Statistical Mechanics · Physics 2011-04-27 Martin Hasenbusch

Using field-theoretical methods and exploiting conformal invariance, we study Casimir forces at tricritical points exerted by long-range fluctuations of the order-parameter field. Special attention is paid to the situation where the…

Soft Condensed Matter · Physics 2015-06-25 Uwe Ritschel , Markus Gerwinski

We discuss the relation of the specific heat, the energy density and the thermodynamic Casimir effect in the case of thin films in the three dimensional XY universality class. The finite size scaling function $\theta(x)$ of the…

Statistical Mechanics · Physics 2013-05-29 Martin Hasenbusch

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

Using quasi-exact numerical density-matrix renormalization-group techniques we calculate the critical Casimir force for a two-dimensional (2D) Ising strip with equal strong surface fields, along the thermodynamic paths corresponding to the…

Statistical Mechanics · Physics 2015-06-17 M. Zubaszewska , A. Maciołek , A. Drzewiński

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

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 Casimir effect is considered for a wedge with opening angle $\alpha $, with perfectly conducting walls, when the interior region is filled with an isotropic and nondispersive medium with permittivity $\epsilon $ and permeability $\mu $.…

Quantum Physics · Physics 2009-01-14 I. Brevik , K. Pettersen

To study the critical Casimir force between chemically structured boundaries immersed in a binary mixture at its demixing transition, we consider a strip of Ising spins subject to alternating fixed spin boundary conditions. The system…

Statistical Mechanics · Physics 2016-01-21 Jerome Dubail , Raoul Santachiara , Thorsten Emig