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An exact statistical mechanical derivation is given of the critical Casimir interactions between two defects in a planar lattice-gas Ising model. Each defect is a group of nearest-neighbor spins with modified coupling constants. Such a…

Statistical Mechanics · Physics 2016-11-23 Piotr Nowakowski , Anna Maciołek , Siegfried Dietrich

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 show that critical Casimir effects can be accessed through direct simulation of a model binary fluid passing through the demixing transition. We work in the semi grand canonical ensemble, in slab geometry, in which the Casimir force…

Statistical Mechanics · Physics 2016-11-23 Francesco Puosi , David Lopes Cardozo , Sergio Ciliberto , Peter C. W. Holdsworth

Universal aspects of the thermodynamic Casimir effect in wetting films of 3He-4He mixtures near their bulk tricritical point are studied within suitable models serving as representatives of the corresponding universality class. The…

Statistical Mechanics · Physics 2009-11-11 A. Maciolek , S. Dietrich

Within mean-field theory we calculate the scaling functions associated with critical Casimir forces for a system consisting of two spherical colloids immersed in a binary liquid mixture near its consolute point and facing a planar,…

Soft Condensed Matter · Physics 2015-06-12 T. G. Mattos , L. Harnau , S. Dietrich

We present a new Monte Carlo method to calculate Casimir forces acting on objects in a near-critical fluid, considering the two basic cases of a wall and a sphere embedded in a two-dimensional Ising medium. During the simulation, the…

Statistical Mechanics · Physics 2014-06-19 Hendrik Hobrecht , Alfred Hucht

We have considered the critical Casimir force on a $^4$He film below and above the bulk $\lambda$ point. We have explored the role of fluctuations around the mean field theory in a perturbative manner, and have substantially improved the…

Statistical Mechanics · Physics 2010-07-13 Shyamal Biswas , J. K. Bhattacharjee , Himadri S. Samanta , Saugata Bhattacharyya , Bambi Hu

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

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

The effect of imposing a constraint on a fluctuating scalar order parameter field in a system of finite volume is studied within statistical field theory. The canonical ensemble, corresponding to a fixed total integrated order parameter, is…

Statistical Mechanics · Physics 2017-08-17 Markus Gross , Andrea Gambassi , S. Dietrich

A d-dimensional finite quantum model system confined to a general hypercubical geometry with linear spatial size L and ``temporal size'' 1/T (T - temperature of the system) is considered in the spherical approximation under periodic…

Condensed Matter · Physics 2008-02-03 H. Chamati , D. M. Danchev , N. S. Tonchev

Using general scaling arguments combined with mean-field theory we investigate the critical ($T \simeq T_c$) and off-critical ($T\ne T_c$) behavior of the Casimir forces in fluid films of thickness $L$ governed by dispersion forces and…

Statistical Mechanics · Physics 2008-11-26 Daniel Dantchev , Frank Schlesener , S. Dietrich

Using analytic and numerical approaches, we study the spatio-temporal evolution of a conserved order parameter of a fluid in film geometry, following an instantaneous quench to the critical temperature $T_c$ as well as to supercritical…

Statistical Mechanics · Physics 2018-09-25 Markus Gross , Andrea Gambassi , S. Dietrich

Mesoscopic particles immersed in a critical fluid experience long-range Casimir forces due to critical fluctuations. Using field theoretical methods, we investigate the Casimir interaction between two spherical particles and between a…

Condensed Matter · Physics 2009-10-28 E. Eisenriegler , U. Ritschel

We consider the three-dimensional Ising model in a $L_\perp \times L_\parallel \times L_\parallel$ cuboid geometry with finite aspect ratio $\rho = L_\perp/L_\parallel$ and periodic boundary conditions along all directions. For this model…

Statistical Mechanics · Physics 2011-05-04 Alfred Hucht , Daniel Grüneberg , Felix M. Schmidt

Within mean-field theory we determine the universal scaling function for the effective force acting on a single colloid located near the interface between two coexisting liquid phases of a binary liquid mixture close to its critical…

Soft Condensed Matter · Physics 2015-06-22 Adam D. Law , Ludger Harnau , Matthias Troendle , Siegfried Dietrich

We study the normal and lateral effective critical Casimir forces acting on a spherical colloid immersed in a critical binary solvent and close to a chemically structured substrate with alternating adsorption preference. We calculate the…

Soft Condensed Matter · Physics 2009-12-17 M. Tröndle , S. Kondrat , A. Gambassi , L. Harnau , S. Dietrich

We determine the scaling functions describing the crossover from Ising-like critical behavior to classical critical behavior in two-dimensional systems with a variable interaction range. Since this crossover spans several decades in the…

Statistical Mechanics · Physics 2009-10-30 Erik Luijten , Henk W. J. Blöte , Kurt Binder

Casimir forces in a critical media are produced by spatial suppression of order parameter fluctuations. In this paper we address the question how fluctuations of a critical media relates the magnitude of critical Casimir interactions.…

Statistical Mechanics · Physics 2019-01-02 Oleg A. Vasilyev

The Casimir effect in quantum electrodynamics (QED) is perhaps the best-known example of fluctuation-induced long-ranged force acting on objects (conducting plates) immersed in a fluctuating medium (quantum electromagnetic field in vacuum).…

Statistical Mechanics · Physics 2009-07-13 Andrea Gambassi