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We consider an ensemble of spherical colloidal particles immersed in a near-critical solvent such as a binary liquid mixture close to its critical demixing point. The emerging long-ranged fluctuations of the corresponding order parameter of…

Soft Condensed Matter · Physics 2015-06-03 T. F. Mohry , A. Maciołek , S. Dietrich

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

We present a numerical study of the effective potential $V_\mathrm{eff}$ between two hard-sphere colloids dispersed in a solvent of interacting particles, for several values of temperature and solvent density, approaching the solvent…

Soft Condensed Matter · Physics 2013-04-08 Nicoletta Gnan , Emanuela Zaccarelli , Piero Tartaglia , Francesco Sciortino

Within mean field theory, we investigate the bridging transition between a pair of parallel cylindrical colloids immersed in a binary liquid mixture as a solvent which is close to its critical consolute point $T_c$. We determine the…

Soft Condensed Matter · Physics 2017-10-11 M. Labbé-Laurent , A. D. Law , S. Dietrich

We study critical Casimir forces between planar walls and geometrically structured substrates within mean-field theory. As substrate structures, crenellated surfaces consisting of periodic arrays of rectangular crenels and merlons are…

Soft Condensed Matter · Physics 2015-05-27 M. Tröndle , L. Harnau , S. Dietrich

Based on renormalization group concepts and explicit mean field calculations we study the universal contribution to the effective force and torque acting on an ellipsoidal colloidal particle which is dissolved in a critical fluid and is…

Soft Condensed Matter · Physics 2015-05-13 S. Kondrat , L. Harnau , S. Dietrich

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

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

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 review recent advances in the theoretical, numerical, and experimental studies of critical Casimir forces in soft matter, with particular emphasis on their relevance for the structures of colloidal suspensions and on their dynamics.…

Soft Condensed Matter · Physics 2023-12-27 Andrea Gambassi , S. Dietrich

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

If colloidal solute particles are suspended in a solvent close to its critical point, they act as cavities in a fluctuating medium and thereby restrict and modify the fluctuation spectrum in a way which depends on their relative…

Soft Condensed Matter · Physics 2018-11-14 Anna Maciolek , Siegfried Dietrich

We present a systematic method to calculate the universal scaling functions for the critical Casimir force and the according potential of the two-dimensional Ising model with various boundary conditions. Therefore we start with the dimer…

Statistical Mechanics · Physics 2017-02-07 Hendrik Hobrecht , Alfred Hucht

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

We study the behavior of the critical Casimir force and its interplay with the van der Waals force acting between two parallel slabs separated at a distance $L$ from each other confining a non-polar simple fluid or a binary liquid mixture.…

Statistical Mechanics · Physics 2015-07-20 Galin Valchev , Daniel Dantchev

We consider binary liquid mixtures close to their critical points confined by two parallel, geometrically flat but chemically structured, substrates. Universal order parameters profiles are calculated within mean field theory for periodic…

Soft Condensed Matter · Physics 2009-11-11 Monika Sprenger , Frank Schlesener , 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 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

Recently there is strong experimental and theoretical interest in studying the self-assembly and the phase behavior of patchy and of Janus particles, which form colloidal suspensions. Although in this quest a variety of effective…

Soft Condensed Matter · Physics 2016-05-18 M. Labbé-Laurent , S. Dietrich

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