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We study the critical Casimir interaction between two spherical colloids immersed in a binary liquid mixture close to its critical demixing point. The surface of each colloid prefers one species of the mixture with the exception of a…

Statistical Mechanics · Physics 2020-04-22 Nima Farahmand Bafi , Piotr Nowakowski , Siegfried Dietrich

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 consider two-dimensional Ising strip bounded by two planar, inhomogeneous walls. The inhomogeneity of each wall is modeled by a magnetic field acting on surface spins. It is equal to $+h_1$ except for a group of $N_1$ sites where it is…

Statistical Mechanics · Physics 2016-02-15 Piotr Nowakowski , Marek Napiórkowski

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

We explicitly demonstrate the universality of critical dynamics through unprecedented large-scale GPU-based simulations of two out-of-equilibrium processes, comparing the behavior of spin-$1/2$ Ising and spin-$1$ Blume-Capel models on a…

Systems as diverse as binary mixtures and inclusions in biological membranes, and many more, can be described effectively by interacting spins. When the critical fluctuations in these systems are constrained by boundary conditions, critical…

Statistical Mechanics · Physics 2019-01-23 Jerome Dubail , Raoul Santachiara , Thorsten Emig

Extensive Monte Carlo simulations in the semi-grand-canonical ensemble are used to study the critical behavior of a three-dimensional compressible Ising model with antiferromagnetic interactions under constant volume conditions. Elastic…

Statistical Mechanics · Physics 2009-11-10 Luigi Cannavacciuolo , D. P. Landau

The exact critical Casimir force between periodically deformed boundaries of a 2D semi-infinite strip is obtained for conformally invariant classical systems. Only two parameters (conformal charge and scaling dimension of a boundary…

Statistical Mechanics · Physics 2015-03-03 G. Bimonte , T. Emig , M. Kardar

Many of the processes that underly neural computation are carried out by ion channels embedded in the plasma membrane, a two-dimensional liquid that surrounds all cells. Recent experiments have demonstrated that this membrane is poised…

Biological Physics · Physics 2016-07-26 Ofer Kimchi , Sarah L. Veatch , Benjamin B. Machta

In order to investigate the effects of connectivity and proximity in the specific heat, a special class of exactly solvable planar layered Ising models has been studied in the thermodynamic limit. The Ising models consist of repeated…

Statistical Mechanics · Physics 2018-06-05 Helen Au-Yang , Jacques H. H. Perk

We investigate a two-dimensional Ising model with long-range interactions that emerge from a generalization of the magnetic dipolar interaction in spin systems with in-plane spin orientation. This interaction is, in general, anisotropic…

Statistical Mechanics · Physics 2009-11-10 Daniel Grüneberg , Alfred Hucht

We investigate the behavior of colloidal particles immersed in a binary liquid mixture of water and 2,6-lutidine in the presence of a chemically patterned substrate. Close to the critical point of the mixture, the particles are subjected to…

Soft Condensed Matter · Physics 2009-11-13 F. Soyka , O. Zvyagolskaya , C. Hertlein , L. Helden , C. Bechinger

We consider a system of colloidal particles embedded in a paranematic -- an isotropic phase of a nematogenic medium above the temperature of the nematic-to-isotropic transition. In this state, the nematic order is induced by the boundary…

Analysis of PDEs · Mathematics 2025-08-08 Dmitry Golovaty , Jamie Taylor , Raghavendra Venkatraman , Arghir Zarnescu

We study mutual alignment and interactions between colloidal particles of dissimilar shapes and dimensions when dispersed in a nematic host fluid. Convex pentagonal and concave starfruit-shaped nanoprisms and microspheres induce dipolar or…

Soft Condensed Matter · Physics 2016-12-28 Bohdan Senyuk , Ivan I. Smalyukh

Using laser tweezers and fluorescence confocal polarizing microscopy, we study colloidal interactions of solid microspheres in the nematic bulk caused by elastic distortions around the particles with strong tangential surface anchoring. The…

Soft Condensed Matter · Physics 2009-11-11 I. I. Smalyukh , O. D. Lavrentovich , A. N. Kuzmin , A. V. Kachynski , P. N. Prasad

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

We investigate as a member of the Ising universality class the Next-Nearest Neighbour Ising model without external field on a simple cubic lattice by using the Monte Carlo Metropolis Algorithm. The Binder cumulant and the susceptibility…

Statistical Mechanics · Physics 2007-05-23 Melanie Schulte , Caroline Drope

Casimir forces between conductors at the sub-micron scale cannot be ignored in the design and operation of micro-electromechanical (MEM) devices. However, these forces depend non-trivially on geometry, and existing formulae and…

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

The ordering of charges on half-filled hypercubic lattices is investigated numerically, where electroneutrality is ensured by background charges. This system is equivalent to the $s = 1/2$ Ising lattice model with antiferromagnetic $1/r$…

Statistical Mechanics · Physics 2009-06-03 A. Mobius , U. K. Roessler