English
Related papers

Related papers: Critical Casimir forces between defects in the 2D …

200 papers

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 theoretically and experimentally the solvent-mediated critical Casimir force acting on colloidal particles immersed in a binary liquid mixture of water and 2,6-lutidine and close to substrates which are chemically patterned with…

After having introduced the notion of universality in statistical mechanics and its importance for our comprehension of the macroscopic behavior of interacting systems, I review recent progress in the understanding of the scaling limit of…

Mathematical Physics · Physics 2021-11-01 Alessandro Giuliani

We analyze the lateral critical Casimir force acting between two planar, chemically inhomogeneous walls confining an infinite 2D Ising strip of width $M$. The inhomogeneity of each of the walls has size $N_1$; they are shifted by the…

Statistical Mechanics · Physics 2014-08-12 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 study the thermodynamic Casimir force for films in the three-dimensional Ising universality class with symmetry breaking boundary conditions. To this end we simulate the improved Blume-Capel model on the simple cubic lattice. We study…

Statistical Mechanics · Physics 2010-10-20 Martin Hasenbusch

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

Colloids immersed in a critical or near-critical binary liquid mixture and close to a chemically patterned substrate are subject to normal and lateral critical Casimir forces of dominating strength. For a single colloid we calculate these…

Soft Condensed Matter · Physics 2010-08-18 M. Tröndle , S. Kondrat , A. Gambassi , L. Harnau , S. Dietrich

The critical Casimir effect provides a thermodynamic analogue of the well-known quantum mechanical Casimir effect. It acts between two surfaces immersed in a critical binary liquid mixture, and results from the confinement of concentration…

Soft Condensed Matter · Physics 2015-06-15 Van Duc Nguyen , Suzanne Faber , Zhibing Hu , Gerard H. Wegdam , Peter Schall

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

We investigate the universal orientation-dependent interactions between non-spherical colloidal particles immersed in a critical solvent by studying the instructive paradigm of a needle embedded in bounded two-dimensional Ising models at…

Soft Condensed Matter · Physics 2015-06-15 O. A. Vasilyev , E. Eisenriegler , S. Dietrich

A generalization of the compressible Ising model in which spins are hosted on an elastic $D$-dimensional lattice embedded in $d>D$ dimensions is studied. Two critical systems interact when temperature is tuned to the Ising transition point,…

Statistical Mechanics · Physics 2024-10-03 Abigail Plummer

The mapping between a classical length and inverse temperature as imaginary time provides a direct equivalence between the Casimir force of a classical system in $D$ dimensions and internal energy of a quantum system in $d$$=$$D$$-$$1$…

We investigate the phase behaviour of mixtures of two populations of colloidal particles dispersed in a binary solvent system near its critical composition. The surfaces of particles are chemically modified to elicit a specific solvent…

Soft Condensed Matter · Physics 2026-02-16 T. E. Kodger , N. Farahmand Bafi , M. Labbé-Laurent , E. Steijlen , A. Maciolek , P. Schall

We present general arguments and construct a stress tensor operator for finite lattice spin models. The average value of this operator gives the Casimir force of the system close to the bulk critical temperature $T_c$. We verify our…

Statistical Mechanics · Physics 2009-11-10 Daniel Dantchev , Michael Krech

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

Extended de Gennes-Fisher (EdGF) local-functional method has been applied to the thermodynamic Casimir effect {\it away} from the critical point for systems in the Ising universality class confined between parallel plane plates with…

Statistical Mechanics · Physics 2009-11-13 Z. Borjan , P. J. Upton

Molecular sorting in biological membranes is essential for proper cellular function. It also plays a crucial role in the budding of enveloped viruses from host cells. We recently proposed that this process is driven by phase separation,…

Biological Physics · Physics 2025-03-11 Damiano Andreghetti , Luca Dall'Asta , Andrea Gamba , Igor Kolokolov , Vladimir Lebedev

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

Spatial confinement of a near-critical medium changes its fluctuation spectrum and modifies the corresponding order parameter distribution. These effects result in effective, so-called critical Casimir forces (CCFs) acting on the confining…

Soft Condensed Matter · Physics 2014-03-24 T. F. Mohry , S. Kondrat , A. Maciolek , S. Dietrich