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When massless excitations are limited or modified by the presence of material bodies one observes a force acting between them generally called Casimir force. Such excitations are present in any fluid system close to its true bulk critical…

Statistical Mechanics · Physics 2016-10-05 Daniel M Dantchev , Vassil M Vassilev , Peter A Djondjorov

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

When masless excitations are limited or modified by the presence of material bodies one observes a force atcing between them generally called Casimir force. Such excitations are present in any fluid system close to its true bulk critical…

Statistical Mechanics · Physics 2016-04-27 Daniel M. Dantchev , Vassil M. Vassilev , Peter A. Djondjorov

Exploiting the mapping between a binary mixture and the Ising model we have analyzed the critical fluctuations by means of the density-matrix renormalization group technique. The calculations have been carried out for a two-dimensional…

Statistical Mechanics · Physics 2015-02-11 Małgorzata Zubaszewska , Andrej Gendiar , Tomasz Masłowski

Recent experiments suggest that membranes of living cells are tuned close to a miscibility critical point in the 2D Ising universality class. We propose that one role for this proximity to criticality in live cells is to provide a conduit…

Quantitative Methods · Quantitative Biology 2013-05-30 Benjamin B. Machta , Sarah L. Veatch , James P. Sethna

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

We study critical Casimir forces (CCF) $f_{\mathrm C}$ for films of thickness $L$ which in the three-dimensional bulk belong to the Ising universality class and which are exposed to random surface fields (RSF) on both surfaces. We consider…

Statistical Mechanics · Physics 2015-06-23 A. Maciolek , O. Vasilyev , V. Dotsenko , S. Dietrich

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

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

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

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

We present an experimental and theoretical study of the phase behavior of a binary mixture of colloids with opposite adsorption preferences in a critical solvent. As a result of the attractive and repulsive critical Casimir forces, the…

Soft Condensed Matter · Physics 2011-10-03 O. Zvyagolskaya , A. J. Archer , C. Bechinger

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

If two ore more bodies are immersed in a critical fluid critical fluctuations of the order parameter generate long ranged forces between these bodies. Due to the underlying mechanism these forces are close analogues of the well known…

Soft Condensed Matter · Physics 2009-10-30 M. Krech

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

Finite size effect in critical systems can be interpreted as universal Casimir forces. Here we compare the Casimir force for free, periodic and antiperiodic boundary conditions in the exactly calculable case of the Ising model in one and…

Statistical Mechanics · Physics 2010-01-08 Roya Zandi , Joseph Rudnick , Aviva Shackell , Douglas Abraham

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

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

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

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$…