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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

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

Systems described by an O(n) symmetrical $\phi^4$ Hamiltonian are considered in a $d$-dimensional film geometry at their bulk critical points. A detailed renormalization-group (RG) study of the critical Casimir forces induced between the…

Statistical Mechanics · Physics 2012-02-22 H. W. Diehl , Felix M. Schmidt

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

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

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

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

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…

Systems described by an O(n) symmetrical $\phi^4$ Hamiltonian are considered in a $d$-dimensional film geometry at their bulk critical points. The critical Casimir forces between the film's boundary planes $\mathfrak{B}_j, j=1,2$, are…

Statistical Mechanics · Physics 2008-11-26 Felix M. Schmidt , H. W. Diehl

The confinement of critical fluctuations in soft media induces critical Casimir forces acting on the confining surfaces. The temperature and geometry dependences of such forces are characterized by universal scaling functions. A novel…

Statistical Mechanics · Physics 2008-01-10 O. Vasilyev , A. Gambassi , A. Maciolek , S. Dietrich

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

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 investigate the effect of quenched surface disorder on effective interactions between two planar surfaces immersed in fluids which are near criticality and belong to the Ising bulk universality class. We consider the case that, in the…

Statistical Mechanics · Physics 2017-12-06 A. Maciolek , O. Vasilyev , V. Dotsenko , S. Dietrich

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

We experimentally demonstrate that critical Casimir forces in colloidal systems can be continuously tuned by the choice of boundary conditions. The interaction potential of a colloidal particle in a mixture of water and 2,6-lutidine has…

Soft Condensed Matter · Physics 2009-10-23 Ursula Nellen , Laurent Helden , Clemens Bechinger

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 consider systems with slab geometry of finite thickness L that undergo second order phase transitions in the bulk limit and belong to the universality class of O(n)-symmetric systems with short-range interactions. In these systems the…

Statistical Mechanics · Physics 2012-07-04 Denis Comtesse , Alfred Hucht , Daniel Grüneberg

The Casimir force between macroscopic bodies is well understood, but not the Casimir stress inside bodies. Suppose empty space or a uniform medium meets a soft wall where the refractive index is continuous but its derivative jumps. For this…

Quantum Physics · Physics 2017-11-15 Itay Griniasty , Ulf Leonhardt

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

Effective Casimir forces induced by thermal fluctuations in the vicinity of bulk critical points are studied by means of Monte Carlo simulations in three-dimensional systems for film geometries and within the experimentally relevant Ising…

Statistical Mechanics · Physics 2009-07-13 O. Vasilyev , A. Gambassi , A. Maciolek , S. Dietrich