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Garcia, R.; Chan, Moses H. W.

doi:10.1103/physrevlett.88.086101

Cited by 118 publications

(214 citation statements)

References 37 publications

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“…Experimentally, critical Casimir forces have been first measured indirectly by studying the thickness of thin wetting films upon passing thermodynamically a critical end point in the phase diagram of the fluid [13,14]. For classical binary liquid mixtures [15,16] as well as for quantum binary liquids 3 He / 4 He [17,18] and liquid 4 He [19,20] such experiments have provided evidence of the critical Casimir effect in agreement with theoretical results obtained via Monte Carlo (MC) simulations [21][22][23][24][25][26].…”

Section: Introductionsupporting

confidence: 56%

Alignment of cylindrical colloids near chemically patterned substrates induced by critical Casimir torques

et al. 2014

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Recent experiments have demonstrated a fluctuation-induced lateral trapping of spherical colloidal particles immersed in a binary liquid mixture near its critical demixing point and exposed to chemically patterned substrates. Inspired by these experiments, we study this kind of effective interaction, known as the critical Casimir effect, for elongated colloids of cylindrical shape. This adds orientational degrees of freedom. When the colloidal particles are close to a chemically structured substrate, a critical Casimir torque acting on the colloids emerges. We calculate this torque on the basis of the Derjaguin approximation. The range of validity of the latter is assessed via mean-field theory. This assessment shows that the Derjaguin approximation is reliable in experimentally relevant regimes, so that we extend it to Janus particles endowed with opposing adsorption preferences. Our analysis indicates that critical Casimir interactions are capable of achieving well-defined, reversible alignments both of chemically homogeneous and of Janus cylinders.

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Section: Introductionsupporting

confidence: 56%

Alignment of cylindrical colloids near chemically patterned substrates induced by critical Casimir torques

et al. 2014

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“…This would invalidate the current understanding of finite-size scaling. In particular these results can lead to the expectation of a nonuniversal Casimir force at T c for a fluid between parallel plates at a distance L. If correct this would be of major theoretical [6,48,49] and experimental interest [50,51,52]. Specifically, based on exact results for the O(n) symmetric φ 4 field theory in the large-n limit (mean spherical model), the authors of Ref.…”

Section: B Finite Size Scalingmentioning

confidence: 99%

“…From the experiment in Ref. [52] there is robust evidence that Dirichlet boundary conditions do not apply for the superfluid order parameter of 3 He-4 He in the tricritical regime, because contrary to the case of pure 4 He [51] a thickening of the wetting layer has been observed caused by a repulsive tricritical Casimir force. This observation rules out pure Dirichlet boundary conditions in this case, because these can only account for attractive Casimir forces as observed in pure 4 He [48,51].…”

mentioning

confidence: 99%

“…(3.5) nor Eq. (4.1) applies to confined superfluid 4 He or 3 He-4 He mixtures [48] which have been under investigation in recent experiments [51,52]. For superfluid 4 He the long-ranged finite-size contributions to the free energy originate from two distinct sources: (i) a regular contribution from the dispersion forces which couple to the fluid density and which are unrelated to the superfluid order parameter, (ii) a singular contribution from the superfluid order parameter which is generically shortranged in nature and does not relate to the presence of dispersion forces [48].…”

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confidence: 99%

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Universality of the thermodynamic Casimir effect

2003

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Recently a nonuniversal character of the leading spatial behavior of the thermodynamic Casimir force has been reported [X. S. Chen and V. Dohm, Phys. Rev. E 66, 016102 (2002)]. We reconsider the arguments leading to this observation and show that there is no such leading nonuniversal term in systems with short-ranged interactions if one treats properly the effects generated by a sharp momentum cutoff in the Fourier transform of the interaction potential. We also conclude that lattice and continuum models then produce results in mutual agreement independent of the cutoff scheme, contrary to the aforementioned report. All results are consistent with the universal character of the Casimir force in systems with short-ranged interactions. The effects due to dispersion forces are discussed for systems with periodic or realistic boundary conditions. In contrast to systems with short-ranged interactions, for L/ξ ≫ 1 one observes leading finite-size contributions governed by power laws in L due to the subleading long-ranged character of the interaction, where L is the finite system size and ξ is the correlation length.

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“…Let us note, that the critical Casimir effect has been already directly observed, utilizing light scattering measurements, in the interaction of a colloid spherical particle with a plate [42] both of which are immersed in a binary liquid mixture. The effect has been also studied in 4 He [43], [44], as well as in 3 He- 4 He mixtures [45] in the context of forces that determine the properties of a film of a substance in the vicinity of its bulk critical point. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Critical and near-critical phase behavior and interplay between the thermodynamic Casimir and van der Waals forces in a confined nonpolar fluid medium with competing surface and substrate potentials

Valchev

Dantchev

2015

Phys. Rev. E

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We study, using general scaling arguments and mean-field type calculations, 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 some fluctuating fluid medium, say a non-polar one-component fluid or a binary liquid mixture. The surfaces of the slabs are coated by thin layers exerting strong preference to the liquid phase of the fluid, or one of the components of the mixture, modeled by strong adsorbing local surface potentials ensuring the so-called (+, +) boundary conditions. The slabs, on the other hand, influence the fluid by long-range competing dispersion potentials, which represent irrelevant interactions in renormalization group sense. Under such conditions one usually expects attractive Casimir force governed by universal scaling function, pertinent to the extraordinary surface universality class of Ising type systems, to which the dispersion potentials provide only corrections to scaling. We demonstrate, however, that below a given threshold thickness of the system L crit for a suitable set of slabs-fluid and fluid-fluid coupling parameters the competition between the effects due to the coatings and the slabs can result in sign change of the Casimir force acting between the surfaces confining the fluid when one changes the temperature T , the chemical potential of the fluid µ, or L. The last implies that by choosing specific materials for the slabs, coatings and the fluid for L L crit one can realize repulsive Casimir force with non-universal behavior which, upon increasing L, gradually turns into an attractive one described by an universal scaling function, depending only on the relevant scaling fields related to the temperature and the excess chemical potential, for L L crit . We presented arguments and relevant data for specific substances in support of the experimental feasibility of the predicted behavior of the force. It can be of interest, e.g., for designing nano-devices and for governing behavior of objects, say colloidal particles, at small distances. We have formulated the corresponding criterion for determination of L crit . The universality is regained for L L crit . We have also shown that for systems with L L crit the capillary condensation phase diagram suffers modifications which one does not observe in systems with purely short-ranged interactions.

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Critical Casimir Effect near theH3e−H4

Cited by 118 publications

References 37 publications

Alignment of cylindrical colloids near chemically patterned substrates induced by critical Casimir torques

Alignment of cylindrical colloids near chemically patterned substrates induced by critical Casimir torques

Universality of the thermodynamic Casimir effect

Critical and near-critical phase behavior and interplay between the thermodynamic Casimir and van der Waals forces in a confined nonpolar fluid medium with competing surface and substrate potentials

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