Critical Casimir forces and anomalous wetting

Balibar, S.; Ishiguro, R.

doi:10.1007/bf02704580

Cited by 10 publications

(10 citation statements)

References 25 publications

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“…Since the lambda transition of Helium involves a (realvalued) two-component order parameter, this O(2) case is of potential relevance for Casimir forces in confined liquid He. In the case of 3 He-4 He mixtures in contact with a substrate (see, e.g., [58,59]), 4 He usually gets enriched near the wall and a superfluid surface film may form there. Since order-parameter correlations decay algebraically in it, the bulk transition in the presence of such a critical surface phase is reminiscent of the special transition.…”

Section: Summary and Concluding Remarksmentioning

confidence: 99%

Thermodynamic Casimir effects involving interacting field theories with zero modes

2008

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Systems with an O(n) symmetrical Hamiltonian are considered in a d-dimensional slab geometry of macroscopic lateral extension and finite thickness L that undergo a continuous bulk phase transition in the limit L → ∞. The effective forces induced by thermal fluctuations at and above the bulk critical temperature Tc,∞ (thermodynamic Casimir effect) are investigated below the upper critical dimension d * = 4 by means of field-theoretic renormalization group methods for the case of periodic and special-special boundary conditions, where the latter correspond to the critical enhancement of the surface interactions on both boundary planes. As shown previously [Europhys. Lett. 75, 241 (2006)], the zero modes that are present in Landau theory at Tc,∞ make conventional RG-improved perturbation theory in 4−ǫ dimensions ill-defined. The revised expansion introduced there is utilized to compute the scaling functions of the excess free energy and the Casimir force for temperatures T ≥ Tc,∞ as functions of L ≡ L/ξ∞, where ξ∞ is the bulk correlation length. Scaling functions of the L-dependent residual free energy per area are obtained whose L → 0 limits are in conformity with previous results for the Casimir amplitudes ∆C to O(ǫ 3/2 ) and display a more reasonable small-L behavior inasmuch as they approach the critical value ∆C monotonically as L → 0. Extrapolations to d = 3 for the Ising case n = 1 with periodic boundary conditions are in fair agreement with Monte Carlo results. In the case of special-special boundary conditions, extrapolations to d = 3 are hampered by the fact that the one-loop result for the inverse finite-size susceptibility becomes negative for some values of L when ǫ 0.83.

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Section: Summary and Concluding Remarksmentioning

confidence: 99%

Thermodynamic Casimir effects involving interacting field theories with zero modes

2008

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“…These results suggest the non-collapse is the result of inadequate corrections for the effects of surface roughness and not due to ϑ depending on the additional off-coexistence variable hd ∆/ν where ∆/ν = 2.47 [5]. This is expected to have important implications for the analysis of specific heat and wetting experiments [2,3,15].…”

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confidence: 92%

Critical Casimir Force inHe4Films: Confirmation of Finite-Size Scaling

et al. 2006

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We present new capacitance measurements of critical Casimir force-induced thinning of 4He films near the superfluid transition, focused on the region below Tlambda where the effect is the greatest. 4He films of 238, 285, and 340 A thickness are adsorbed on atomically smooth, N-doped silicon substrates. The Casimir force scaling function theta, deduced from the thinning of these three films, collapses onto a single universal curve, attaining a minimum theta=-1.30+/-0.03 at x=td1/nu=-9.7+/-0.8 A1/nu. The collapse confirms the finite-size scaling origin of the dip in the film thickness. Separately, we also confirm the presence down to 2.13 K of the Goldstone or surface fluctuation force, which makes the superfluid film approximately 2 A thinner than the normal film.

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“…B also shows a sharp decrease near D/R = 0, for the same reasons described above. Critical Casimir forces should depend sensitively on the size of the correlation length ξ, which diverges near the critical point [14,15,17,18,26]. However, as mentioned previously, the jamming transition resembles a random first-order transition [67], and involves the divergence of multiple length scales, some of which have only recently been illuminated in detail [51,68].…”

Section: Resultsmentioning

confidence: 90%

“…While the original Casimir force is of purely quantum origin, there are analogous interactions that arise from the confinement of fluctuations in classical systems [13][14][15]. Perhaps the best known example of these is the critical Casimir force described by Fisher and de Gennes [16].…”

Section: Introductionmentioning

confidence: 99%

Casimir effect between pinned particles in two-dimensional jammed systems

Liétor-Santos

Burton

2017

Soft Matter

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The Casimir effect arises when long-ranged fluctuations are geometrically confined between two surfaces, leading to a macroscopic force. Traditionally, these forces have been observed in quantum systems and near critical points in classical systems. Here we show the existence of Casimir-like forces between two pinned particles immersed in two-dimensional systems near the jamming transition. We observe two components to the total force: a short-ranged, depletion force and a longranged, repulsive Casimir-like force. The Casimir-like force dominates as the jamming transition is approached, and when the pinned particles are much larger than the ambient jammed particles. We show that this repulsive force arises due to a clustering of particles with strong contact forces around the perimeter of the pinned particles. As the separation between the pinned particles decreases, a region of high-pressure develops between them, leading to a net repulsive force.

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Critical Casimir forces and anomalous wetting

Cited by 10 publications

References 25 publications

Thermodynamic Casimir effects involving interacting field theories with zero modes

Thermodynamic Casimir effects involving interacting field theories with zero modes

Critical Casimir Force inHe4Films: Confirmation of Finite-Size Scaling

Casimir effect between pinned particles in two-dimensional jammed systems

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