Rearrangement of two dimensional aggregates of droplets under compression: Signatures of the energy landscape from crystal to glass

Ono-dit-Biot, Jean-Christophe; Soulard, Pierre; Barkley, Solomon; Weeks, Eric R.; Salez, Thomas; Raphaël, Élie; Dalnoki-Veress, Kari

doi:10.1103/physrevresearch.2.023070

Cited by 10 publications

(7 citation statements)

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“…Using bubbles instead of atoms, dislocations and grain boundaries were imaged directly and mechanical properties of the assembly were studied 2 . The use of foams, emulsions, and colloids has become a powerful tool to study fundamental questions such as the glass transition [3][4][5][6][7][8] , formation and melting of crystals [9][10][11][12] , the order-to-disorder transition [13][14][15][16][17][18] and jamming [19][20][21][22][23][24] . Complex biological systems can also be modeled using foams and emulsions [25][26][27][28] .…”

Section: Introductionmentioning

confidence: 99%

Mechanical properties of 2D aggregates of oil droplets as model mono-crystals

et al. 2021

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Section: Introductionmentioning

confidence: 99%

Mechanical properties of 2D aggregates of oil droplets as model mono-crystals

et al. 2021

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“…Micropipette force sensor measurements. Micropipette force sensors have recently been extensively used in various biophysical [30][31][32][33][34][35][36][37][38][39] and soft matter 40,41 studies (see ref. 42 for a complete review and protocol and ref.…”

Section: Resultsmentioning

confidence: 99%

Water droplet friction and rolling dynamics on superhydrophobic surfaces

et al. 2020

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Superhydrophobicity is a remarkable surface property found in nature and mimicked in many engineering applications, including anti-wetting, anti-fogging, and anti-fouling coatings. As synthetic superhydrophobic coatings approach the extreme non-wetting limit, quantification of their slipperiness becomes increasingly challenging: although contact angle goniometry remains widely used as the gold standard method, it has proven insufficient. Here, micropipette force sensors are used to directly measure the friction force of water droplets moving on super-slippery superhydrophobic surfaces that cannot be quantified with contact angle goniometry. Superhydrophobic etched silicon surfaces with tunable slipperiness are investigated as model samples. Micropipette force sensors render up to three orders of magnitude better force sensitivity than using the indirect contact angle goniometry approach. We directly measure a friction force as low as 7 ± 4 nN for a millimetric water droplet moving on the most slippery surface. Finally, we combine micropipette force sensors with particle image velocimetry and reveal purely rolling water droplets on superhydrophobic surfaces.

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“…The keyword here is "optimal", and it concerns the deterministic and random packing of inclusions in R d . Studies of packing advance our knowledge about the effective properties of densely packed composites, porous and granular media, metallic glasses, and emulsions [1][2][3].…”

Section: Introductionmentioning

confidence: 99%

“…The spatially symmetric arrays of disks, i.e., the hexagonal (triangular) lattice in R 2 and the FCC or HCP lattice in R 3 , naturally arise in a deterministic statement. Random optimal packing is usually related to random-walk algorithms and their implementation (see [1][2][3][4] and references therein). In the present paper, we develop the theory of optimal random packing.…”

Section: Introductionmentioning

confidence: 99%

Optimal Random Packing of Spheres and Extremal Effective Conductivity

Mityushev

Zhunussova

2021

Symmetry

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A close relation between the optimal packing of spheres in Rd and minimal energy E (effective conductivity) of composites with ideally conducting spherical inclusions is established. The location of inclusions of the optimal-design problem yields the optimal packing of inclusions. The geometrical-packing and physical-conductivity problems are stated in a periodic toroidal d-dimensional space with an arbitrarily fixed number n of nonoverlapping spheres per periodicity cell. Energy E depends on Voronoi tessellation (Delaunay graph) associated with the centers of spheres ak (k=1,2,…,n). All Delaunay graphs are divided into classes of isomorphic periodic graphs. For any fixed n, the number of such classes is finite. Energy E is estimated in the framework of structural approximations and reduced to the study of an elementary function of n variables. The minimum of E over locations of spheres is attained at the optimal packing within a fixed class of graphs. The optimal-packing location is unique within a fixed class up to translations and can be found from linear algebraic equations. Such an approach is useful for random optimal packing where an initial location of balls is randomly chosen; hence, a class of graphs is fixed and can dynamically change following prescribed packing rules. A finite algorithm for any fixed n is constructed to determine the optimal random packing of spheres in Rd.

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Rearrangement of two dimensional aggregates of droplets under compression: Signatures of the energy landscape from crystal to glass

Cited by 10 publications

References 43 publications

Mechanical properties of 2D aggregates of oil droplets as model mono-crystals

Mechanical properties of 2D aggregates of oil droplets as model mono-crystals

Water droplet friction and rolling dynamics on superhydrophobic surfaces

Optimal Random Packing of Spheres and Extremal Effective Conductivity

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