Anisotropy-independent packing of confined hard ellipses

Basurto, Eduardo; Gurin, Péter; Varga, Szabolcs; Odriozola, Gerardo

doi:10.1016/j.molliq.2021.115896

Cited by 10 publications

(6 citation statements)

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“…Note, that in strongly confined systems (1 < h ≤ 2) of discorectangles or ellipses, rich phase behavior in the dependence of the value on the particles' aspect ratio has recently been reported [38,52]. For small values of the aspect ratio (ε = 1−5), the values of the mean coverage φ showed saturation for larger distances between the walls (h > 10).…”

Section: Resultsmentioning

confidence: 88%

Connectedness percolation in the random sequential adsorption packings of elongated particles

et al. 2021

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The behavior of a system of two-dimensional elongated particles (discorectangles) packed into a slit between two parallel walls was analyzed using a simulation approach. The packings were produced using the random sequential adsorption model with continuous positional and orientational degrees of freedom. The aspect ratio (length-to-width ratio, ε = l/d) of the particles was varied within the range ε ∈ [1; 32] while the distance between the walls was varied within the range h/d ∈ [1; 80]. The properties of the deposits when in the jammed state (the coverage, the order parameter, and the longrange (percolation) connectivity between particles) were studied numerically. The values of ε and h significantly affected the structure of the packings and the percolation connectivity. In particular, the observed nontrivial dependencies of the jamming coverage ϕ(ε) or ϕ(h) were explained by the interplay of the different geometrical factors related to confinement, particle orientation degrees of freedom and excluded volume effects.

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Section: Resultsmentioning

confidence: 88%

Connectedness percolation in the random sequential adsorption packings of elongated particles

et al. 2021

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“…On the other hand, such columnar structures of spheres have been observed for a variety of experimental systems at both the micro- [50][51][52][53][54][55][56] and the nano-scale [57][58][59][60][61][62][63]. This problem of confined packings has recently been extended to shape-anisotropic particles [13,14,36,37], for which a variety of confinementinduced crystal structures with specific orientational order have been discovered.…”

Section: Introductionmentioning

confidence: 99%

“…Prominent examples include the application of the face-centered cubic (fcc) and hexagonal close-packed (hcp) structures as models for bulk crystal structures of solids [4] and the application of random close packings as models for bulk amorphous structures of liquids [3,6]. In contrast to these examples for bulk systems, the past few decades have seen an uprising interest in the packings of particles in confined settings, such as those of particles confined within a two-dimensional box [7,8], within a parallel strip [9][10][11][12][13][14], within a spherical container [15,16], within a cylindrical container [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36], onto a cylindrical surface [37], between parallel plates [38][39][40][41][42][43][44][45][46], within a wedge cell [47,48], or within a flexible conta...…”

Section: Introductionmentioning

confidence: 99%

Densest-Packed Columnar Structures of Hard Spheres: An Investigation of the Structural Dependence of Electrical Conductivity

Chan

2021

Front. Phys.

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Identical hard spheres in cylindrical confinement exhibit a rich variety of densest-packed columnar structures. Such structures, which generally vary with the corresponding cylinder-to-sphere diameter ratio D, serve as structural models for a variety of experimental systems at the micro- or nano-scale. In this research, the electrical conductivity as a function of D has been studied for four different types of such columnar structures. It was found that, for increasing D, the electrical conductivity of each type of structures decreases monotonously, as a result of the system’s resistive components becoming more densely packed along the long axis of the cylindrical space. However, there exists a discontinuous rise in the system’s electrical conductivity at D=1+3/2 (discontinuous zigzag-to-single-helix transition) and D = 2 (discontinuous double-helix-to-double-helix transition), respectively, as a result of the establishment of additional conducting paths upon an abrupt increase in the number of inter-particle contacts. This is not the case for the continuous single-helix-to-double-helix transition at D=1+43/7. The results, which tell us how the system’s electrical conductivity can be tuned through a variation of D, could serve as a guide for the development of quasi-one-dimensional materials with a structurally tunable electrical conductivity.

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“…Anisotropic shape of building blocks has been shown to alter macroscopic behavior of granular matter 6 and influence mechanical properties of nanoparticle assemblies, 7 and can be exploited in the design of self-assembled structures and materials with desired properties. 8 In particular, packing of anisotropic hard objects in Euclidean geometries has been extensively studied during the last two decades, with development of theoretical models [9][10][11] and research on different particle shapes, 12,13 effects of confinement, [14][15][16][17] and new methods to describe structural properties of jammed states 18,19 continuing to this day. In comparison to packings of spherical particles, anisotropy introduces additional degrees of freedom into the system and in turn allows for denser packing configurations for all aspherical shapes in three dimensions, 10,20 with asphericity in general influencing the packing density in a non-monotonic way.…”

Section: Introductionmentioning

confidence: 99%

“…33 Besides particle shape, confinement also significantly affects packing properties-most notably its density-both for spherical particles 34,35 and anisotropic particles such as rods and ellipses. 16,17,36,37 In two dimensions, one can consider systems on a sphere as a peculiar case of confinement that arises due to the compactness of the spherical surface, replete with obligatory topological defects. 38,39 The question of optimal packing of circles on the sphere was first posed by Tammes already in 1930 40 and has been well-researched since, [41][42][43][44] with studies of jamming having been extended to different surfaces with positive curvature.…”

Section: Introductionmentioning

confidence: 99%