Kinetic development of crystallization fronts in complex plasmas

Rubin-Zuzic, M.; Morfill, G. E.; Ivlev, A. V.; Pompl, R.; Klumov, B. A.; Bunk, W.; Thomas, Hubertus M.; Rothermel, H.; Havnes, O.; Fouquét, A.

doi:10.1038/nphys242

Cited by 110 publications

(75 citation statements)

References 18 publications

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“…To define the local structural properties of the system we use the bond order parameter method [9], which has been widely used in the context of condensed matter physics [9,10], HS systems [11][12][13][14][15][16][17][18][19][20], complex plasmas [21][22][23][24][25], colloidal suspensions [26][27][28][29][30], granular media [31], etc. In this method the rotational invariants of rank l of both second q l (i) and third w l (i) order are calculated for each sphere i in the system from the vectors (bonds) connecting its center with the centers of its N nn (i) nearest neighboring spheres: (2) where…”

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confidence: 99%

Structural Properties of Dense Hard Sphere Packings

Klumov

Jin²,

Makse³

2014

J. Phys. Chem. B

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The structural properties of dense random packings of identical hard spheres (HS) are investigated. The bond order parameter method is used to obtain detailed information on the local structural properties of the system for different packing fractions φ, in the range between φ = 0.53 and φ = 0.72. A new order parameter, based on the cumulative properties of spheres distribution over the rotational invariant w6, is proposed to characterize crystallization of randomly packed HS systems. It is shown that an increase in the packing fraction of the crystallized HS system first results in the transformation of the individual crystalline clusters into the global three-dimensional crystalline structure, which, upon further densification, transforms into alternating planar layers formed by different lattice types.The model of hard spheres (HS) is of fundamental importance in condensed matter physics and material science since it successfully reproduces the essential structural properties of liquids, crystals, glasses, colloidal suspensions and granular media. Packings of HS have also been used in solving important problems of information and optimization theories [1,2]. In this Letter we focus on the structural properties of dense three dimensional (3D) HS systems at different packing fractions φ = π 6 ρσ 3 , where ρ = N/V is the density of N hard spheres in a system volume V and σ is the diameter of the spheres. In particular, we take a large set of packings composed of N = 10 4 identical spheres with periodic boundary conditions, generated using Jodrey-Tory (JT) [5,6] and Lubashevsky-Stillinger (LS) [7] algorithms as described in detail in Refs. [3,4]. The corresponding packing fractions vary in the ranges φ ≃ 0.53 − 0.71 and φ = 0.58 − 0.68 for JT and LS protocols, respectively. Both ranges include the random close packing state (RCP) at φ c ≃ 0.64 (Bernal limit) [8]. The main purpose is to look into the details on how densification of the disordered solid state affects the local and global order of the HS system.To define the local structural properties of the system we use the bond order parameter method [9], which has been widely used in the context of condensed matter physics [9,10] In this method the rotational invariants of rank l of both second q l (i) and third w l (i) order are calculated for each sphere i in the system from the vectors (bonds) connecting its center with the centers of its N nn (i) nearest neighboring spheres: (2) whereY lm (r ij ), Y lm are the spherical harmonics and r ij = r i −r j are vectors connecting centers of spheres i and j. In Eq. (2) l l l m 1 m 2 m 3 are the Wigner 3j-symbols, and the summation in the latter expression is performed over all the indexes m i = −l, ..., l satisfying the condition m 1 + m 2 + m 3 = 0. In 3D the densest possible packings of identical hard spheres are known to be face centered cubic (fcc) and hexagonal close-packed (hcp) lattices (φ ≃ 0.74). To detect these structures we calculate the rotational invariants q 4 , q 6 , and w 6 for each sphere using the ...

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Structural Properties of Dense Hard Sphere Packings

Klumov

Jin²,

Makse³

2014

J. Phys. Chem. B

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“…It might also be important for granulates [32] where the Peclet number is high, and for crystallization in complex plasma [33]. [23] and hydrodynamic interactions [11,34,35] on crystal growth remains for future exploration.…”

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confidence: 99%

Huge broadening of the crystal-fluid interface for sedimenting colloids

Allahyarov¹,

Löwen²

2011

EPL

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For sedimenting colloidal hard spheres, the propagation and broadening of the crystal-fluid interface is studied by Brownian dynamics computer simulations of an initially homogeneous sample.Two different types of interface broadenings are observed: the first occurs during growth and is correlated with the interface velocity, the second is concomitant with the splitting of the crystalfluid interface into the crystal-amorphous and amorphous-liquid interfaces. The latter width is strongly peaked as a function of the gravitational driving strength with a huge amplitude relative to its equilibrium counterpart.

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“…The main goal of PK-3 Plus is to study in detail all aspects of condensed complex plasma [32]. That is, the liquid and solid state of complex plasmas and the melting and crystallization dynamics [33,34]. In addition PK-3 Plus is intended to investigate physics at the critical point and multi-component complex plasmas.…”

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Non-equilibrium phase transitions in complex plasma

Sütterlin

Wysocki

Räth

et al. 2010

Plasma Phys. Control. Fusion

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Complex plasma being the 'plasma state of soft matter' is especially suitable for investigations of non-equilibrium phase transitions. Non-equilibrium phase transitions can manifest in dissipative structures or self-organization. Two specific examples are lane formation and phase separation. Using the permanent microgravity laboratory PK-3 Plus, operating onboard the International Space Station, we performed unique experiments with binary mixtures of complex plasmas that showed both lane formation and phase separation. These observations have been augmented by comprehensive numerical and theoretical studies. In this paper we present an overview of our most important results. In addition we put our results in context with research of complex plasmas, binary systems and non-equilibrium phase transitions. Necessary and promising future complex plasma experiments on phase separation and lane formation are briefly discussed.

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Kinetic development of crystallization fronts in complex plasmas

Cited by 110 publications

References 18 publications

Structural Properties of Dense Hard Sphere Packings

Structural Properties of Dense Hard Sphere Packings

Huge broadening of the crystal-fluid interface for sedimenting colloids

Non-equilibrium phase transitions in complex plasma

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