Structural Properties of Complex Plasmas in a Homogeneous dc Discharge

Mitic, Slobodan; Klumov, B. A.; Konopka, Uwe; Thoma, Markus H.; Morfill, G. E.

doi:10.1103/physrevlett.101.125002

Cited by 48 publications

(43 citation statements)

References 18 publications

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“…When we have the gravitation perpendicular to the symmetry axis, the structure moves downward as a whole and the shells become compressed in the direction of the gravity as naturally expected. In experiments on the ground, deformed shell structure has been observed (Mitic et al 2008). In our experiments, distributions of particles with circular cross section are observed under microgravity and deformed shells are observed on the ground.…”

Section: Effect Of Discreteness: Numerical Simulationmentioning

confidence: 74%

Behavior of dust particles in cylindrical discharges: Structure formation, mixture and void, effect of gravity

Totsuji

2014

J. Plasma Phys.

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Theoretical and numerical works on dusty plasmas with cylindrical symmetry are presented. The main purpose has been to investigate behavior of dust particles in strongly coupled dusty plasmas which are expected to be realized in the planned experiments by PK-4 on the International Space Station and experiments by PK-4J, a similar apparatus constructed in Japan. The distribution of dust particles is analyzed on the basis of the drift-diffusion equations and, with the effect of discreteness taken into account, structure formations are numerically simulated.

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Section: Effect Of Discreteness: Numerical Simulationmentioning

confidence: 74%

Behavior of dust particles in cylindrical discharges: Structure formation, mixture and void, effect of gravity

Totsuji

2014

J. Plasma Phys.

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“…The particles with sizes of usually several µm are inserted into radio-frequency (RF) [22,21,23,59] or DC discharges [60,61] of inert gases in plasma reactors, and can be made observable to the eye and to video cameras by scattering of visible laser light. External parameters such as the reactor geometry, gas pressure, discharge conditions and particle composition and size determine the particle charge and temperature and therefore the dynamical behavior and the state of order of the system.…”

Section: Chapter 2 Complex Plasmasmentioning

confidence: 99%

Phase Transitions in Two-Dimensional Complex Plasmas

Knapek¹

2011

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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 Complex Plasmas in a Homogeneous dc Discharge

Cited by 48 publications

References 18 publications

Behavior of dust particles in cylindrical discharges: Structure formation, mixture and void, effect of gravity

Behavior of dust particles in cylindrical discharges: Structure formation, mixture and void, effect of gravity

Phase Transitions in Two-Dimensional Complex Plasmas

Structural Properties of Dense Hard Sphere Packings

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