Coulomb lattice in a weakly ionized colloidal plasma

Chu, Junhao; Lin, I‐Nan

doi:10.1016/0378-4371(94)90498-7

Cited by 167 publications

(101 citation statements)

References 26 publications

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“…The first is to put them in a trap, that is, to add an external potential N j=1 V ext (x j ) to the energy, with V ext (x) → +∞ when |x| → ∞. This is now done in the laboratory [56,128,230,231], although a large number of particles is still difficult to reach. We discuss this possibility in Section 2.7.1 below.…”

Section: Coulomb Potential Andmentioning

confidence: 99%

See 1 more Smart Citation

The crystallization conjecture: a review

Blanc¹,

Lewin²

2015

EMS Surv. Math. Sci.

134

191

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In this article we describe the crystallization conjecture. It states that, in appropriate physical conditions, interacting particles always place themselves into periodic configurations, breaking thereby the natural translation-invariance of the system. This famous problem is still largely open. Mathematically, it amounts to studying the minima of a real-valued function defined on R 3N where N is the number of particles, which tends to infinity. We review the existing literature and mention several related open problems, of which many have not been thoroughly studied.

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Section: Coulomb Potential Andmentioning

confidence: 99%

“…We refer to [126] for a general presentation of the problem and numerical simulations. Coulomb crystals in traps are now produced in the laboratory, since the 90s [56,128,230,231].…”

Section: 7mentioning

confidence: 99%

The crystallization conjecture: a review

Blanc¹,

Lewin²

2015

EMS Surv. Math. Sci.

134

191

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show abstract

“…After the prediction, efforts to observe the Coulomb crystal began in many laboratories. In 1994, the solid phase was successfully observed [2][3][4][5] . Since the Coulomb crystal is strongly deformed by the gravity on the earth, the microgravity environment is very helpful to understand the physics of the Coulomb crystals.…”

Section: Introductionmentioning

confidence: 85%

Temperature Measurement of Coulomb Crystal in Complex Plasmas

Adachi

Totsuji

Takahashi³

2014

AEROSPACE TECHNOLOGY JAPAN

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In order to obtain the particle temperature in complex plasmas, a new method based on the pair distribution function (PDF) is investigated. From the PDF, the mean square displacement is obtained. To estimate the temperature, the particle motion is also traced. The fast Fourier transform (FFT) analysis of the motion data indicates that the fundamental and second harmonic frequencies are found. The model for a single frequency is expanded to calculate the temperature under the multiple frequencies conditions. The temperature is estimated to be 0.08 to 0.17 eV. This is consistent with the temperature obtained from the conventional method.

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“…To take into account nonlinear effects within the PB approach we have to solve equation (1) numerically avoiding additional assumptions like in (2). For a hard sphere of the radius a and charge Ze, the problem can be re-formulated with allowance for the spherical symmetry, in a dimensionless form as follows:…”

Section: Formulation Of the Problem And Numerical Computationsmentioning

confidence: 99%

“…Colloidal plasmas, such as dusty plasmas and charged colloidal suspensions, in the recent years have attracted considerable attention as physical systems where interesting space ordering phenomena may be observed [1][2][3]. Typically, colloidal plasmas consist of a large number of highly charged (Z ≃ 10 3 ÷ 10 6 ) colloidal particles (grains) immersed in a weakly coupled plasma background.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Phenomena in Screening of Highly Charged Grains in Plasmas

Bystrenko¹,

Zagorodny²

1998

Condens. Matter Phys.

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Nonlinear effects in screening a high-Z grain immersed in a plasma background were investigated by means of microscopic Monte-Carlo simulations and within the Poisson-Boltzmann theory. A distinct difference from the linear Debye-Hückel approximation was detected in the case of a strong plasma-grain coupling. It effected in the accumulation of the induced plasma charge on the grain surface, accompanied by a sharp enhancement of screening. The critical value of the parameter associated with the beginning of that plasma 'condensation' was determined.

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Coulomb lattice in a weakly ionized colloidal plasma

Cited by 167 publications

References 26 publications

The crystallization conjecture: a review

The crystallization conjecture: a review

Temperature Measurement of Coulomb Crystal in Complex Plasmas

Nonlinear Phenomena in Screening of Highly Charged Grains in Plasmas

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