Two-dimensional dusty plasmas can be realized experimentally and are examples of a classical many body system with a screened Coulomb interaction. After discussing experimental approaches, we present the basics of molecular dynamics simulations of dusty plasmas. A web-based platform is developed that allows users to perform molecular dynamics simulations, visualize the system for selected system parameters, and obtain results for the pair correlation function and the dispersion relation of waves in the system.

1.
D. A.
Mendis
, “
Dust in cosmic plasma environments
,”
Astrophys. Space Sci.
65
,
5
12
(
1979
).
2.
M.
Horanyi
,
H. L. F.
Houpis
, and
D. A.
Mendis
, “
Charged dust in the Earth's magnetosphere
,”
Astrophys. Space Sci.
144
,
215
229
(
1988
).
3.
H.
Kersten
,
H.
Deutsch
,
E.
Stoffels
,
W. W.
Stoffels
, and
G. M. W.
Kroesen
, “
Plasma–powder interaction: Trends in applications and diagnostics
,”
Int. J. Mass Spectrom.
223–224
,
313
325
(
2003
).
4.
J. R.
Mitchell
and
B. A.
Knollenberg
, “
New techniques move in-situ particle monitoring closer to the wafer
,”
Semicond. Int.
19
,
145
154
(
1996
).
5.
J. H.
Chu
and
I.
Lin
, “
Direct observation of Coulomb crystals and liquids in strongly coupled rf dusty plasmas
,”
Phys. Rev. Lett.
72
,
4009
4012
(
1994
).
6.
H.
Thomas
,
G. E.
Morfill
,
V.
Demmel
,
J.
Goree
,
B.
Feuerbacher
, and
D.
Mhlmann
, “
Plasma crystal: Coulomb crystallization in a dusty plasma
,”
Phys. Rev. Lett.
73
,
652
655
(
1994
).
7.
A.
Melzer
,
T.
Trottenberg
, and
A.
Piel
, “
Experimental determination of the charge on dust particles forming Coulomb lattices
,”
Phys. Lett. A
191
,
301
308
(
1994
).
8.
Strongly Coupled Coulomb Systems
, edited by
G. J.
Kalman
,
K.
Blagoev
, and
M.
Rommel
(
Plenum Press
,
New York
,
1998
);
Physics of Strongly Coupled Plasmas
, edited by
V. E.
Fortov
,
A. G.
Khrapak
, and
I. T.
Iakubov
(
Oxford U.P
.,
Oxford
,
2005
).
9.
M.
Bonitz
,
C.
Henning
, and
D.
Block
, “
Complex plasmas: A laboratory for strong correlations
,”
Rep. Prog. Phys.
73
,
066501
(
2010
).
10.
P.
Hartmann
 et al., “
Crystallization dynamics of a single layer complex plasma
,”
Phys. Rev. Lett.
105
,
115004
(
2010
).
11.
H.
Kählert
and
M.
Bonitz
, “
How spherical plasma crystals form
,”
Phys. Rev. Lett.
104
,
015001
(
2010
).
12.
R. L.
Merlino
,
J. R.
Heinrich
,
S.-H.
Hyun
, and
J. K.
Meyer
, “
Nonlinear dust acoustic waves and shocks
,”
Phys. Plasmas
19
,
057301
(
2012
).
13.
A. V.
Ivlev
 et al., “
Electrorheological complex plasmas
,”
IEEE Trans. Plasma Sci.
38
,
733
740
(
2010
).
14.
Y.
Feng
,
J.
Goree
, and
B.
Liu
, “
Viscoelasticity of 2D liquids quantified in a dusty plasma experiment
,”
Phys. Rev. Lett.
105
,
025002
(
2010
).
15.
I.
Lin
,
Ch.
Chiang
,
J.
Chu
, and
W.
Jaun
, “
Order-disorder structures in strongly coupled dusty plasmas – from Coulomb crystals to gases
,”
Chin. J. Phys.
33
,
453
465
(
1995
).
16.
A.
Homann
,
A.
Melzer
,
S.
Peters
, and
A.
Piel
, “
Determination of the dust screening length by laser-excited lattice waves
,”
Phys. Rev. E
56
,
7138
7142
(
1997
).
17.
E.
Thomas
and
M.
Watson
, “
Charging of silica particles in an argon dusty plasma
,”
Phys. Plasmas
7
,
3194
3197
(
2000
).
18.
J.
Goree
, “
Charging of dust particles in a plasma
,”
Plasma Sources Sci. Technol.
3
,
400
406
(
1994
).
19.
P.
Chabert
and
N.
Braithwaite
,
Physics of Radio-Frequency Plasmas
(
Cambridge U.P
.,
Cambridge
,
2011
).
20.
P.
Cignoni
,
C.
Montani
, and
R.
Scopigno
, “
DeWall: A fast divide and conquer Delaunay triangulation algorithm in Ed
,”
Computer-Aided Des.
30
,
333
341
(
1998
).
21.
J. M.
Kosterlitz
and
D. J.
Thouless
, “
Ordering, metastability and phase transitions in two-dimensional systems
,”
J. Phys. C: Solid State Phys.
6
,
1181
1203
(
1973
). Kosterlitz and Thouless shared the Nobel prize in 2016 with F. D. M. Haldane for their work on topological phase transitions and topological phases of matter.
22.
P.
Hartmann
,
G. J.
Kalman
,
Z.
Donkó
, and
K.
Kutasi
, “
Equilibrium properties and phase diagram of two-dimensional Yukawa systems
,”
Phys. Rev. E
72
,
026409
(
2005
).
23.
Z.
Donkó
,
G. J.
Kalman
, and
P.
Hartmann
, “
Dynamical correlations and collective excitations of Yukawa liquids
,”
J. Phys. Condensed Matter
20
,
413101
(
2008
).
24.
R.
Fitzpatrick
,
Plasma Physics: An Introduction
(
CRC Press
,
Boca Raton
2014
).
25.
K. N.
Dzhumagulova
,
T. S.
Ramazanov
, and
R. U.
Masheeva
, “
Velocity autocorrelation functions and diffusion coefficient of dusty component in complex plasmas
,”
Contrib. Plasma Phys.
52
,
182
185
(
2012
).
26.
D.
Frenkel
and
B.
Smit
,
Understanding Molecular Simulation
(
Academic Press
,
New York
,
1996
).
27.
R. W.
Hockney
and
J. W.
Eastwood
,
Computer Simulation Using Particles
(
A. Hilger
,
Bristol and New York
,
1988
).
28.
K. I.
Golden
and
G. J.
Kalman
, “
Quasilocalized charge approximation in strongly coupled plasma physics
,”
Phys. Plasmas
7
,
14
32
(
2000
).
29.
Z.
Donkó
,
G. J.
Kalman
, and
K. I.
Golden
, “
Caging of particles in one-component plasmas
,”
Phys. Rev. Lett.
88
,
225001
(
2002
).
30.
M. S.
Murillo
, “
Critical wave vectors for transverse modes in strongly coupled dusty plasmas
,”
Phys. Rev. Lett.
85
,
2514
2517
(
2000
).
31.
J.-P.
Hansen
,
I. R.
McDonald
, and
E. L.
Pollock
, “
Statistical mechanics of dense ionized matter. III. Dynamical properties of the classical one-component plasma
,”
Phys. Rev. A
11
,
1025
1039
(
1975
).
32.
S.
Hamaguchi
, “
Strongly coupled Yukawa plasmas–models for dusty plasmas and colloidal suspensions
,”
Plasmas Ions
2
,
57
68
(
1999
).
33.
M. S.
Liman
,
C.
Totsuji
,
K.
Tsutura
, and
H.
Totsuji
, “
Dynamical properties of two-dimensional Yukawa liquids: A molecular dynamics study
,”
Mem. Faculty Eng., Okayama University
38
,
33
38
(
2004
).
34.
See supplementary materials for https://doi.org/10.1119/10.0000045, packaged executables are provided for OSX, Linux, and Windows platforms along with installation instructions in the readme file.
35.
H. C.
Andersen
, “
Molecular dynamics simulations at constant pressure and/or temperature
,”
J. Chem. Phys.
72
,
2384
2393
(
1980
).
36.
Build cross platform desktop apps with JavaScript, HTML, and CSS
,” <https://electronjs.org>.

Supplementary Material

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