It is shown that the wake-mediated interactions between microparticles in a two-dimensional plasma crystal affect the shape of the monolayer, making it non-flat. The equilibrium shape is calculated for various distributions of the particle number density in the monolayer. For typical experimental conditions, the levitation height of particles in the center of the crystal can be noticeably smaller than at the periphery. It is suggested that the effect of wake-induced bending can be utilized in experiments, to deduce important characteristics of the interparticle interaction.

In order to give a basis to the structure and correlation analysis of fine
particle (dusty) plasma and colloidal suspensions, thermodynamic treatment of
mixtures of macroscopic and microscopic charged particles within the adiabatic
response of the latter is extended to include the case where the system is
finite and weakly inhomogeneous. It is shown that the effective potential for
macroscopic particles is composed of two elements: mutual Yukawa repulsion and
a confining (attractive) Yukawa potential from their `shadow' or the average
charge density of macroscopic particles multiplied by the minus sign. The
result clarifies the relation between two approaches hitherto taken where
either a parabolic one-body potential is assumed or the average distribution is
assumed to be flat with finite extension.

Author(s): Yan Feng, J. Goree, Bin Liu, T. P. Intrator, and M. S. Murillo

Stochastic transport of a two-dimensional (2D) dusty plasma liquid with a perpendicular magnetic field is studied. Superdiffusion is found to occur especially at higher magnetic fields with β of order unity. Here, β=ωc/ωpd is the ratio of the cyclotron and plasma frequencies for dust particles. The ...

[Phys. Rev. E 90, 013105] Published Mon Jul 28, 2014

Using the self-excited dust acoustic wave as a platform, we demonstrate experimental observation of self-excited fluctuating acoustic vortex pairs with ±1 topological charges through spontaneous waveform undulation in defect-mediated turbulence for three-dimensional traveling nonlinear longitudinal ...

[Phys. Rev. E 90, 013106] Published Mon Jul 28, 2014

The nonlinear propagation of electrostatic dust-acoustic (DA) waves in a
magnetized dusty plasma consisting of negatively charged mobile dusts,
nonthermal fast electrons and trapped ions with vortex-like distribution is
studied. Using the reductive perturbation technique, a Korteweg-de Vries
(KdV)-like equation is derived which governs the dynamics of the
small-amplitude solitary waves in a magnetized dusty nonthermal plasma. It is
found that due to the dust thermal pressure, there exists a critical value
$(\beta_c)$ of the nothermal parameter $\beta~(>1)$, denoting the percentage of
energetic electrons, below which the DA solitary waves cease to propagate. The
soliton solution (travelling wave) of the KdV-like equation is obtained, and is
shown to be only of the rarefactive type. The properties of the solitons are
analyzed numerically with the system parameters. It is also seen that the
effect of the static magnetic field (which only modifies the soliton width)
becomes significant when the dust gyrofrequency is smaller than one-tenth of
the dust plasma frequency. Furthermore, the amplitude of the soliton is found
to increase (decrease) when the ratio of the free to trapped ion temperatures
$(\sigma)$ is positive (negative). The effects of the system parameters
including the obliqueness of propagation $(l_z)$ and $\sigma$ on the dynamics
of the DA solitons are also discussed numerically, and it is found that the
soliton structures can withstand perturbations and turbulence during a
considerable time. The results should be useful for understanding the nonlinear
propagation of DA solitary waves in laboratory and space plasmas (e.g., Earth's
magnetosphere, auroral region, heliospheric environments etc.).

The propagation of both linear and nonlinear dust acoustic waves (DAWs) in an inhomogeneous magnetized collisional and warm dusty plasma (DP) consisting of Boltzmann ions, nonextensive electrons, and inertial dust particles is investigated. The number density gradients of all DP components besides the inhomogeneities of electrostatic potential and the initial dust fluid velocity are taken into account. The linear dispersion relation and a nonlinear modified Zakharov-Kusnetsov (MZK) equation governing the propagation of the three-dimensional DAWs are derived. The analytical solution of the MZK reveals the creation of both compressive and rarefactive DAW solitons in the proposed model. It is found that the inhomogeneity dimension parameter and the electron nonextensive parameter affect significantly the nonlinear DAW's amplitude, width, and Mach number. The relations of our findings with some astrophysical situations have been given.

The extended Zakharov-Kuznetsov (eZK) equation for the magnetized two-ion-temperature dusty plasma is studied in this paper. With the help of Hirota method, bilinear forms and N-soliton solutions are given, and soliton propagation is graphically analyzed. We find that the soliton amplitude is positively related to the nonlinear coefficient A, while inversely related to the dispersion coefficients B and C. We obtain that the soliton amplitude will increase with the mass of the jth dust grain and the average charge number residing on the dust grain decreased, but the soliton amplitude will increase with the equilibrium number density of the jth dust grain increased. Upon the introduction of the periodic external forcing term, both the weak and developed chaotic motions can occur. Difference between the two chaotic motions roots in the inequality between the nonlinear coefficient l 2 and perturbed term h 1. The developed chaos can be weakened with B or C decreased and A increased. Periodic motion of the perturbed eZK equation can be observed when there is a balance between l 2 and h 1.

The nonlinear theory of dust-acoustic waves (DAWs) with Landau damping is studied in an unmagnetized dusty negative-ion plasma in the extreme conditions when the free electrons are absent. The cold massive charged dusts are described by fluid equations, whereas the two-species of ions (positive and negative) are described by the kinetic Vlasov equations. A Korteweg-de Vries (KdV) equation with Landau damping, governing the dynamics of weakly nonlinear and weakly dispersive DAWs, is derived following Ott and Sudan [Phys. Fluids 12, 2388 (1969)]. It is shown that for some typical laboratory and space plasmas, the Landau damping (and the nonlinear) effects are more pronounced than the finite Debye length (dispersive) effects for which the KdV soliton theory is not applicable to DAWs in dusty pair-ion plasmas. The properties of the linear phase velocity, solitary wave amplitudes (in presence and absence of the Landau damping) as well as the Landau damping rate are studied with the effects of the positive ion to dust density ratio (μpd ) as well as the ratios of positive to negative ion temperatures (σ) and masses (m).

Undriven, incompressible Kolmogorov flow in two dimensional doubly periodic strongly coupled dusty plasma is modelled using generalised hydrodynamics, both in linear and nonlinear regime. A complete stability diagram is obtained for low Reynolds numbers R and for a range of viscoelastic relaxation time τm [0 τm Navier Stokes fluid (τm = 0), it is found that for Reynolds number beyond a critical R, say Rc , the Kolmogorov flow becomes unstable. Importantly, it is found that Rc is strongly reduced for increasing values of τm . A critical τ m c is found above which Kolmogorov flow is unconditionally unstable and becomes independent of Reynolds number. For R Rc , the neutral stability regime found in Navier Stokes fluid (τm = 0) is now found to be a damped regime in viscoelastic fluids, thus changing the fundamental nature of transition of Kolmogorov flow as function of Reynolds number R. A new parallelized nonlinear pseudo spectral code has been developed and is benchmarked against eigen values for Kolmogorov flow obtained from linear analysis. Nonlinear states obtained from the pseudo spectral code exhibit cyclicity and pattern formation in vorticity and viscoelastic oscillations in energy.

The shear viscosity coefficient of the one-component plasma is calculated
with unprecedented accuracy using equilibrium molecular dynamics simulations
and the Green-Kubo relation. Numerical and statistical uncertainties and their
mitigation for improving accuracy are analyzed. In the weakly coupled regime,
our the results agree with the Landau-Spitzer prediction. In the moderately and
strongly coupled regimes, our results are found in good agreement with recent
results obtained for the Yukawa one-component plasma using non-equilibrium
molecular dynamics. A practical formula is provided for evaluating the
viscosity coefficient across coupling regimes, from the weakly-coupled regime
up to solidification threshold. The results are used to test theoretical
predictions of the viscosity coefficients found in the literature.