The influence of dust size distribution on the dust ion acoustic solitary waves in a collisional dusty plasma is investigated. It is found that dust size distribution changes the amplitude and width of a solitary wave. A critical wave number is derived for the existence of purely damping mode. A deformed Korteweg-de Vries (dKdV) equation is obtained for the propagation of weakly nonlinear dust ion acoustic solitary waves and the effect of different plasma parameters on the solution of this equation is also presented.

We experimentally realize an enhanced Raman control scheme for neutral atoms that features an
intrinsic suppression of the two-photon carrier transition, but retains the sidebands which couple
to the external degrees of freedom of the trapped atoms. This is achieved by trapping the atom at
the node of a blue detuned standing wave dipole trap, that acts as one field for the two-photon
Raman coupling. The improved ratio between cooling and heating processes in this configuration
enables a five times lower fundamental temperature limit for resolved sideband cooling. We apply
this method to perform Raman cooling to the two-dimensional vibrational ground state and to
coherently manipulate the atomic motion. The presented scheme requires minimal additional resources
and can be applied to experiments with challenging optical access, as we demonstrate by our
implementation for atoms strongly coupled to an optical cavity.

Effect of the dust size distribution on the landau damping and the wave frequency is studied in the present paper. It is found that wave frequency increases as either the difference between the largest and the smallest dust size increases or the wave number increases. It seems that wave frequency is smaller for dusty plasma whose density of the smaller grains is larger than that of the larger ones, while it is larger in the opposite case. The effect of the dust size distribution can increase the Landau damping in the cases where the temperature of the dust grains is small enough or high enough.

Existence of chaotic, quasi-periodic, and periodic structures of dust-ion acoustic waves is studied in quantum dusty plasmas through dynamical system approach. A system of coupled differential equations is derived from the fluid model and subsequently, variational matrix is obtained. The characteristic equation is obtained at the equilibrium point, and the behavior of nonlinear waves is studied numerically using Runge-Kutta method. The behavior of the dynamical system changes significantly when any of plasma parameters, such as the dust concentration parameter, temperature ratio, or the quantum diffraction parameter, is varied. The change of the characteristic of solution of the system is extensively studied. It is found that the system changes its behavior from chaotic pattern to limit cycle behavior.

In a non-ideal classical Coulomb one-component plasma (OCP), all thermodynamic properties are known to depend only on a single parameter—the coupling parameter Γ. In contrast, if the pair interaction is screened by background charges (Yukawa OCP) the thermodynamic state depends, in addition, on the range of the interaction via the screening parameter κ. How to determine in this case an effective coupling parameter has been a matter of intensive debate. Here we propose a consistent approach for defining and measuring the coupling strength in Coulomb and Yukawa OCPs based on a fundamental structural quantity, the radial pair distribution function (RPDF). The RPDF is often accessible in experiments by direct observation or indirectly through the static structure factor. Alternatively, it is directly computed in theoretical models or simulations. Our approach is based on the observation that the build-up of correlation from a weakly coupled system proceeds in two steps: First, a monotonically increasing volume around each particle becomes devoid of other particles (correlation hole), and second (upon further increase of the coupling), a shell structure emerges around each particle giving rise to growing peaks of the RPDF. Using molecular dynamics simulation, we present a systematic study for the dependence of these features of the RPDF on Γ and κ and derive a simple expression for the effective coupling parameter.

The dispersion relation of electrostatic waves in a magnetized complex plasma under gravity is presented. It is assumed that the waves propagate perpendicular to the external fields. The effects of weak electric field, neutral drag force, and ion drag force are also taken into account. The dispersion relation is numerically examined in an appropriate parameter space in which the gravity plays the dominant role in the dynamics of magnetized microparticles. The numerical results show that an unstable low frequency drift wave can be developed in the long wavelength limit. This unstable mode is transformed into an aperiodic stationary structure at a cut-off wavenumber. Furthermore, the influence of the external fields on the dispersion properties is analyzed. It is shown that the instability is essentially due to the E × B drift motion of plasma particles. However, in the absence of weak electric field, the g × B drift motion of microparticles can cause the instability in a wide range of wavenumbers. It is also found that by increasing the magnetic field strength, the wave frequency is first increased and then decreased. This behaviour is explained by the existence of an extremum point in the dust magneto-gravitational drift velocity.

Particle pairing in a complex plasma was experimentally studied with the emphasis on pair spatial extent and stability. Micron-size particles were suspended in the (pre)sheath area above the lower electrode in a capacitively coupled radio-frequency discharge in argon. They formed vertical pairs due to the ion wakes created by the flow of ions past particles. We discuss the confinement mechanism for the lower particle, resulting from a combination of the wake field and the field of non-uniform sheath. A model of particle pairs is proposed, which provides good description for the dependence of pair size and stability on experimental parameters.

In order to give a basis for 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' (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. Since the satisfaction of the charge
neutrality is largely enhanced by the existence of macroscopic particles, the
assumption of the flat electrostatic potential and therefore flat average
distribution of macroscopic particles in the domain of their existence is
expected to be closer to reality than the assumption of the parabolic potential
in that domain.