CASPERCenter for Astrophysics, Space Physics & Engineering Researchhttp://hdl.handle.net/2104/55012017-11-18T00:38:09Z2017-11-18T00:38:09ZPhysical interpretation of the spectral approach to delocalization in infinite disordered systemsKostadinova, EvaLiaw, ConstanzeMatthews, LorinHyde, Truellhttp://hdl.handle.net/2104/98872016-12-16T09:00:21Z2016-12-05T00:00:00ZPhysical interpretation of the spectral approach to delocalization in infinite disordered systems
Kostadinova, Eva; Liaw, Constanze; Matthews, Lorin; Hyde, Truell
In this paper we introduce the spectral approach to delocalization in infinite disordered systems and provide a physical interpretation in context of the classical model of Edwards and Thouless. We argue that spectral analysis is an important contribution to localization problems since it avoids issues related to the use of boundary conditions. Applying the method to 2D and 3D numerical simulations with various amount of disorder W shows that delocalization occurs for W ≤ 0.6 in 2D and for W ≤ 5 for 3D.
2016-12-05T00:00:00ZUsing Dust as Probes to Determine Sheath Extent and StructureDouglass, AngelaLand, VictorMatthews, LorinHyde, Truell W.http://hdl.handle.net/2104/98862016-12-16T09:00:49Z2016-07-01T00:00:00ZUsing Dust as Probes to Determine Sheath Extent and Structure
Douglass, Angela; Land, Victor; Matthews, Lorin; Hyde, Truell W.
Two in situ experimental methods are presented in which dust particles are used to determine the extent of the sheath and gain information about the time-averaged electric force profile within a radio frequency (RF) plasma sheath. These methods are advantageous because they are not only simple and quick to carry out, but they also can be performed using standard dusty plasma experimental equipment. In the first method, dust particles are tracked as they fall through the plasma towards the lower electrode. These trajectories are then used to determine the electric force on the particle as a function of height as well as the extent of the sheath. In the second method, dust particle levitation height is measured across a wide range of RF voltages. Similarities were observed between the two experiments, but in order to understand the underlying physics behind these observations, the same conditions were replicated using a self-consistent fluid model. Through comparison of the fluid model and experimental results, it is shown that the particles exhibiting a levitation height that is independent of RF voltage indicate the sheath edge – the boundary between the quasineutral bulk plasma and the sheath. Therefore, both of these simple and inexpensive, yet effective, methods can be applied across a wide range of experimental parameters in any ground-based RF plasma chamber to gain useful information regarding the sheath, which is needed for interpretation of dusty plasma experiments.
2016-07-01T00:00:00ZMultipole Expansions of Aggregate Charge: How Far to Go?Matthews, LorinColeman, Douglas A.Hyde, Truell W.http://hdl.handle.net/2104/98812016-10-28T08:00:23Z2016-04-01T00:00:00ZMultipole Expansions of Aggregate Charge: How Far to Go?
Matthews, Lorin; Coleman, Douglas A.; Hyde, Truell W.
Aggregates immersed in a plasma or radiative environment will have charge distributed over their extended surface. Previous studies have modeled the aggregate charge using the monopole and dipole terms of a multipole expansion, with results indicating that the dipole-dipole interactions play an important role in increasing the aggregation rate and altering the morphology of the resultant aggregates. This study examines the effect that including the quadrupole terms has on the dynamics of aggregates interacting with each other and the confining electric fields in laboratory experiments. Results are compared to modeling aggregates as a collection of point charges located at the center of each spherical monomer comprising the aggregate.
2016-04-01T00:00:00ZCoagulation in the Vicinity of a Gap-Opening Jupiter-Mass PlanetCarballido, Augustohttp://hdl.handle.net/2104/98802016-10-28T08:00:55Z2016-06-01T00:00:00ZCoagulation in the Vicinity of a Gap-Opening Jupiter-Mass Planet
Carballido, Augusto
We analyze the coagulation of dust in and around a gap opened by a Jupiter-mass planet. To this end, we carry out a high-resolution magnetohydrodynamic (MHD) simulation of the gap environment, which is turbulent due to the magnetorotational instability. From the MHD simulation, we obtain values of the gas velocities, densities, and turbulent stresses (a) close to the gap edge, (b) in one of the two gas streams that accrete onto the planet, (c) inside the low-density gap, and (d) outside the gap. The MHD values are then input into a Monte Carlo dust-coagulation algorithm which models grain sticking and compaction. We also introduce a simple implementation for bouncing, for comparison purposes. We consider two dust populations for each region: one whose initial size distribution is monodisperse, with monomer radius equal to 1 μm, and another one whose initial size distribution follows the Mathis–Rumpl–Nordsieck distribution for interstellar dust grains, with an initial range of monomer radii between 0.5 and 10 μm. Without bouncing, our Monte Carlo calculations show steady growth of dust aggregates in all regions, and the mass-weighted (m-w) average porosity of the initially monodisperse population reaches xtremely high final values of 98%. The final m-w porosities in all other cases without bouncing range between 30% and 82%. The efficiency of compaction is due to high turbulent relative speeds between dust particles. When bouncing is introduced, growth is slowed down in the planetary wake and inside the gap. Future studies will need to explore the effect of different planet masses and electric charge on grains.
2016-06-01T00:00:00Z