Astronomy and Space Science Theory Group (ASSTG)http://hdl.handle.net/2104/55132017-10-20T21:28:05Z2017-10-20T21:28:05ZPhysical 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.
2016-12-05T00:00:00ZMultipole 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.
2016-06-01T00:00:00ZPhotophoretic Force on Aggregate Grains, Monthly Notices of the Royal Astronomical SocietyMatthews, LorinKimery, J. B.Wurm, G.de Beule, C.Kuepper, MHyde, T. W.http://hdl.handle.net/2104/95972016-02-24T20:52:44Z2016-01-21T00:00:00ZPhotophoretic Force on Aggregate Grains, Monthly Notices of the Royal Astronomical Society
Matthews, Lorin; Kimery, J. B.; Wurm, G.; de Beule, C.; Kuepper, M; Hyde, T. W.
The photophoretic force may impact planetary formation by selectively moving solid particles based on their composition and structure. This generates collision velocities between grains of different sizes and sorts the dust in protoplanetary discs by composition. This numerical simulation studied the photophoretic force acting on fractal dust aggregates of μm-scale radii. Results show that aggregates tend to have greater photophoretic drift velocities than spheres of similar mass or radii, though with a greater spread in the velocity. While the drift velocities of compact aggregates continue to increase as the aggregates grow larger in size, fluffy aggregates have drift velocities which are relatively constant with size. Aggregates formed from an initially polydisperse size distribution of dust grains behave differently from aggregates formed from a monodisperse population, having smaller drift velocities with directions which deviate substantially from the direction of illumination. Results agree with microgravity experiments which show the difference of photophoretic forces with aggregation state.
2016-01-21T00:00:00Z