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Spectral methods are well suited for solving hydrodynamic problems in which the self-gravity of the flow needs to be considered. Because Poisson's equation is linear, the numerical solution for the gravitational potential for each…

Astrophysics · Physics 2008-11-26 Chi-kwan Chan , Dimitrios Psaltis , Feryal Ozel

Nonlinear numerical simulations are performed to investigate the density evolution in the dust layer of a protoplanetary disk due to the gravitational instability and dust settling toward the midplane. We assume the region where the radial…

Astrophysics · Physics 2009-11-11 Fumiharu Yamoto , Minoru Sekiya

Shear flows have an important impact on the dynamics in an assortment of different astrophysical objects including accreditation discs and stellar interiors. Investigating shear flow instabilities in a polytropic atmosphere provides a…

Solar and Stellar Astrophysics · Physics 2015-05-06 V. Witzke , L. J. Silvers , B. Favier

(Sub)millimeter dust polarization in protoplanetary disks has revealed the presence of large (~ 100 um) dust grains that are aligned along their long axis following the azimuthal direction of the disk. The novel Badminton Birdie-like…

The formation of planetesimals in protoplanetary disks due to collisional sticking of smaller dust aggregates has to face at least two severe obstacles, namely the rapid loss of material due to radial inward drift and particle fragmentation…

Astrophysics · Physics 2009-11-13 F. Brauer , Th. Henning , C. P. Dullemond

The Convective Overstability (COS) is a hydrodynamic instability occurring in protoplanetary disk (PPD) regions with an adverse radial entropy gradient. It is a potential driver of turbulence and may influence planetesimal formation. In…

Earth and Planetary Astrophysics · Physics 2025-03-05 Marius Lehmann , Min-Kai Lin

Super-Earths exist around subsolar-metallicity host stars with a frequency comparable to that around solar-metallicity stars, suggesting efficient assembly of dust grains even in metal-deficient environments. In this study, we propose a…

Earth and Planetary Astrophysics · Physics 2025-10-24 Ryoki Matsukoba , Eduard I. Vorobyov , Takashi Hosokawa

We study electromagnetic streaming instabilities in thermal viscous regions of rotating astrophysical objects, such as, protostellar and protoplanetary magnetized accretion disks, molecular clouds, their cores, and elephant trunks. The…

Astrophysics of Galaxies · Physics 2015-05-14 A. K. Nekrasov

We consider reaction-diffusion systems with multiplicative noise on a spatial domain of dimension two or higher. The noise process is white in time, coloured in space, and invariant under translations. In the deterministic setting,…

Analysis of PDEs · Mathematics 2024-06-07 Mark van den Bosch , Hermen Jan Hupkes

This paper explores the driving of low-level hydrodynamical activity in protoplanetary-disc dead zones. A small adverse radial entropy gradient, ordinarily stabilised by rotation, excites oscillatory convection (`convective overstability')…

Earth and Planetary Astrophysics · Physics 2015-12-02 Henrik Latter

The streaming instability (SI) is a leading mechanism for concentrating solid particles into regions dense enough to form planetesimals. Its efficiency in clumping particles depends primarily on the dimensionless stopping time ($\tau_s$, a…

Earth and Planetary Astrophysics · Physics 2025-02-14 Jeonghoon Lim , Jacob B. Simon , Rixin Li , Daniel Carrera , Stanley A. Baronett , Andrew N. Youdin , Wladimir Lyra , Chao-Chin Yang

We study drag-driven instability in a protoplanetary disc consisting of a layer of single-sized dust particles which are coupled to the magnetized gas aerodynamically and the particle-to-gas feedback is included. We find a dispersion…

Earth and Planetary Astrophysics · Physics 2016-09-28 Mohsen Shadmehri , Razieh Oudi , Gohar Rastegarzade

The stability of a rotating fluid disk to the formation of spiral arms is studied in the tightwinding approximation in the linear regime. The dispersion relation for spirals that was derived by Bertin et al. is shown to contain a new,…

Astrophysics · Physics 2009-10-31 L. E. Montenegro , C. Yuan , B. G. Elmegreen

The hydrodynamics of viscoelastic materials (for example polymer melts and solutions) presents interesting and complex phenomena, for example instabilities and turbulent flow at very low Reynolds numbers due to normal stress effects and the…

Soft Condensed Matter · Physics 2007-05-23 Ellak Somfai , Alexander N. Morozov , Wim van Saarloos

Planetesimal formation is one of the most important unsolved problems in planet formation theory. In particular, rocky planetesimal formation is difficult because silicate dust grains are easily broken when they collide. Recently, it has…

Earth and Planetary Astrophysics · Physics 2018-03-21 Misako Tatsuuma , Shugo Michikoshi , Eiichiro Kokubo

We outline a novel linear instability that may arise in the dead-zones of protostellar disks, and possibly the fluid interiors of planets and protoplanets. In essence it is an axisymmetric buoyancy instability, but one that would not be…

Earth and Planetary Astrophysics · Physics 2015-05-18 Henrik N. Latter , Julius F. Bonart , Steven A. Balbus

The formation of planetesimals is an unsolved problem in planet formation theory. A prominent scenario for overcoming dust growth barriers in dead zones is the gravitational collapse of locally over-dense regions, shown to robustly produce…

Earth and Planetary Astrophysics · Physics 2020-06-10 Konstantin Gerbig , Ruth A. Murray-Clay , Hubert Klahr , Hans Baehr

The trans-Neptunian object 2014 MU69, named Arrokoth, is the most recent evidence that planetesimals did not form by successive collisions of smaller objects, but by the direct gravitational collapse of a pebble cloud. But what process sets…

Earth and Planetary Astrophysics · Physics 2020-09-30 Hubert Klahr , Andreas Schreiber

Stability analysis of two-fluid protoplanetary disc models has enriched our understanding of how solids can grow into larger bodies called planetesimals. Dust particles entrained in a gas stream modify the flow, creating shear layers prone…

In this work we use the radiation hydrodynamic code TRAMP to perform a two-dimensional axially symmetric model of the layered disc. Using this model we follow the accumulation of mass in the dead zone due to the radially varying accretion…

Astrophysics · Physics 2009-11-13 R. Wunsch , H. Klahr , M. Rozyczka
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