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The behaviour of sedimenting particles depends on the dust-to-gas ratio of the fluid. Linear stability analysis shows that solids settling in the Epstein drag regime would remain homogeneously distributed in non-rotating incompressible…

Earth and Planetary Astrophysics · Physics 2016-06-29 Michiel Lambrechts , Anders Johansen , Holly L. Capelo , Jürgen Blum , Eberhard Bodenschatz

Symmetry-breaking instability of a laterally uniform granular cluster (strip state) in a prototypical driven granular gas is investigated. The system consists of smooth hard disks in a two-dimensional box, colliding inelastically with each…

Soft Condensed Matter · Physics 2009-11-07 Evgeniy Khain , Baruch Meerson

Streaming Instability (SI) in dust has long been thought to be a promising process in triggering planetesimal formation in the protoplanetary disks (PPDs). In this study, we present the first numerical investigation that models the SI in…

Earth and Planetary Astrophysics · Physics 2024-10-16 Ka Wai Ho , Hui Li , Shengtai Li

The two-phase mixing layer formed between parallel gas and liquid streams is an important fundamental problem in turbulent multiphase flows. The problem is relevant to many industrial applications and natural phenomena, such as air-blast…

Fluid Dynamics · Physics 2018-12-05 Y. Ling , D. Fuster , G. Tryggvason , S. Zaleski

The streaming instability and Kelvin--Helmholtz instability are considered the two major sources causing clumping of dust particles and turbulence in the dust layer of a protoplanetary disk as long as we consider the dead zone where the…

Earth and Planetary Astrophysics · Physics 2018-07-04 Minoru Sekiya , Isamu K. Onishi

The linear stability of rapid granular flow on a slope under gravity against the longitudinal perturbation is analyzed using hydrodynamic equations. It is demonstrated that the steady flow uniform along the flow direction becomes unstable…

Statistical Mechanics · Physics 2009-11-10 Namiko Mitarai , Hiizu Nakanishi

The nonlinear development of streaming instabilities in the current layers formed during magnetic reconnection with a guide field is explored. Theory and 3-D particle-in-cell simulations reveal two distinct phases. First, the parallel…

Space Physics · Physics 2015-05-13 H. Che , J. F. Drake , M. Swisdak , P. H. Yoon

We introduce a new technique to determine the gas turbulence and surface density in bright disc rings, under the assumption that dust growth is limited by turbulent fragmentation at the ring centre. We benchmark this prescription in HD…

Earth and Planetary Astrophysics · Physics 2023-11-16 Francesco Zagaria , Cathie J. Clarke , Richard A. Booth , Stefano Facchini , Giovanni P. Rosotti

We study the stability of a hot saturated gas coexisting with condensed particles in an optically thin medium. Such a situation may obtain downstream of a shock, at condensation fronts, or in vaporizing impacts. We show that the…

Earth and Planetary Astrophysics · Physics 2025-08-08 Kecheng Stephon Qian , Eugene Chiang

Uncertainty propagation in non-linear dynamical systems has become a key problem in various fields including control theory and machine learning. In this work we focus on discrete-time non-linear stochastic dynamical systems. We present a…

Systems and Control · Electrical Eng. & Systems 2024-09-12 Eduardo Figueiredo , Andrea Patane , Morteza Lahijanian , Luca Laurenti

The streaming instability (SI) is currently the leading candidate for triggering planetesimal formation in protoplanetary disks. Recently, a novel variation, the `azimuthal-drift' streaming instability (AdSI), was discovered in disks…

Earth and Planetary Astrophysics · Physics 2024-11-21 Shiang-Chih Wang , Min-Kai Lin

We study experimentally the particle velocity fluctuations in an electrostatically driven dilute granular gas. The experimentally obtained velocity distribution functions have strong deviations from Maxwellian form in a wide range of…

Statistical Mechanics · Physics 2016-08-31 I. S. Aranson , J. S. Olafsen

Mixtures of gas and dust are pervasive in the universe, from AGN and molecular clouds to proto-planetary discs. When the two species drift relative to each other, a large class of instabilities can arise, called resonant drag instabilities…

Earth and Planetary Astrophysics · Physics 2024-01-09 Nathan Magnan , Tobias Heinemann , Henrik N. Latter

We present a new instability driven by a combination of coagulation and radial drift of dust particles. We refer to this instability as ``coagulation instability" and regard it as a promising mechanism to concentrate dust particles and…

Earth and Planetary Astrophysics · Physics 2021-12-15 Ryosuke T. Tominaga , Shu-ichiro Inutsuka , Hiroshi Kobayashi

Dust concentration in protoplanetary disks (PPDs) is the first step towards planetesimal formation, a crucial yet highly uncertain stage in planet formation. Although the streaming instability (SI) is widely recognized as a powerful…

Earth and Planetary Astrophysics · Physics 2025-04-23 Pinghui Huang , Xue-Ning Bai

We perform a linear stability analysis of a dust layer in a turbulent gas disk. Youdin (2011) investigated the secular gravitational instability of a dust layer using hydrodynamic equations with a turbulent diffusion term. We obtain…

Earth and Planetary Astrophysics · Physics 2015-06-03 Shugo Michikoshi , Eiichiro Kokubo , Shu-ichiro Inutsuka

The asymmetries that arise when a mixing layer involves two miscible fluids of differing densities are investigated using incompressible (low-speed) direct numerical simulations. The simulations are performed in the temporal configuration…

Fluid Dynamics · Physics 2021-01-08 Jon R. Baltzer , Daniel Livescu

The instability in protoplanetary disks due to gas-dust friction and self-gravity of gas and dust is investigated by linear analysis. In the case where the dust to gas ratio is enhanced and turbulence is week, the instability grows, even in…

Earth and Planetary Astrophysics · Physics 2015-06-18 Sanemichi Z. Takahashi , Shu-ichiro Inutsuka

Context. The Dust Settling Instabilty (DSI) is a member of the Resonant Drag Instabilities (RDI) family, and is thus related to the Streaming Instability (SI). Linear calculations found that the unstratified monodisperse DSI has growth…

Earth and Planetary Astrophysics · Physics 2025-09-10 Hossam Aly , Sijme-Jan Paardekooper

We consider the transport of gas in long pipes and pipeline networks for which the dynamics are dominated by friction at the pipe walls. The governing equations can be formulated as an abstract dissipative Hamiltonian system which allows us…

Analysis of PDEs · Mathematics 2023-04-11 Herbert Egger , Jan Giesselmann
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