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We identify and study a number of new, rapidly growing instabilities of dust grains in protoplanetary disks, which may be important for planetesimal formation. The study is based on the recognition that dust-gas mixtures are generically…

Earth and Planetary Astrophysics · Physics 2018-04-18 Jonathan Squire , Philip F. Hopkins

Resonant drag instabilities (RDIs) are a novel type of dust/fluid instability relevant to a diverse range of astrophysical environments. They are driven by a resonant interaction between streaming dust and waves in a background medium,…

Astrophysics of Galaxies · Physics 2026-02-05 Ben Y. Israeli , Jonathan Squire , Eric Moseley , Amitava Bhattacharjee

We study the linear growth and nonlinear saturation of the "acoustic Resonant Drag Instability" (RDI) when the dust grains, which drive the instability, have a wide, continuous spectrum of different sizes. This physics is generally…

Astrophysics of Galaxies · Physics 2021-12-13 Jonathan Squire , Stefania Moroianu , Philip F. Hopkins

Recently, Squire & Hopkins (2017) showed any coupled dust-gas mixture is subject to a class of linear 'resonant drag instabilities' (RDI). These can drive large dust-to-gas ratio fluctuations even at arbitrarily small dust-to-gas mass…

Solar and Stellar Astrophysics · Physics 2018-11-13 Philip F. Hopkins , Jonathan Squire

Dusty plasmas are known to support a diverse range of instabilities, including both generalizations of standard plasma instabilities and ones caused by effects specific to dusty systems. It has been recently demonstrated that a novel broad…

Plasma Physics · Physics 2023-08-16 Ben Y. Israeli , Amitava Bhattacharjee , Hong Qin

Dust grains embedded in gas flow give rise to a class of hydrodynamic instabilities, called resonant drag instabilities. These instabilities have predominantly been studied for single grain sizes, in which case they are found to grow fast.…

Earth and Planetary Astrophysics · Physics 2025-05-07 Sijme-Jan Paardekooper , Hossam Aly

Dust grains embedded in gas flow give rise to a class of hydrodynamic instabilities that can occur whenever there exists a relative velocity between gas and dust. These instabilities have predominantly been studied for single grain sizes,…

Astrophysics of Galaxies · Physics 2025-04-02 Sijme-Jan Paardekooper , Hossam Aly

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 study the non-linear evolution of the acoustic 'Resonant Drag Instability' (RDI) using numerical simulations. The acoustic RDI is excited in a dust-gas mixture when dust grains stream through gas, interacting with sound waves to cause a…

Astrophysics of Galaxies · Physics 2019-08-21 Eric R. Moseley , Jonathan Squire , Philip F. Hopkins

In dusty cool-star outflow or ejection events around AGB or RCB-like stars, dust is accelerated by radiation from the star and coupled to the gas via collisional drag forces. But it has recently been shown that such dust-gas mixtures are…

Solar and Stellar Astrophysics · Physics 2022-08-03 Ulrich P. Steinwandel , Alexander A. Kaurov , Philip F. Hopkins , Jonathan Squire

We extend the model of surface granular flow proposed in \cite{bcre} to account for the effect of an external `wind', which acts as to dislodge particles from the static bed, such that a stationary state of flowing grains is reached. We…

Condensed Matter · Physics 2009-10-31 Orestis Terzidis , Philippe Claudin , Jean-Philippe Bouchaud

Radiation-dust driven outflows, where radiation pressure on dust grains accelerates gas, occur in many astrophysical environments. Almost all previous numerical studies of these systems have assumed that the dust was perfectly-coupled to…

We consider the stability of a system of equations which are a singular perturbation of the incompressible rigid-plastic flow equations used to model granular flow. A linear stability analysis shows that solutions of these equations are…

Soft Condensed Matter · Physics 2007-05-23 Shaun Hendy

Here we show that there exist internal gravity waves that are inherently unstable, that is, they cannot exist in nature for a long time. The instability mechanism is a one-way (irreversible) harmonic-generation resonance that permanently…

Fluid Dynamics · Physics 2017-03-08 Y. Liang , Ahmad Zareei , M. -R. Alam

Wave resonance is the fundamental mechanism of non-linear instabilities of fluid flows, and affects the long-time evolution of fluid motions and other physical problems described by non-linear differential equations. Some significant…

Mathematical Physics · Physics 2011-04-08 Lun-Shin Yao

The main hurdle of planet formation theory is the metre-scale barrier. One of the most promising ways to overcome it is via the streaming instability (SI). Unfortunately, the mechanism responsible for the onset of this instability remains…

Earth and Planetary Astrophysics · Physics 2024-08-15 Nathan Magnan , Tobias Heinemann , Henrik N. Latter

Instabilities at interface of two stream granular flows have been reported in recent experiment [1] that breaking waves can form at the interface between two streams of identical grains flowing on an inclined plane downstream of a splitter…

Classical Physics · Physics 2007-05-23 Hua-Shu Dou , Boo Cheong Khoo , Nhan Phan-Thien

Squire & Hopkins (2017) showed that coupled dust-gas mixtures are generically subject to 'resonant drag instabilities' (RDIs), which drive violently-growing fluctuations in both. But the role of magnetic fields and charged dust has not yet…

Astrophysics of Galaxies · Physics 2018-11-13 Philip F. Hopkins , Jonathan Squire

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

Interpenetrating streams of solids and gas in a Keplerian disk produce a local, linear instability. The two components mutually interact via aerodynamic drag, which generates radial drift and triggers unstable modes. The secular instability…

Astrophysics · Physics 2009-11-10 Andrew N. Youdin , Jeremy Goodman
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