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On the self-consistent time-dependent linearized response of stellar discs to external perturbations

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arxiv 2205.15725 v1 pith:PASRUJDY submitted 2022-05-31 astro-ph.GA

Dominic Dootson , John Magorrian This is my paper · ORCID
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keywords considerdiscequationlinearizedmatrixmethodperturbationsresponse
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abstract

We study the explicitly time-dependent response of a razor-thin axisymmetric disc to externally imposed perturbations by recasting the linearized Collisionless Boltzmann equation as an integral equation and applying Kalnajs' matrix method. As an application we consider the idealized problem of calculating the dynamical friction torque on a steadily rotating, two-dimensional bar. We consider two choices of basis functions in the matrix method, showing that both lead to comparable results. The torques from our linearised calculation are in excellent agreement with those measured from $N$-body simulation, as long as the bar perturbation does not resonate with a significant fraction of the disc's stars.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Galactokinetics II: Spiral structure

    astro-ph.GA 2025-07 conditional novelty 7.0 of 10

    A single linear response kernel for galactic disks reproduces Lindblad-Kalnajs waves, swing amplification, groove instabilities, and Lin-Shu-Kalnajs modes as limiting cases, with smooth connections between them.

  2. The Rotating Bulge and Halo in the Milky Way: Evidence of Angular Momentum Transferred from the Decelerating Bar

    astro-ph.GA 2025-06 conditional novelty 5.0 of 10

    A decelerating Milky Way bar appears able to transfer angular momentum to bulge and halo stars, matching the rotation of a neural-network-selected sample of 1.18 million Gaia stars.

  3. Bulge Oscillation Driven by Outflows of Active Galactic Nuclei. I. Fast Outflow Case

    astro-ph.GA 2024-12 conditional novelty 5.0 of 10

    Fast AGN outflows with embedded star formation can drive tens-of-km/s radial oscillations in spherical bulges that decay after the AGN shuts off.

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