Density waves in the shearing sheet I. Swing amplification

Abstract

The shearing sheet model of a galactic disk is studied anew. The theoretical description of its dynamics is based on three building blocks: Stellar orbits, which are described here in epicyclic approximation, the collisionless Boltzmann equation determining the distribution function of stars in phase space, and the Poisson equation in order to take account of the self-gravity of the disk. Using these tools I develop a new formalism to describe perturbations of the shearing sheet. Applying this to the unbounded shearing sheet model I demonstrate again how the disturbances of the disk evolve always into `swing amplified' density waves, i.e. spiral-arm like, shearing density enhancements, which grow and decay while the wave crests swing by from leading to trailing orientation. Several examples are given how such `swing amplification' events are incited in the shearing sheet.

small corrections, uses new A&A style file

Cited by in corpus (34)

• Dynamics of Non-Steady Spiral Arms in Disk Galaxies
• The Effect of Spiral Structure on the Stellar Velocity Distribution in the Solar Neighborhood
• Large scale galactic turbulence: can self-gravity drive the observed HI velocity dispersions?
• Disk heating by more than one spiral density wave
• The PdBI Arcsecond Whirlpool Survey (PAWS): Multi-phase cold gas kinematic of M51
• The Bar--Halo Interaction--I. From Fundamental Dynamics to Revised N-body Requirements
• The effect of bars and transient spirals on the vertical heating in disk galaxies
• Spiral arm pitch angle and galactic shear rate in N-body simulations of disc galaxies
• Short-term dynamical evolution of grand-design spirals in barred galaxies
• Equilibrium Initialization and Stability of Three-Dimensional Gas Disks
• A bar in the inner halo of barred galaxies I. Structure and kinematics of a representative model
• Disk-stability constraints on the number of arms in spiral galaxies
• The GALAH Survey: Stellar streams and how stellar velocity distributions vary with Galactic longitude, hemisphere and metallicity
• Star formation and Asymmetry in the spiral arms of M51-- Variable star formation caused by more than one spiral density wave
• Pitch Angle of Galactic Spiral Arms
• Migration in the shearing sheet and estimates for young open cluster migration
• On the nature of IC 3328, an early-type dwarf galaxy with weak spiral structure
• Swing Amplification and the Gaia Phase Spirals
• Density waves in the shearing sheet V. Feedback cycle for swing amplification by non-linear effects
• Density waves in the shearing sheet III. Disc heating
• Galactic Spiral Arms by Swing Amplification
• The Effect of Environment on Galaxy Spiral Arms, Bars, Concentration, and Quenching
• Density waves in the shearing sheet IV. Interaction with a live dark halo
• Determination of resonance locations in barred spiral galaxies using multiband photometry
• Effect of finite disk-thickness on swing amplification of non-axisymmetric perturbations in a sheared galactic disk
• Dynamics of Porous Dust Aggregates and Gravitational Instability of Their Disk
• Dynamics of the Disks of Nearby Galaxies
• Dynamical friction force exerted on spherical bodies
• Quantitative interpretation of the rotation curves of spiral galaxies at redshifts z~0.7 and z~1
• Low-mass disc galaxies and the issue of stability: MOND vs dark matter
• Jeans instability of a galactic disk embedded in a live dark halo
• Linear Analysis of the Nonaxisymmetric Secular Gravitational Instability
• Formation of filaments and feathers in disc galaxies: Is self-gravity enough?
• A new approach to the problem of modes in the Mestel disk