Shadow-driven dynamics

How shadows cast by inner disks launch spirals, drive accretion, and warp the outer disk

An introduction to shadow-induced warps, rendered in Blender by Shangjia Zhang. full resolution on figshare.

Scattered-light images from extreme adaptive optics often show dark lanes and wedges on planet-forming disks: shadows cast by material close to the star. Because these shadows change how much starlight reaches the outer disk, they are a natural experiment in disk thermodynamics. Using 3D radiation-hydrodynamical simulations with Athena++, I showed that the temperature drop in a shadow acts as an asymmetric driving force: in transition disks it launches spirals that efficiently transport mass through the cavity and resemble features seen in near-infrared images (Zhang & Zhu, 2024). Shadows cast by a misaligned inner disk can drive strong accretion and even warp the outer disk (Zhang et al., 2025). With PhD student Xiaoyi Ma, I am building a framework for how dust and gas emission respond to shadows, so that observations of shadowed disks can constrain how quickly disks cool (Zhang et al., 2026); see probing disk cooling with time-dependent features.

More broadly, temperature variations themselves can create rings and spirals (Zhang et al., 2021; Zhu et al., 2025), which is essential to know before attributing every substructure to a planet.

Movies

Midplane density of a 3D disk illuminated with a shadow lane inclined by 30°: the outer disk warps. full resolution on figshare.
Azimuthal scan through a shadowed transition disk: density, velocities, temperature, and forces (extension of Fig. 4 in Zhang & Zhu 2024). full resolution on figshare.
Full evolution of the 3D radiation-hydrodynamical transition-disk simulation with a shadow: midplane, elevated, and vertical slices of density, temperature, and velocities. full resolution on figshare.

Recorded talk

Dynamical Effects of Shadows in Transition Disks: talk at the KITP conference Planets on Edge (2025) on shadow-induced spirals in transition disks (Zhang & Zhu 2024).

References

2026

  1. Submitted
    Thermal Response of Dust and Gas to Shadows in Protoplanetary Disks I: A Beta-Cooling Framework
    Shangjia Zhang, Xiaoyi Ma, Jane Huang, Zhaohuan Zhu, and Simon Casassus
    Submitted to ApJ, Aug 2026

2025

  1. ApJL
    zhang2025warps.jpg
    Shadow-induced Warps in Protoplanetary Disks
    Shangjia Zhang, Zhaohuan Zhu, and Callum W. Fairbairn
    Astrophysical Journal Letters, Dec 2025
  2. ApJ
    2025ApJ...980..259Z.jpg
    Asymmetric Temperature Variations In Protoplanetary Disks. I. Linear Theory, Corotating Spirals, and Ring Formation
    Zhaohuan Zhu, Shangjia Zhang, and Ted M. Johnson
    Astrophysical Journal, Feb 2025

2024

  1. ApJL
    zhang2024shadows.jpg
    3D Radiation-hydrodynamical Simulations of Shadows on Transition Disks
    Shangjia Zhang and Zhaohuan Zhu
    Astrophysical Journal Letters, Oct 2024

2021

  1. ApJ
    zhang2021rings.jpg
    Self-consistent Ring Model in Protoplanetary Disks: Temperature Dips and Substructure Formation
    Shangjia Zhang, Xiao Hu, Zhaohuan Zhu, and Jaehan Bae
    Astrophysical Journal, Dec 2021