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arxiv: 2607.00092 · v1 · pith:4P42XQ2R · submitted 2026-06-30 · astro-ph.EP

Planet formation in chemically diverse and evolving discs II. Chemical fingerprints in planetary atmospheres

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classification astro-ph.EP
keywords giant planetsprotoplanetary discsatmospheric compositionplanet formationelemental ratiosplanetary migrationaccretiondisc chemistry
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The pith

Giant planet atmospheres divide into three classes set by the balance of gas versus solid accretion during formation and migration.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper models how viscous evolution, dust drift, and chemistry in protoplanetary discs set the elemental makeup of material accreted by growing giant planets. It couples one-dimensional disc calculations to N-body simulations of planetesimal scattering and migration to track carbon, oxygen, nitrogen, and sulphur delivery. This produces three distinct atmospheric classes defined by patterns in stellar-normalised ratios such as N/O*, C/O*, C/N*, and S/N*. The classes map directly to gas-dominated, planetesimal-dominated, and drift-enhanced accretion regimes. The resulting trends supply a predictive link between observed atmospheric spectra and the time-dependent properties of the natal disc.

Core claim

Giant-planet atmospheres fall into three classes tied to accretion regime. Gas-dominated cases show N/O* > C/O* > C/N* with near-stellar or substellar S/N* and C/S*. Planetesimal-dominated cases show N/O* < C/O* < C/N*, S/N* >= C/N*, and C/S* <= C/O*. Drift-enhanced cases show N/O* < C/O* < C/N* together with markedly superstellar volatile-to-refractory ratios. N/O*, C/N*, and S/N* change systematically with migration distance while C/O* stays largely insensitive; degeneracies appear for formation beyond the CO and N2 snowlines. Disc chemistry and grain size further modulate the volatile-ratio patterns within each class.

What carries the argument

Coupling of 1D viscously evolving disc models (with radial dust drift and volatile chemistry) to N-body simulations of planetesimals interacting with a growing and migrating giant planet.

If this is right

  • N/O*, C/N*, and S/N* vary systematically with the extent of planetary migration.
  • C/O* alone provides little information on the gas-to-solid accretion balance.
  • Metallicity does not uniquely indicate the solid-to-gas ratio in drift-dominated regimes.
  • Sulphur ratios supply an independent constraint that breaks some degeneracies between formation pathways.
  • Changes in disc chemical state or grain size produce distinctive volatile-ratio signatures within each atmospheric class.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Multi-element atmospheric measurements from JWST or Ariel could be inverted to estimate both the migration distance and the dominant grain size in the birth disc.
  • The framework implies that planets forming beyond the main snowlines may require additional tracers such as phosphorus or noble-gas abundances to resolve formation-location ambiguities.
  • If the three classes are confirmed, population-level statistics on atmospheric ratios could constrain the typical timing of giant-planet migration relative to disc dispersal.

Load-bearing premise

The one-dimensional disc models with dust drift and chemistry, when combined with N-body planetesimal tracking, correctly reproduce the time-dependent chemical composition of gas and solids that a planet accretes.

What would settle it

A survey of measured C/O*, N/O*, C/N*, and S/N* in a statistically significant sample of giant-planet atmospheres would fail to recover the three predicted ratio clusters if the classification does not hold.

Figures

Figures reproduced from arXiv: 2607.00092 by C. P. Dullemond, C. Walsh, D. Polychroni, D. Turrini, E. Pacetti, E. Schisano, L. Testi, P. Hennebelle, P. Simonetti, R. Politi, R. S. Klessen, S. Fonte, S. L. Ivanovski, S. Molinari, U. Lebreuilly, V. Cottini.

Figure 1
Figure 1. Figure 1: Pairwise comparisons of volatile elemental ratios in the primordial atmospheres of the six simulated giant planets. Each panel [PITH_FULL_IMAGE:figures/full_fig_p005_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Elemental ratios in the primordial atmospheres of the six simulated giant planets as a function of their initial orbital positions. [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Envelope compositions obtained in this study. The table reports, for each atmospheric class, the identifying compositional [PITH_FULL_IMAGE:figures/full_fig_p008_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Same as Fig [PITH_FULL_IMAGE:figures/full_fig_p010_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Top: Mass of heavy elements, defined as all elements heavier than H and He, contained in the primordial envelopes of giant planets accreting both gas and planetesimals and ex￾pressed in Earth masses, for the six simulated migration scenar￾ios in the high-ionisation reset scenario of the disc. The shown masses refer only to the envelope composition under the assump￾tion of homogeneous mixing and do not incl… view at source ↗
Figure 6
Figure 6. Figure 6: compares the results of this work for discs with 0.1 µm￾sized grains with those of Pacetti et al. (2022). Both studies investigate the same disc chemical scenarios. In Pacetti et al. (2022), the disc was assumed to be stationary, with abundances set by 1 Myr of chemical evolution based on the same chemical network implemented in JADE, but without concurrent gas or dust transport (Eistrup et al. 2016, 2018)… view at source ↗
read the original abstract

Giant planets form in protoplanetary discs, where the coupled dynamical and chemical evolution of gas and solids determines the composition of the material they accrete. We investigate how planet formation and migration shape the primordial elemental makeup of giant-planet atmospheres. Our aim is to link atmospheric compositions to planets' formation pathways and the time-dependent chemical properties of their natal discs. We couple 1D models of viscously evolving discs - incorporating radial dust drift and volatile chemistry - with N-body simulations of planetesimals interacting with a growing and migrating giant planet. Four chemical scenarios and three representative grain sizes (0.1, 20, and 100 micron) are explored. We track the accretion of carbon, oxygen, nitrogen, and sulphur to derive atmospheric elemental ratios normalised to stellar values (* denotes stellar normalisation). We identify three atmospheric classes corresponding to distinct accretion regimes: gas-dominated, characterised by N/O* > C/O* > C/N* and unconstrained or substellar S/N* (near-stellar C/S*); planetesimal-dominated, showing N/O* < C/O* < C/N*, S/N* >= C/N*, and C/S* <= C/O*; and drift-enhanced, exhibiting N/O* < C/O* < C/N* and markedly superstellar volatile-to-refractory ratios. N/O*, C/N*, and S/N* vary systematically with migration extent, although degeneracies arise for planets forming beyond the CO and N2 snowlines; C/O* remains largely insensitive. Metallicity alone does not uniquely trace the solid-to-gas accretion balance in drift-dominated regimes. Variations in the disc's chemical state and dust size imprint distinctive volatile-ratio patterns across these classes, providing complementary constraints on disc properties. This multi-element framework establishes predictive trends to guide the interpretation of atmospheric spectra from facilities like JWST and Ariel.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 2 minor

Summary. The manuscript couples 1D viscously evolving protoplanetary disc models (including radial dust drift and volatile chemistry) with N-body simulations of planetesimal accretion onto a growing and migrating giant planet. Across four chemical scenarios and three grain sizes, it derives normalized elemental ratios (N/O*, C/O*, C/N*, S/N*, C/S*) and identifies three atmospheric classes tied to distinct accretion regimes: gas-dominated (N/O* > C/O* > C/N*, near-stellar C/S*), planetesimal-dominated (N/O* < C/O* < C/N*, S/N* >= C/N*, C/S* <= C/O*), and drift-enhanced (N/O* < C/O* < C/N* with superstellar volatile-to-refractory ratios). The work examines systematic variations with migration extent and disc parameters while noting degeneracies beyond certain snowlines.

Significance. If the reported class distinctions hold under the modeled conditions, the multi-element ratio framework supplies concrete, simulation-derived diagnostics that link atmospheric compositions to formation pathways and natal disc properties. This goes beyond single-ratio metrics such as C/O and supplies testable trends for JWST and Ariel spectra, with explicit accounting for time-dependent chemistry and parameter degeneracies.

major comments (1)
  1. [Methods and Results] The central claim that the three classes emerge from the simulations rests on the coupling of 1D disc models to N-body accretion; the manuscript should quantify the sensitivity of the reported ratio orderings to this coupling (e.g., by comparing runs with and without radial drift or with varied initial chemical abundances) to demonstrate that the class boundaries are not artifacts of the 1D approximation.
minor comments (2)
  1. [Abstract] The abstract states the class characteristics but supplies no example numerical ratio values or overlap metrics; adding a compact table of median ratios (with ranges) for each class across the four scenarios would allow readers to assess the distinctness of the patterns directly.
  2. [Introduction or Results] Notation for stellar-normalized ratios is introduced with an asterisk but the precise definition (e.g., whether it is log or linear) should be restated once in the main text near the first results figure for clarity.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the constructive comment on robustness. We address the major point below and will incorporate clarifications in a revised manuscript.

read point-by-point responses
  1. Referee: [Methods and Results] The central claim that the three classes emerge from the simulations rests on the coupling of 1D disc models to N-body accretion; the manuscript should quantify the sensitivity of the reported ratio orderings to this coupling (e.g., by comparing runs with and without radial drift or with varied initial chemical abundances) to demonstrate that the class boundaries are not artifacts of the 1D approximation.

    Authors: The manuscript already varies initial chemical abundances across four scenarios and modulates radial drift via three grain sizes (0.1, 20, and 100 micron), with the latter directly controlling drift velocities. The reported ratio orderings and three atmospheric classes remain consistent across this full grid, providing evidence that the distinctions are not artifacts of any single parameter choice. We did not run cases with radial drift disabled, as the model framework incorporates it as a core process; however, the grain-size variations serve as a controlled test of drift strength. We will add a short discussion paragraph noting this robustness while acknowledging that full 2D/3D disc models could provide further validation. revision: partial

Circularity Check

0 steps flagged

No significant circularity in simulation-based classification

full rationale

The paper derives its three atmospheric classes directly as outputs from forward simulations that couple 1D viscously evolving disc models (with radial drift and chemistry) to N-body planetesimal accretion tracking. Elemental ratios such as N/O*, C/O*, C/N*, S/N* and C/S* are computed from the simulated accretion histories across four chemical scenarios and three grain sizes; the classes are then identified by inspecting the resulting patterns. No parameters are fitted to data, no equations reduce by construction to their own inputs, and no load-bearing self-citations or imported uniqueness theorems are invoked. The derivation chain is therefore self-contained within the described numerical framework.

Axiom & Free-Parameter Ledger

2 free parameters · 3 axioms · 0 invented entities

The central claim rests on standard domain assumptions from protoplanetary disc theory and planet formation simulations; the explored grain sizes and chemical scenarios function as varied inputs rather than fitted free parameters, and no new entities are postulated.

free parameters (2)
  • grain size
    Three discrete representative values (0.1, 20, 100 micron) are chosen as inputs to the dust-drift and chemistry modules.
  • chemical scenario
    Four distinct chemical scenarios are chosen as inputs to represent different disc chemical states.
axioms (3)
  • domain assumption Viscous evolution governs the radial transport of gas and dust in the disc
    Invoked by the 1D disc models described in the abstract.
  • domain assumption Volatile chemistry sets the partitioning of C, O, N, and S between gas and solids at different disc radii
    Incorporated in the disc models as stated in the abstract.
  • domain assumption N-body dynamics accurately capture planetesimal accretion onto a migrating giant planet
    Used in the coupled simulations described in the abstract.

pith-pipeline@v0.9.1-grok · 5953 in / 1770 out tokens · 50035 ms · 2026-07-02T17:15:08.617552+00:00 · methodology

discussion (0)

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