Analytic solution of Chemical Evolution Models with Type Ia SNe

Abstract

Context: In the last years, a significant number of works have focused on finding analytic solutions for the chemical enrichment models of galactic systems, including the Milky Way. Some of these solutions, however, cannot account for the enrichment produced by Type Ia SNe due to the presence of the delay time distributions (DTDs) in the models. Aims: We present a new analytic solution for the chemical evolution model of the Galaxy. This solution can be used with different prescriptions of the DTD, including the single and double degenerate scenarios, and allows the inclusion of an arbitrary number of pristine gas infalls. Methods: We integrate the chemical evolution model by extending the instantaneous recycling approximation with the contribution of Type Ia SNe. For those DTDs that lead to non-analytic integrals, we describe them as a superposition of Gaussian, exponential and 1/t functions using a restricted least-squares fitting method. Results: We obtain the exact solution for a chemical model with Type Ia SNe widely used in previous works. This solution can reproduce the expected chemical evolution of the alpha and iron-peak elements in less computing time than numerical integration methods. We compare the pattern in the [Si/Fe] vs. [Fe/H] plane observed by APOGEE DR17 with that predicted by the model. We find the low alpha sequence can be explained by a delayed gas infall. We exploit the applicability of our solution by modelling the chemical evolution of a simulated Milky Way-like galaxy from its star formation history. The implementation of our solution is released as a python package. Conclusions: Our solution constitutes a promising tool for the Galactic Archaeology and is able to model the observed trends in alpha element abundances versus [Fe/H] in the solar neighbourhood. We infer the chemical information of a simulated galaxy modelled without Chemistry.

arXiv commentAccepted for publication in A&A. 22 pages, 16 figures. ChEAP code available at https://bitbucket.org/pedroap/cheap/src/master/

References in corpus (94)

• The chemical composition of the Sun
• The Sixteenth Data Release of the Sloan Digital Sky Surveys: First Release from the APOGEE-2 Southern Survey and Full Release of eBOSS Spectra
• Nucleosynthesis in Chandrasekhar Mass Models for Type Ia Supernovae and Constraints on Progenitor Systems and Burning-Front Propagation
• Exploring the Milky Way stellar disk. A detailed elemental abundance study of 714 F and G dwarf stars in the Solar neighbourhood
• Radial Mixing in Galactic Discs
• The Chemical Evolution of the Galaxy: the two-infall model
• Elemental Abundance Survey of The Galactic Thick Disk
• Galactic chemical evolution: Carbon through Zinc
• Gas-regulation of galaxies: the evolution of the cosmic sSFR, the metallicity-mass-SFR relation and the stellar content of haloes
• Chemical evolution with radial mixing
• Chemical Cartography with APOGEE: Metallicity Distribution Functions and the Chemical Structure of the Milky Way Disk
• The GALAH+ Survey: Third Data Release
• Strangulation as the primary mechanism for shutting down star formation in galaxies
• Nearby Supernova Rates from the Lick Observatory Supernova Search. III. The Rate-Size Relation, and the Rates as a Function of Galaxy Hubble Type and Colour
• The age structure of stellar populations in the solar vicinity. Clues of a two-phase formation history of the Milky Way disk
• Two populations of progenitors for type Ia SNe?
• Normal Type Ia supernovae from violent mergers of white dwarf binaries
• Quantifying the uncertainties of chemical evolution studies. II. Stellar yields
• The Hubble Higher-Z Supernova Search: Supernovae to z=1.6 and Constraints on Type Ia Progenitor Models
• On the typical timescale for the chemical enrichment from SNeIa in Galaxies
• The rates of Type Ia Supernovae. I. Analytical Formulations
• Introduction to astroML: Machine Learning for Astrophysics
• Low-Metallicity Inhibition of Type Ia Supernovae and Galactic and Cosmic Chemical Evolution
• Stars, Gas, and Dark Matter in the Solar Neighborhood
• The evolution of the Milky Way from its earliest phases : constraints on stellar nucleosynthesis
• Delay Time Distribution Measurement of Type Ia Supernovae by the Subaru/XMM-Newton Deep Survey and Implications for the Progenitor
• Gaia Data Release 3: Analysis of RVS spectra using the General Stellar Parametriser from spectroscopy
• The Gaia-ESO Survey: the Galactic Thick to Thin Disc transition
• A time-resolved picture of our Milky Way's early formation history
• Introducing the NewHorizon simulation: Galaxy properties with resolved internal dynamics across cosmic time
• The stellar population structure of the Galactic disk
• Formation and Evolution of the Disk System of the Milky Way: [alpha/Fe] Ratios and Kinematics of the SEGUE G-Dwarf Sample
• Chemodynamics of the Milky Way. I. The first year of APOGEE data
• Tracing chemical evolution over the extent of the Milky Way's Disk with APOGEE Red Clump Stars
• Radial migration in galactic disks caused by resonance overlap of multiple patterns: Self-consistent simulations
• Galactic Archaeology with asteroseismic ages: evidence for delayed gas infall in the formation of the Milky Way disc
• Chemical Cartography with APOGEE: Large-scale Mean Metallicity Maps of the Milky Way
• From the bulge to the outer disc: StarHorse stellar parameters, distances, and extinctions for stars in APOGEE DR16 and other spectroscopic surveys
• Inflow, Outflow, Yields, and Stellar Population Mixing in Chemical Evolution Models
• VINTERGATAN I: The origins of chemically, kinematically and structurally distinct discs in a simulated Milky Way-mass galaxy
• Kinematics and chemical properties of the Galactic stellar populations. The HARPS FGK dwarfs sample
• The Gaia-ESO Survey: Exploring the complex nature and origins of the Galactic bulge populations
• Modern yields per stellar generation: the effect of the IMF
• The supernova rate and delay time distribution in the Magellanic Clouds
• The GALAH survey: An abundance, age, and kinematic inventory of the solar neighbourhood made with TGAS
• High-precision abundances of elements in solar-type stars. Evidence of two distinct sequences in abundance-age relations
• The Effect of Different Type Ia Supernova Progenitors on Galactic Chemical Evolution
• The AMBRE Project: chemical evolution models for the Milky Way thick and thin discs
• Equilibrium and Sudden Events in Chemical Evolution
• A new formulation of the Type Ia SN rate and its consequences on galactic chemical evolution
• Effects of radial flows on the chemical evolution of the Milky Way disk
• The Progenitors of Type Ia Supernovae
• APOGEE DR16: a multi-zone chemical evolution model for the Galactic disc based on MCMC methods
• Imprints of radial migration on the Milky Way's metallicity distribution functions
• Chemical evolution of local galaxies in a hierarchical model
• Evidence for short-lived SN Ia progenitors
• Stellar migrations and metal flows -- Chemical evolution of the thin disc of a simulated Milky Way analogous galaxy
• The Origin of the Mass-Metallicity relation: an analytical approach
• Chemical evolution of the Milky Way: constraints on the formation of the thick and thin discs
• Bimodality of [α/Fe]-[Fe/H] distributions is a natural outcome of dissipative collapse and disc growth in Milky Way-type galaxies
• The effect of differential galactic winds on the chemical evolution of galaxies
• New analytical solutions for chemical evolution models: characterizing the population of star-forming and passive galaxies
• The chemical evolution of local star forming galaxies: Radial profiles of ISM metallicity, gas mass, and stellar mass and constraints on galactic accretion and winds
• The effect of stellar migration on Galactic chemical evolution: a heuristic approach
• 2D chemical evolution model: the impact of galactic disc asymmetries on azimuthal chemical abundance variations
• The AMBRE project: Iron-peak elements in the solar neighbourhood
• Characterizing epochs of star formation across the Milky Way disc using age-metallicity distributions of GALAH stars
• The effects of different Type Ia SN yields on Milky Way chemical evolution
• Beyond the two-infall model I. Indications for a recent gas infall with Gaia DR3 chemical abundances
• Cold accretion flows and chemical bimodality of the Milky Way galaxy
• Age-chemical abundance structure of the Galaxy I: Evidence for a late accretion event in the outer disc at z ~ 0.6
• New Analytic Solutions for Galaxy Evolution: Gas, Stars, Metals and Dust in local Early-Type Galaxies and in their high-z Starforming Progenitors
• Elemental Abundances and Ages of $z\sim 0.7$ Quiescent Galaxies on the Mass-Size Plane: Implication for Chemical Enrichment and Star-Formation Quenching
• The chemical signature of the Galactic spiral arms revealed by Gaia DR3
• On the variation of carbon abundance in galaxies and its implications
• Mapping the Galactic Disk with the LAMOST and Gaia Red Clump Sample VII: the Stellar Disk Structure Revealed by the Mono-abundance Populations
• Supernova rates from the SUDARE VST-Omegacam search II. Rates in a galaxy sample
• Dynamics and Morphology of the Milky Way Spiral Arms from the Metallicity Distribution and Radial Mixing
• Galactic and Cosmic Type Ia SN rates: is it possible to impose constraints on SNIa progenitors?
• Spiral-like features in the disc revealed by Gaia DR3 radial actions
• Galaxy Lookback Evolution Models -- a Comparison with Magneticum Cosmological Simulations and Observations
• The AMBRE Project: Solar neighbourhood chemodynamical constraints on Galactic disc evolution
• New Analytic Solutions for Galaxy Evolution II: Wind Recycling, Galactic Fountains and Late-Type Galaxies
• MINCE I. Presentation of the project and of the first year sample
• A simple and general method for solving detailed chemical evolution with delayed production of iron and other chemical elements
• Revealing the spiral arms through radial migration and the shape of the Metallicity Distribution Function
• On the connection between galactic downsizing and the most fundamental galactic scaling relations
• New chemical evolution analytical solutions including environment effects
• SDSS-IV MaNGA: The [$\alpha$/Fe] of Early-Type Galaxies
• Signatures of the Galactic bar on stellar kinematics unveiled by APOGEE
• The G-dwarf distribution in star-forming galaxies: a tug-of-war between infall and outflow
• Correlation of the rate of Type Ia supernovae with the parent galaxy properties: Light and shadows
• Investigation of the Prompt SNe Ia progenitor nature through the analysis of the chemical composition of globular clusters and circumgalactic clouds
• Galaxy Evolution tool: Construction and Applications

Cited by in corpus (10)

• 2D chemical evolution models II. Effects of multiple spiral arm patterns on O, Eu, Fe and Ba abundance gradients
• Galactic Chemical Evolution Models Favor an Extended Type Ia Supernova Delay-Time Distribution
• Cepheid Metallicity in the Leavitt Law (C- MetaLL) survey: VI: Radial abundance gradients of 29 chemical species in the Milky Way Disk
• Cosmic Type Ia SN rate and constraints on SN Ia progenitors
• The Gaia spectroscopic catalogue of exoplanets and host stars
• Probing the origins. I. Generalised Additive Model inference of birth radii for Milky Way stars in the solar vicinity
• Chemical Evolution in Nuclear Stellar Discs
• Primordial Black Hole Triggered Type Ia Supernovae II: Comparison with Supernova Remnants and Galactic Chemical Evolution
• Solar twins in Gaia DR3 GSP-Spec II. Age distribution and its implications for the Sun's migration
• The Two-infall Model Revisited: Constraints on Milky Way Bulge Assembly from >30,000 Galactic Chemical Evolution Models and Machine Learning