Effective Reaction Temperatures of Irreversible Dust Chemical Reactions in a Protoplanetary Disk

Dust particles in protoplanetary disks experience various chemical reactions under different physicochemical conditions through their accretion and diffusion, which results in the radial chemical gradient of dust. We performed three-dimensional Monte Carlo simulations to evaluate the dust trajectori...

Full description

Bibliographic Details
Main Authors: Lily Ishizaki, Shogo Tachibana, Tamami Okamoto, Daiki Yamamoto, Shigeru Ida
Format: Article
Language:English
Published: IOP Publishing 2023-01-01
Series:The Astrophysical Journal
Subjects:
Online Access:https://doi.org/10.3847/1538-4357/acf310
_version_ 1797648884616396800
author Lily Ishizaki
Shogo Tachibana
Tamami Okamoto
Daiki Yamamoto
Shigeru Ida
author_facet Lily Ishizaki
Shogo Tachibana
Tamami Okamoto
Daiki Yamamoto
Shigeru Ida
author_sort Lily Ishizaki
collection DOAJ
description Dust particles in protoplanetary disks experience various chemical reactions under different physicochemical conditions through their accretion and diffusion, which results in the radial chemical gradient of dust. We performed three-dimensional Monte Carlo simulations to evaluate the dust trajectories and the progress of fictitious irreversible reactions, of which kinetics is expressed by the Johnson–Mehl–Avrami equation. The distribution of the highest temperature that each particle experiences before the degree of reaction exceeds a certain level shows the lognormal distribution, and its mode temperature was used as the effective reaction temperature. Semi-analytical prediction formulas of the effective reaction temperature and its dispersion were derived by comparing a reaction timescale with a diffusive transport timescale of dust as a function of the reaction parameters and the disk parameters. The formulas reproduce the numerical results of the effective reaction temperatures and their dispersions within 5.5% and 24%, respectively, in a wide temperature range (200–1400 K). We applied the formulas for the crystallization of amorphous silicate dust and its oxygen isotope exchange with the H _2 O vapor based on the experimentally determined kinetics. For submicron-sized amorphous forsterite dust, the predicted effective reaction temperature for the oxygen isotope exchange was lower than that of crystallization without overlap even considering their dispersions. This suggests that the amorphous silicate dust in the protosolar disk could exchange their oxygen isotopes efficiently with the ^16 O-poor H _2 O vapor, resulting in the distinct oxygen isotope compositions from the Sun.
first_indexed 2024-03-11T15:38:24Z
format Article
id doaj.art-b7febc6ae1c74c3688b477a9881b918f
institution Directory Open Access Journal
issn 1538-4357
language English
last_indexed 2024-03-11T15:38:24Z
publishDate 2023-01-01
publisher IOP Publishing
record_format Article
series The Astrophysical Journal
spelling doaj.art-b7febc6ae1c74c3688b477a9881b918f2023-10-26T13:15:22ZengIOP PublishingThe Astrophysical Journal1538-43572023-01-0195714710.3847/1538-4357/acf310Effective Reaction Temperatures of Irreversible Dust Chemical Reactions in a Protoplanetary DiskLily Ishizaki0https://orcid.org/0009-0005-8583-9730Shogo Tachibana1https://orcid.org/0000-0002-4603-9440Tamami Okamoto2https://orcid.org/0000-0003-1545-2723Daiki Yamamoto3https://orcid.org/0000-0001-6852-2954Shigeru Ida4https://orcid.org/0000-0001-9564-6186Department of Earth and Planetary Science, The University of Tokyo , Hongo, Tokyo 113-0033, Japan ; r.ishizaki@eps.s.u-tokyo.ac.jpDepartment of Earth and Planetary Science, The University of Tokyo , Hongo, Tokyo 113-0033, Japan ; r.ishizaki@eps.s.u-tokyo.ac.jpEarth-Life Science Institute, Tokyo Institute of Technology , Meguro, Tokyo 152-8550, JapanDepartment of Earth and Planetary Sciences, Kyushu University , Motooka, Nishi-ku, Fukuoka 819-0395, JapanEarth-Life Science Institute, Tokyo Institute of Technology , Meguro, Tokyo 152-8550, JapanDust particles in protoplanetary disks experience various chemical reactions under different physicochemical conditions through their accretion and diffusion, which results in the radial chemical gradient of dust. We performed three-dimensional Monte Carlo simulations to evaluate the dust trajectories and the progress of fictitious irreversible reactions, of which kinetics is expressed by the Johnson–Mehl–Avrami equation. The distribution of the highest temperature that each particle experiences before the degree of reaction exceeds a certain level shows the lognormal distribution, and its mode temperature was used as the effective reaction temperature. Semi-analytical prediction formulas of the effective reaction temperature and its dispersion were derived by comparing a reaction timescale with a diffusive transport timescale of dust as a function of the reaction parameters and the disk parameters. The formulas reproduce the numerical results of the effective reaction temperatures and their dispersions within 5.5% and 24%, respectively, in a wide temperature range (200–1400 K). We applied the formulas for the crystallization of amorphous silicate dust and its oxygen isotope exchange with the H _2 O vapor based on the experimentally determined kinetics. For submicron-sized amorphous forsterite dust, the predicted effective reaction temperature for the oxygen isotope exchange was lower than that of crystallization without overlap even considering their dispersions. This suggests that the amorphous silicate dust in the protosolar disk could exchange their oxygen isotopes efficiently with the ^16 O-poor H _2 O vapor, resulting in the distinct oxygen isotope compositions from the Sun.https://doi.org/10.3847/1538-4357/acf310Solar systemSolar system evolutionCosmochemistryAstrochemistryDust compositionProtoplanetary disks
spellingShingle Lily Ishizaki
Shogo Tachibana
Tamami Okamoto
Daiki Yamamoto
Shigeru Ida
Effective Reaction Temperatures of Irreversible Dust Chemical Reactions in a Protoplanetary Disk
The Astrophysical Journal
Solar system
Solar system evolution
Cosmochemistry
Astrochemistry
Dust composition
Protoplanetary disks
title Effective Reaction Temperatures of Irreversible Dust Chemical Reactions in a Protoplanetary Disk
title_full Effective Reaction Temperatures of Irreversible Dust Chemical Reactions in a Protoplanetary Disk
title_fullStr Effective Reaction Temperatures of Irreversible Dust Chemical Reactions in a Protoplanetary Disk
title_full_unstemmed Effective Reaction Temperatures of Irreversible Dust Chemical Reactions in a Protoplanetary Disk
title_short Effective Reaction Temperatures of Irreversible Dust Chemical Reactions in a Protoplanetary Disk
title_sort effective reaction temperatures of irreversible dust chemical reactions in a protoplanetary disk
topic Solar system
Solar system evolution
Cosmochemistry
Astrochemistry
Dust composition
Protoplanetary disks
url https://doi.org/10.3847/1538-4357/acf310
work_keys_str_mv AT lilyishizaki effectivereactiontemperaturesofirreversibledustchemicalreactionsinaprotoplanetarydisk
AT shogotachibana effectivereactiontemperaturesofirreversibledustchemicalreactionsinaprotoplanetarydisk
AT tamamiokamoto effectivereactiontemperaturesofirreversibledustchemicalreactionsinaprotoplanetarydisk
AT daikiyamamoto effectivereactiontemperaturesofirreversibledustchemicalreactionsinaprotoplanetarydisk
AT shigeruida effectivereactiontemperaturesofirreversibledustchemicalreactionsinaprotoplanetarydisk