Growth and Migration of Solids in Evolving Protostellar Disks. I. Methods and Analytical Tests

Growth and Migration of Solids in Evolving Protostellar Disks. I. Methods and Analytical Tests
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演化中的原恒星盘中固体的生长和迁移。

DOI:
10.1086/523090
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发表时间:
2007
期刊:
The Astrophysical Journal
影响因子:
--
通讯作者:
Pascale Garaud
Pascale Garaud
中科院分区:
--
文献类型:
--
作者:
Pascale Garaud

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这一系列的论文通过模拟原恒星盘的气体和固体含量从早期金牛座阶段到气体完全分散的演变来研究行星形成的早期阶段。在这第一篇论文中,我提出了一组新的简化方程,模拟了在中央恒星的粘性吸积和光蒸发的综合作用下,气态原恒星盘中各种颗粒的生长和迁移。该模型假设粒径分布函数始终保持幂律结构,近似于凝固/破碎精确方程的平均结果,只着重计算最大晶粒的生长速率。然后给出了最大晶粒尺寸、气体表面密度和固体表面密度的耦合演化方程,并使用标准的1 + 1维形式自洽地求解。我表明,固体的整体演化是由大半径的小颗粒泄漏储层控制的,并提出了一个经验推导的固体总质量演化方程,该方程可用于估计行星形成范式中的总重元素保留效率。与SED观测结果的详细比较将在下面的文章中提出。
This series of papers investigates the early stages of planet formation by modeling the evolution of the gas and solid content of protostellar disks from the early T Tauri phase until complete dispersal of the gas. In this first paper, I present a new set of simplified equations modeling the growth and migration of various species of grains in a gaseous protostellar disk evolving as a result of the combined effects of viscous accretion and photoevaporation from the central star. Using the assumption that the grain-size distribution function always maintains a power-law structure approximating the average outcome of the exact coagulation/shattering equation, the model focuses on the calculation of the growth rate of the largest grains only. The coupled evolution equations for the maximum grain size, the surface density of the gas, and the surface density of solids are then presented and solved self-consistently using a standard 1 + 1 dimensional formalism. I show that the global evolution of solids is controlled by a leaky reservoir of small grains at large radii, and propose an empirically derived evolution equation for the total mass of solids, which can be used to estimate the total heavy-element retention efficiency in the planet formation paradigm. Detailed comparisons with SED observations are presented in a following paper.
DOI: 10.1006/icar.1999.6299
发表时间: 2000
期刊: Icarus
影响因子: 3.2
作者:
V. Mannings;A. Boss;S. Russell
通讯作者: V. Mannings;A. Boss;S. Russell