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arXiv 1105.3440astro-ph.EP
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原行星盘中尘埃颗粒的三维拉格朗日湍流扩散:方法和首次应用

3D Lagrangian turbulent diffusion of dust grains in a protoplanetary disk: method and first applications

Sebastien Charnoz, Laure Fouchet, Jérôme Aleon, Manuel Moreira

摘要:

为了了解气态湍流原行星盘中尘埃颗粒的化学和同位素组成在其在盘中的旅程中是如何改变的,确定它们各自的轨迹是很重要的。在这里,我们研究的尘埃扩散运输拉格朗日数值模拟使用流行的“湍流扩散”的形式主义。然而,它自然地以欧拉形式表示,这不允许研究单个粒子的轨迹。我们提出了一个简单的随机和物理上合理的模拟湍流扩散的拉格朗日形式,克服了这些困难的过程。结果表明,尘埃的净扩散通量F与气体密度(ρ)梯度和尘埃扩散系数Dd成正比:(F=Dd/ρ \timesgrad(ρ))。它导致尘埃在盘的中平面向内输送,同时有利于盘的上层向外输送。我们目前的测试和应用程序比较灰尘扩散的中面和上层,以及样本轨迹的颗粒具有不同的大小。我们还讨论了宇宙化学和SPH代码的潜在应用。

英文摘要:

In order to understand how the chemical and isotopic compositions of dust grains in a gaseous turbulent protoplanetary disk are altered during their journey in the disk, it is important to determine their individual trajectories. We study here the dust-diffusive transport using lagrangian numerical simulations using the the popular "turbulent diffusion" formalism. However it is naturally expressed in an Eulerian form, which does not allow the trajectories of individual particles to be studied. We present a simple stochastic and physically justified procedure for modeling turbulent diffusion in a Lagrangian form that overcomes these difficulties. We show that a net diffusive flux F of the dust appears and that it is proportional to the gas density (ρ) gradient and the dust diffusion coefficient Dd: (F=Dd/ρ\timesgrad(ρ)). It induces an inward transport of dust in the disk's midplane, while favoring outward transport in the disk's upper layers. We present tests and applications comparing dust diffusion in the midplane and upper layers as well as sample trajectories of particles with different sizes. We also discuss potential applications for cosmochemistry and SPH codes.

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