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arXiv 0906.4030astro-ph.EPastro-ph.SR
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具有随机扰动的第一类行星迁移的一般分析

General Analysis of Type I Planetary Migration with Stochastic Perturbations

Fred C. Adams, Anthony M. Bloch

摘要:

本文给出了在随机扰动存在下第一类行星迁移的一般处理方法。在许多行星形成盘中,由不对称扭矩驱动的I型迁移机制作用于短时间尺度,并损害了行星形成。然而,如果磁盘也支持MHD不稳定性,相应的湍流波动产生额外的随机扭矩,修改稳定的向内迁移的情况。这项工作研究了迁移的行星核心的随机波动的存在下,使用互补的方法,包括福克-普朗克方法和迭代地图。随机力矩有两个主要的影响:[1]通过向外扩散,一小部分行星核心可以在I型向内迁移中幸存下来。[2]对于一个给定的起始条件,任何特定的迁移实现的结果都是不确定的,因此必须用结果的分布来描述结果。除了探索不同的制度的参数空间,本文认为外盘边界条件,不同的初始条件,和时间依赖性的扭矩参数的影响。对于半径有限的圆盘,幸存行星的比例随时间呈指数下降。我们找到了一系列磁盘模型的生存分数和衰变率,并找到了幸存行星的位置的预期分布。对于预期的椎间盘特性,存活分数在$0.01 < p_S < 0.1$范围内。

英文摘要:

This paper presents a generalized treatment of Type I planetary migration in the presence of stochastic perturbations. In many planet-forming disks, the Type I migration mechanism, driven by asymmetric torques, acts on a short time scale and compromises planet formation. If the disk also supports MHD instabilities, however, the corresponding turbulent fluctuations produce additional stochastic torques that modify the steady inward migration scenario. This work studies the migration of planetary cores in the presence of stochastic fluctuations using complementary methods, including a Fokker-Planck approach and iterative maps. Stochastic torques have two main effects: [1] Through outward diffusion, a small fraction of the planetary cores can survive in the face of Type I inward migration. [2] For a given starting condition, the result of any particular realization of migration is uncertain, so that results must be described in terms of the distributions of outcomes. In addition to exploring different regimes of parameter space, this paper considers the effects of the outer disk boundary condition, varying initial conditions, and time-dependence of the torque parameters. For disks with finite radii, the fraction of surviving planets decreases exponentially with time. We find the survival fractions and decay rates for a range of disk models, and find the expected distribution of locations for surviving planets. For expected disk properties, the survival fraction lies in the range $0.01 < p_S < 0.1$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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