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Non-linear development of secular gravitational instability in protoplanetary disks

机译:原文象磁盘中世俗重力不稳定的非线性发展

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We perform non-linear simulation of secular gravitational instability (GI) in protoplanetary disks, which has been proposed as a mechanism of planetesimal and multiple ring formation. Since the timescale of the growth of the secular GI is much longer than the Keplerian rotation period, we develop a new numerical scheme for a long-term calculation utilizing the concept of symplectic integration. With our new scheme, we first investigate the non-linear development of the secular GI in a disk without a pressure gradient in the initial state. We find that the surface density of dust increases by more than a factor of 100 while that of gas does not increase even by a factor of 2, which results in the formation of dust-dominated rings. A line mass of the dust ring tends to be very close to the critical line mass of a self-gravitating isothermal filament. Our results indicate that the non-linear growth of the secular GI provides a powerful mechanism to concentrate the dust. We also find that the dust ring formed via the non-linear growth of the secular GI migrates inward with a low velocity, which is driven by the self-gravity of the ring. We give a semi-analytical expression for the inward migration speed of the dusty ring.
机译:我们在原始盘中进行了异常重力不稳定(GI)的非线性模拟,这已经提出为行星和多环形成的机制。由于世俗GI的增长的时间表比Keplerian旋转周期要长得多,因此利用辛的集成概念开发了一种新的数值方案,以实现一个长期计算的。通过我们的新方案,我们首先在没有初始状态下的压力梯度的磁盘中的世俗GI的非线性开发。我们发现粉尘的表面密度增加了100个倍数100,而气体的甚至不会增加2倍,这导致形成灰尘主导的环。灰尘环的线质量倾向于非常接近自我引重等温细丝的临界线质量。我们的结果表明,世俗GI的非线性生长提供了集中粉尘的强大机制。我们还发现通过世俗GI的非线性生长形成的灰尘环以低速向内迁移,这是由环的自重驱动的。我们为尘埃环的向内迁移速度提供半分析表达。

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