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Renormalization group study of Mullins' equation for molecular beam epitaxy with conserved noise

机译:具有守恒噪声的分子束外延Mullins方程的重整化群研究

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The dynamics of driven interfaces under conserved noise in a continuum model of growth by a molecular beam has been studied by means of the Nozieres-Gallet dynamic renormalization group technique, using the results of Sun and Plischke for the case of non-conserved noise. Relaxation of the growing film is due to both surface tension and surface diffusion. In (1 + 1) dimensions, four growth regimes have been found. None of these are purely diffusive. One of these fixed points has negative surface tension and is stable with respect to renormalization group flow. This is an unstable growth state in which the creation of large slopes in the interface configuration is expected. In (2+1) dimensions, seven growth regimes have been found, in which three are purely diffusive. There is also one fixed point with a negative surface tension. However, this fixed point is unstable with respect to renormalization group flow, and is therefore expected to crossover into the other growth regimes at large system size and long limes. (C) 1998 Elsevier Science B.V. All rights reserved. [References: 33]
机译:借助Nozieres-Gallet动态重归一化群技术,在非保守噪声情况下,使用Sun和Plischke的结果,研究了在分子束增长的连续体模型中,在保守噪声下的驱动界面的动力学。生长膜的松弛归因于表面张力和表面扩散。在(1 + 1)维度中,发现了四个增长方案。这些都不是纯粹的扩散性。这些固定点之一具有负的表面张力,并且对于重归一化组流是稳定的。这是一个不稳定的增长状态,在这种状态下,预计会在界面配置中产生大的斜率。在(2 + 1)维度中,发现了七个生长机制,其中三个纯粹是扩散性的。还有一个固定点的表面张力为负。但是,该固定点相对于重归一化组流量是不稳定的,因此,在系统规模较大且石灰长时,有望跨入其他生长方式。 (C)1998 Elsevier Science B.V.保留所有权利。 [参考:33]

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