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Nanoscale effects in imterdiffusion

机译:纳米扩散效应

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Diffusion on the nano/atomic scales in multilayers, thin films has many challenging features even if the role of structural defects can be neglected and 'only' the effects related to the nano/atomic scale raise. Different examples for diffusional nanoscale effects we have discovered recently will be summarized in this paper. We illustrate that the continuum descriptions of the diffusion cannot be applied automatically on such short distances, the classical continuum approximations (Fick's laws) cannot describe correctly the atomic movements. [1-4] They predict faster kinetics than the atomistic models and the interface shift is always proportional to the square-root of the time (x °ctU2 =>x2 ocf. parabolic or Fickian kinetics). However, the kinetics can be even linear (x xt) on the nano/atomic scale. [3, 4] Furthermore, the continuum descriptions foretell infinitely fast kinetics as the time goes to zero (v=dx/dt°ci/tl/2), which is a long standing paradox of the diffusion theory. Very recently a possible resolution of this paradox has been offered [5], moreover, it was also shown that an initially diffused interface can sharpen even in completely miscible systems. [6, 7] We will also review the possible stress effects on the above phenomena.
机译:即使可以忽略结构缺陷的作用并且“仅”增加与纳米/原子尺度有关的影响,薄膜在多层纳米/原子尺度上的扩散仍具有许多具有挑战性的特征。我们将在本文中总结最近发现的有关扩散纳米尺度效应的不同示例。我们说明了扩散的连续体描述不能自动应用于如此短的距离,经典连续体近似(菲克定律)不能正确描述原子运动。 [1-4]他们预测的动力学要比原子模型快,并且界面偏移始终与时间的平方根成比例(x°ctU2 => x2 ocf。抛物线或菲克动力学)。但是,动力学在纳米/原子尺度上甚至可以是线性的(x xt)。 [3,4]此外,连续描述描述了随着时间趋于零(v = dx / dt°ci / tl / 2)而无限快的动力学,这是扩散理论长期以来的悖论。最近,已经提出了解决这一悖论的可能方法[5],此外,还表明,即使在完全可混溶的系统中,最初扩散的界面也可以变得清晰。 [6,7]我们还将回顾上述现象可能带来的压力影响。

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