A simple non-equilibrium, statistical-physics toy model of thin-film growth
A simple non-equilibrium, statistical-physics toy model of thin-film growth
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DOI：
10.1088/1742-5468/2015/09/p09013
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发表时间：
2015-06
期刊：
影响因子：
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通讯作者：
Jeremi K. Ochab;Hannes Nagel;W. Janke;B. Wacław
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文献类型：
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作者：
Jeremi K. Ochab;Hannes Nagel;W. Janke;B. Wacław
我们提出了一个简单的质量凝聚非平衡模型，粒子与基底之间存在伦纳德 - 琼斯相互作用。我们表明，当一定数量的粒子沉积到表面上，然后让系统达到平衡时，如果粒子密度高于某个临界密度，粒子就会凝聚成一个岛。我们通过数值获得的三维系统相图来说明这一点。我们还对该模型的二维对应情况进行了解析求解，并表明不仅相图，而且三维凝聚体的横截面形状在定性上都与二维预测相符。最后，我们表明当粒子以恒定速率沉积时，系统有两个相：在低沉积速率下为单个凝聚体，在高沉积速率下为多个凝聚体。因此，我们模型的行为类似于薄膜生长过程，特别是类似于斯特兰斯基 - 克拉斯坦诺夫生长模式。
We present a simple non-equilibrium model of mass condensation with Lennard–Jones interactions between particles and the substrate. We show that when some number of particles is deposited onto the surface and the system is left to equilibrate, particles condense into an island if the density of particles becomes higher than some critical density. We illustrate this with numerically obtained phase diagrams for three-dimensional systems. We also solve a two-dimensional counterpart of this model analytically and show that not only the phase diagram but also the shape of the cross-sections of three-dimensional condensates qualitatively matches the two-dimensional predictions. Lastly, we show that when particles are being deposited with a constant rate, the system has two phases: a single condensate for low deposition rates, and multiple condensates for fast deposition. The behaviour of our model is thus similar to that of thin film growth processes, and in particular to Stranski–Krastanov growth.