Department of Polymer Science and Engineering, University of Massachusetts, Amherst, Massachusetts 01003, USA.
J Chem Phys. 2011 Jan 28;134(4):044901. doi: 10.1063/1.3528002.
The late stage growth mechanism for a first order phase transition, either through nucleation growth or spinodal decomposition, is well understood to be an Ostwald ripening or coarsening process, in which larger domains grow at the expense of smaller ones. The growth kinetics in this regime was shown by Lifshitz and Slyozov to follow at(1/3) law. However, the kinetics is altered if there exists a barrier ahead of the growth front, irrespective of the physical origin of the boundary layer. We present an analytic calculation for the growth kinetics in the presence of a boundary layer, showing that in the limit of barrier-dominated growth, the domains grow with at(1/2) law. This result holds true in the dilute regime independent of whether the growing nuclei are spherical or cylindrical.
一级相变的后期生长机制，无论是通过成核生长还是旋节分解，都被很好地理解为奥斯特瓦尔德熟化或粗化过程，其中较大的域通过牺牲较小的域来生长。利夫希茨和斯柳佐夫证明，在这个区域的生长动力学遵循（1/3）定律。然而，如果在生长前沿前存在一个势垒，无论边界层的物理起源如何，动力学都会发生改变。我们提出了一个在边界层存在的情况下的生长动力学的分析计算，表明在势垒主导生长的极限下，域以（1/2）定律生长。这个结果在稀释状态下是成立的，与生长核是球形还是圆柱形无关。
