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arXiv 0704.0472cond-mat.stat-mechcond-mat.mtrl-scicond-mat.soft
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多亚稳相广义Potts模型中的竞争形核和Ostwald规则

Competitive nucleation and the Ostwald rule in a generalized Potts model with multiple metastable phases

David P. Sanders, Hernán Larralde, François Leyvraz

摘要:

我们引入了一个简单的最近邻自旋模型,该模型具有多个亚稳相,亚稳相的数量和衰变路径由系统的参数明确控制。用这个模型,我们可以构造,例如,一个系统,通过一个任意长的亚稳相序列的演变。我们还构建了不同的阶段可能从一个单一的初始阶段竞争成核的系统。对于这样一个系统,我们提出了一个通用的方法来提取从数值模拟的成核相的个别成核率。结果表明,奥斯特瓦尔德规则,预测哪一个阶段将成核,必须修改概率时,新的阶段几乎是同样稳定的。最后,我们表明,一个阶段的成核率取决于,除其他事项外,从它访问的其他阶段的数量。

英文摘要:

We introduce a simple nearest-neighbor spin model with multiple metastable phases, the number and decay pathways of which are explicitly controlled by the parameters of the system. With this model we can construct, for example, a system which evolves through an arbitrarily long succession of metastable phases. We also construct systems in which different phases may nucleate competitively from a single initial phase. For such a system, we present a general method to extract from numerical simulations the individual nucleation rates of the nucleating phases. The results show that the Ostwald rule, which predicts which phase will nucleate, must be modified probabilistically when the new phases are almost equally stable. Finally, we show that the nucleation rate of a phase depends, among other things, on the number of other phases accessible from it.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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