摘要翻译：
我们引入了一个简单的含有多个亚稳相的最近邻自旋模型，亚稳相的数目和衰变路径由系统的参数显式控制。利用这个模型，我们可以构造一个系统，它通过任意长的亚稳态相序列演化。我们还构造了一个体系，在该体系中，不同的相可以从单个初始相竞争成核。对于这样一个系统，我们提出了一种从数值模拟中提取成核相单个成核速率的通用方法。结果表明，当新相几乎同样稳定时，预测哪个相会成核的Ostwald规则必须进行概率修正。最后，我们证明了一个相的成核速率，除其他外，依赖于从它可获得的其他相的数目。
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英文标题：
《Competitive nucleation and the Ostwald rule in a generalized Potts model
  with multiple metastable phases》
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作者：
David P. Sanders, Hern\'an Larralde, Fran\c{c}ois Leyvraz (Instituto
  de Ciencias F\'isicas, Universidad Nacional Aut\'onoma de M\'exico)
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics        物理学
二级分类：Materials Science        材料科学
分类描述：Techniques, synthesis, characterization, structure.  Structural phase transitions, mechanical properties, phonons. Defects, adsorbates, interfaces
技术，合成，表征，结构。结构相变，力学性质，声子。缺陷，吸附质，界面
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一级分类：Physics        物理学
二级分类：Soft Condensed Matter        软凝聚态物质
分类描述：Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜，聚合物，液晶，玻璃，胶体，颗粒物质
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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.
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PDF链接：
https://arxiv.org/pdf/704.0472