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摘要翻译：
我们研究了在Ising模型中用团簇表示稳定和亚稳态平衡的方法。用Metropolis算法和Langevin动力学的$\phi^{4}$模型确定了成核时间的分布。我们发现，即使在磁化强度和能量等整体变量明显达到其时间无关值后，核化速率在早期也被抑制。当成核速率达到恒定值时，与成核液滴大小相当的团簇的平均数目与时间无关。我们还发现，在建立表观亚稳态平衡之前和之后形成的成核液滴之间存在细微的结构差异。
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英文标题：
《Approaching equilibrium and the distribution of clusters》
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作者：
Hui Wang, Kipton Barros, Harvey Gould and W. Klein
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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：Other Condensed Matter 其他凝聚态物质
分类描述：Work in condensed matter that does not fit into the other cond-mat classifications
在不适合其他cond-mat分类的凝聚态物质中工作
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英文摘要：
We investigate the approach to stable and metastable equilibrium in Ising models using a cluster representation. The distribution of nucleation times is determined using the Metropolis algorithm and the corresponding $\phi^{4}$ model using Langevin dynamics. We find that the nucleation rate is suppressed at early times even after global variables such as the magnetization and energy have apparently reached their time independent values. The mean number of clusters whose size is comparable to the size of the nucleating droplet becomes time independent at about the same time that the nucleation rate reaches its constant value. We also find subtle structural differences between the nucleating droplets formed before and after apparent metastable equilibrium has been established.
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PDF链接：
https://arxiv.org/pdf/704.0938
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