零化学势零外场下Blume-Capel模型的亚稳性
Metastability of Blume-Capel model with zero chemical potential and zero external field
摘要：
在这项研究中，我们调查的亚稳态行为的大都市型Glauber动力学与Blume-Capel模型与零化学势和零外场在非常低的温度。在[Cirillo and Nardi，Journal of Statistical Physics，150：1080-1114，2013]和[Landim and Lemire，Journal of Statistical Physics，164：346-376，2016]中对具有零化学势和正小外场的相同模型进行了相应的分析。我们得到了大偏差型和潜在的理论结果的亚稳行为在我们的设置。为此，我们对能量景观进行了非常彻底的调查，结果表明，没有临界配置存在，或者是一个巨大的平坦平台的鞍形配置驻留在其中。
英文摘要：
In this study, we investigate the metastable behavior of Metropolis-type Glauber dynamics associated with the Blume-Capel model with zero chemical potential and zero external field at very low temperatures. The corresponding analyses for the same model with zero chemical potential and positive small external field were performed in [Cirillo and Nardi, Journal of Statistical Physics, 150: 1080-1114, 2013] and [Landim and Lemire, Journal of Statistical Physics, 164: 346-376, 2016]. We obtain both large deviation-type and potential-theoretic results on the metastable behavior in our setting. To this end, we perform highly thorough investigation on the energy landscape, where it is revealed that no critical configurations exist and alternatively a massive flat plateau of saddle configurations resides therein.
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