arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2209.02802cond-mat.stat-mechcond-mat.soft
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Gaussian-core模型中二维固相的熔化

Melting of the two-dimensional solid phase in the Gaussian-core model

Alejandro Mendoza-Coto, Valéria Mattiello, Rômulo Cenci, Nicolò Defenu, Lucas Nicolao

AI总结:

本文提出融合自洽变分近似与重整化群的解析方法,同时处理声子涨落和拓扑缺陷,成功定量刻画Gaussian-core模型二维固相的重入熔化相图。

摘要:

解释普适与非普适性质的二维固体熔化一般理论至今仍是一个悬而未决的问题。尽管著名的KTHNY理论已能在多种情形下预测熔化转变的临界性质,但人们已知它无法捕捉在某些系统中观察到的一级转变,也没有为计算特定模型的熔化温度提供清晰方法。在本工作中,我们发展了一种解析方法,将自洽变分近似与重整化群相结合,以同时处理二维晶体熔化过程中存在的声子涨落和拓扑缺陷。该方法被应用于Gaussian-core模型相图研究并取得显著成功,不仅捕捉到其二维固相的重入特征,还定量详细地给出了相关临界温度随密度变化的关系。所发展的方法可直接应用于研究由通过任意有限成对相互作用势发生作用的粒子所构成的任何六方简单晶体的熔化。此外,它还有潜力解释二维晶体熔化过程中一级转变的发生。

英文摘要:

A general theory for the melting of two dimensional solids explaining the universal and non-universal properties is an open problem up to date. Although the celebrated KTHNY theory have been able to predict the critical properties of the melting transition in a variety cases, it is already known that it is not able to capture the occurrence of first order transitions observed in certain systems as well as it doesn't provide a clear way to calculate the melting temperature for a specific model. In the present work we have developed an analytical method that combines Self Consistent Variational Approximation with the Renormalization Group in order to deal simultaneously with the phonon fluctuations and the topological defects present in the melting process of two dimensional crystals. The method was applied with impressive success to the study of the phase diagram of the Gaussian-core model, capturing not only the reentrant feature of its 2D solid phase, but also the related critical temperatures as a function of the density in quantitative detail. The developed method can be directly applied to study the melting of any hexagonal simple crystal formed by particles interacting through any finite pairwise interaction potential. Additionally, it has the potential to explain the occurrence of first order transitions in the melting process of two dimensional crystals.

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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