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arXiv 2104.04175cond-mat.softcond-mat.mtrl-sci
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接触电子团簇的精确极化能

Exact polarization energy for clusters of contacting dielectrics

Huada Lian, Jian Qin

摘要:

当电介质颗粒形成紧密接触时,感生的表面电荷出现发散。由于需要高的空间分辨率,因此用数值方法解决这个奇异性是非常昂贵的。我们表明,这种奇异性的强度是对数的粒子间的分离和介电常数。提出了一种正则化方案来隔离这种奇异性,并计算接触的电介质颗粒簇的精确内聚能。结果表明,当介电常数较高时,极化能稳定团簇的开放构型,这与导电粒子的行为一致;当介电常数较低时,极化能稳定团簇的紧凑构型。

英文摘要:

The induced surface charges appear to diverge when dielectric particles form close contacts. Resolving this singularity numerically is prohibitively expensive because high spatial resolution is needed. We show that the strength of this singularity is logarithmic in both inter-particle separation and dielectric permittivity. A regularization scheme is proposed to isolate this singularity, and to calculate the exact cohesive energy for clusters of contacting dielectric particles. The results indicate that polarization energy stabilizes clusters of open configurations when permittivity is high, in agreement with the behavior of conducting particles, but stabilizes the compact configurations when permittivity is low.

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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