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摘要翻译：
本文给出了在均匀外电场中偶极液体中产生的腔内场的解析理论和模拟结果。解析理论表明，连续静电的极限是通过对纵向极化波不衰减的微观响应函数的奇异性来达到的。微观腔中的场与宏观预测有很大不同，低极性电介质的连续极限与麦克斯韦方程组的解不同。计算机蒙特卡罗模拟从未达到标准的连续介质极限，而是随着腔体尺寸的增加而收敛到新的连续介质解。
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英文标题：
《Cavity Field in Molecular Liquids. When a Polar Liquid Becomes a
Dielectric?》
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作者：
Daniel R. Martin and Dmitry V. Matyushov
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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：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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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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英文摘要：
We present the results of an analytical theory and simulations of the field inside a cavity created in a dipolar liquid placed in a uniform external electric field. The analytical theory shows that the limit of continuum electrostatics is reached through a singularity in the microscopic response function responsible for a non-decaying longitudinal polarization wave. Fields in microscopic cavities are much different from macroscopic predictions, and low-polarity dielectrics are predicted to have a continuum limit distinct from the solution of Maxwell's equations. Computer Monte Carlo simulations never reach the standard continuum limit and instead converge to the new continuum solution with increasing cavity size.
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PDF链接：
https://arxiv.org/pdf/709.4451
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