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arXiv 0704.3435cond-mat.softcond-mat.stat-mech
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长程静电力作用下的自发手性

Spontaneous chirality via long-range electrostatic forces

Kevin L. Kohlstedt, Francisco Solis, Graziano Vernizzi, Monica Olvera de la Cruz

摘要:

我们考虑一个模型的周期图案的电荷约束在一个圆柱形表面。特别是,我们专注于模式的手性螺旋,非手性环或垂直lamellae,与全球电中性的约束。我们研究了图案的大小和螺距角对圆柱半径和盐浓度的依赖性。我们得到了一个相图,通过使用数值和分析技术。对于纯库仑相互作用,我们发现一个小半径的环形相位和大半径的手征螺旋相位。在临界盐浓度下,特征畴尺寸发散,导致组分的宏观相分离并恢复手征对称性。我们讨论我们的模型可能的后果和概括。

英文摘要:

We consider a model for periodic patterns of charges constrained over a cylindrical surface. In particular we focus on patterns of chiral helices, achiral rings or vertical lamellae, with the constraint of global electroneutrality. We study the dependence of the patterns' size and pitch angle on the radius of the cylinder and salt concentration. We obtain a phase diagram by using numerical and analytic techniques. For pure Coulomb interactions, we find a ring phase for small radii and a chiral helical phase for large radii. At a critical salt concentration, the characteristic domain size diverges, resulting in macroscopic phase segregation of the components and restoring chiral symmetry. We discuss possible consequences and generalizations of our model.

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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