摘要翻译:
我们考虑了一个约束在圆柱表面上的电荷周期模式的模型。特别地,我们关注手性螺旋、非手性环或垂直片层的模式,在全局电子中和性的约束下。我们研究了图形的大小和俯仰角与圆柱体半径和盐浓度的关系。我们用数值和解析技术得到了一个相图。对于纯库仑相互作用,我们发现小半径为环相,大半径为手征螺旋相。在临界盐浓度下,特征畴尺寸发散,导致组分宏观相偏析,恢复手性对称性。我们讨论了我们的模型可能的结果和推广。
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英文标题:
《Spontaneous chirality via long-range electrostatic forces》
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作者:
Kevin L. Kohlstedt, Francisco Solis, Graziano Vernizzi, Monica Olvera
de la Cruz
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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 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.
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PDF链接:
https://arxiv.org/pdf/704.3435