Mechanical equilibrium of conformal crystals

被引：38

作者：

Rothen, F ^{[1
]}

Pieranski, P ^{[1
]}

机构：

[1] POLISH ACAD SCI,INST MOLEC PHYS,PL-60179 POZNAN,POLAND

来源：

PHYSICAL REVIEW E | 1996年 / 53卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.53.2828

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The relation between a conformal mapping and the geometrical features of the conformal lattice it defines is analyzed. The field created by particles interacting via inverse power law forces and located in the vortices of the conformal lattice is determined. The field of inertial forces within a rotating disk is shown to fulfill the requirements, allowing the formation of a strictly conformal crystal. Elastic properties of the conformal crystals are analyzed: their elasticity is shown to be described by a unique elastic modulus. The distortion of a strictly conformal crystal that is induced by a small deformation of the external field is calculated.

引用

页码：2828 / 2842

页数：15

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