Stability analysis of three-dimensional colloidal domains: quadratic fluctuations.

Stability analysis of three-dimensional colloidal domains: quadratic fluctuations.
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DOI:
10.1021/jp0524431
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发表时间:
2005-09
期刊:
The journal of physical chemistry. B
影响因子:
--
通讯作者:
Jianlan Wu;Jianshu Cao
Jianlan Wu;Jianshu Cao
中科院分区:
其他
文献类型:
--
作者:
Jianlan Wu;Jianshu Cao

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三维区域图案可以在带电的胶体悬浮液中自组装,具有竞争的短程吸引和远程汤川排斥。在我们上一篇论文中对基态域形状的研究之后,我们研究了孤立的球形、圆柱形和层状畴在边界上形状波动的稳定性。在连续介质模型的框架下,我们将自由能的变化展开为定容约束下的二次项。对于所讨论的三种形状(球体、圆柱体和片层),具有平衡尺寸的畴相对于形状波动是稳定的,并且畴的稳定性随着空间对称性的降低而降低。
Three-dimensional domain patterns can self-assemble in a charged colloidal suspension with competing short-range attraction and long-range Yukawa repulsion. Following the investigation of the ground-state domain shapes in our previous paper, we study the stability of isolated spherical, cylindrical, and lamellar domains with respect to shape fluctuations on boundaries. In the framework of the continuum model, we expand the free energy variation to quadratic terms under the constraint of constant volume. For the three shapes (sphere, cylinder, and lamella) discussed, domains with equilibrium sizes are stable with respect to shape fluctuations, and the stability of domains decreases as the spatial symmetry decreases.