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arXiv 0704.3222math-phmath.MP
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共聚物-均聚物共混物：整体能量最小化和整体能量界限

Copolymer-homopolymer blends: global energy minimisation and global energy bounds

Yves van Gennip, Mark A. Peletier

备注：
31 pages, 6 Postscript figures; to be published in Calc. Var. Partial Differential Equations. Version history: Changes in v2 w.r.t v1 only concern metadata. V3 contains some minor revisions and additions w.r.t. v2. V4 corrects a confusing typo in one of the formulas of the appendix. V5 is the definitive version that will appear in print
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摘要：

本文研究了一种双嵌段共聚物/均聚物共混物的变分模型。能量泛函是Ohta-Kawasaki能量广义化的尖锐界面极限。在一维，在真正的线和环面上，我们证明了存在的极小这个功能，我们描述了完整的详细结构和能量的驻点。此外，我们讨论了极小化器可能是非唯一的条件。在更高的维度，我们构建上下限的能量极小，并明确计算球对称配置的能量。

英文摘要：

We study a variational model for a diblock-copolymer/homopolymer blend. The energy functional is a sharp-interface limit of a generalisation of the Ohta-Kawasaki energy. In one dimension, on the real line and on the torus, we prove existence of minimisers of this functional and we describe in complete detail the structure and energy of stationary points. Furthermore we characterise the conditions under which the minimisers may be non-unique. In higher dimensions we construct lower and upper bounds on the energy of minimisers, and explicitly compute the energy of spherically symmetric configurations.

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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