复杂体中的基态
Ground states in complex bodies
摘要：
本文提出了一个统一的框架来分析各种弹性复杂体中基态的存在性。该方法利用经典的连续性结果，Sobolev映射和笛卡尔电流。弱自同态用来表示宏观形变。Sobolev映射和笛卡尔流描述了物质元素的内部子结构。导出了非正则极小元的平衡方程。贡献的辩论的作用平衡的构型行动如下。在描述了这里收集的一般结果的可能的应用列表之后，在最后给出了在介电稳定的准晶中存在基态的具体讨论。
英文摘要：
A unified framework for analyzing the existence of ground states in wide classes of elastic complex bodies is presented here. The approach makes use of classical semicontinuity results, Sobolev mappinngs and Cartesian currents. Weak diffeomorphisms are used to represent macroscopic deformations. Sobolev maps and Cartesian currents describe the inner substructure of the material elements. Balance equations for irregular minimizers are derived. A contribution to the debate about the role of the balance of configurational actions follows. After describing a list of possible applications of the general results collected here, a concrete discussion of the existence of ground states in thermodynamically stable quasicrystals is presented at the end.
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