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Preprint . 2026
License: CC BY
Data sources: Datacite
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非局域中心力简立方晶格中的宏观各向同性涌现

非局域中心力简立方晶格中的宏观各向同性涌现

Abstract

我们证明具有非局域中心力相互作用的简立方晶格在长波极限下涌现宏观各向同性。关键条件是键伸缩贡献主导于键弯曲贡献。证明是代数性的——恒等式 K_{xx} R_y^2 = K_{xy} R_x R_y 对任意中心势逐项成立——从而确立 C_{12} = C_{44} 为精确等式。使用高斯权重函数和幂律势的数值验证确认了该结果。

Keywords

晶格动力学,线弹性,数学物理,柯西关系,宏观各向同性,中心力相互作用,非局域晶格模型

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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