
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。
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
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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