二维静态格点和的闭合形式计算
Closed-form evaluation of 2D static lattice sums
摘要:
本文利用第一类和第二类完全椭圆积分的性质,导出了格和的封闭式公式及其它新公式。规则和随机复合材料的有效性能的应用进行了讨论。我们还讨论了计算中所用的Eisenstein求和法和Rayleigh方法。
英文摘要:
In the present paper, employing properties of the complete elliptic integrals of the first and second kind, we deduce closed-form formulae for the lattice sums and other new formulae. Applications to the effective properties of regular and random composites are discussed. We also discuss the Eisenstein summation method and the Rayleigh method used in computations.
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。