无限简单立方晶格的电阻计算--格林函数的应用
Resistance Calculation for an infinite Simple Cubic Lattice- Application of Green's Function
摘要:
本文证明了无限完美单立方(SC)中原点与任意格点(l,m,n)之间的电阻可用已知的G_0(0,0,0)值合理地表示。本文还研究和计算了当其中一个电阻从理想晶格中去除时,SC中任意位置之间的电阻。最后,研究了SC网络在完全和扰动情况下电阻的渐近行为
英文摘要:
It is shown that the resistance between the origin and any lattice point (l,m,n) in an infinite perfect Simple Cubic (SC) is expressed rationally in terms of the known value of G0(0,0,0). The resistance between arbitrary sites in a SC is also studied and calculated when one of the resistors is removed from the perfect lattice. Finally, the asymptotic behavior of the resistance for both the perfect and perturbed SC network is investigated
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