Stressed backbone and elasticity of random central-force systems.
Stressed backbone and elasticity of random central-force systems.
复制标题
强调随机中心力系统的骨干和弹性。
作者：
Moukarzel;Duxbury
我们使用了一种新的算法来寻找最多10个{sup 6}个位点的“通用”位点稀释三角形晶格的承载应力骨干。一般晶格可以通过随机置换规则晶格的位置而得到。渗流阈值{ital p}{sub {ital c}}=0.6975{plus_minus}0.0003，相关长度指数{nu}=1.16{plus_minus}0.03，骨架分形维数{ital D}{sub {ital b}}=1.78{plus_minus}0.02。主链上的“临界键”（如果移除它们，刚性就会丧失）的数量为{ital L}{sup {ital x}}，其中{ital x}=0.85{正负}0.05。计算了杨氏模量。{版权}{ital 1995} {ital The} {ital American} {ital Physical} {ital Society}。
We use a new algorithm to find the stress-carrying backbone of ``generic`` site-diluted triangular lattices of up to 10{sup 6} sites. Generic lattices can be made by randomly displacing the sites of a regular lattice. The percolation threshold is {ital p}{sub {ital c}}=0.6975{plus_minus}0.0003, the correlation length exponent {nu}=1.16{plus_minus}0.03, and the fractal dimension of the backbone {ital D}{sub {ital b}}=1.78{plus_minus}0.02. The number of ``critical bonds`` (if you remove them rigidity is lost) on the backbone scales as {ital L}{sup {ital x}}, with {ital x}=0.85{plus_minus}0.05. The Young`s modulus is also calculated. {copyright} {ital 1995} {ital The} {ital American} {ital Physical} {ital Society}.