经典Sierpinski地毯和海绵的渗透性能
Percolation properties of the classic Sierpinski carpet and sponge
摘要：
Sierpinski地毯或海绵的迭代构造被证明是类似于不相关渗流的临界现象。临界指数的推导或计算（通过在地毯或海绵上无限迭代的随机行走），这些临界指数与从渗流理论获得的方程相同。然后有限尺寸标度给出标量传输属性的精确值（例如，有效导电率）。
英文摘要：
Iterative construction of a Sierpinski carpet or sponge is shown to be a critical phenomenon analogous to uncorrelated percolation. Critical exponents are derived or calculated (by random walks over the carpet or sponge at infinite iteration) that are related by equations identical to those obtained from percolation theory. Finite-size scaling then gives accurate values for the scalar transport properties (e.g., effective conductivity) of the carpet or sponge at any stage of iteration.
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。
