本頁只刊出中文翻譯與中文說明；英文原文請見下方原文連結。
原文連結
論文資訊
- 類型：已發表論文
- 日期：2018-10-05
摘要
We study proper lattice animals for bond- and site-滲流 on the hypercubic lattice Z(d) to derive asymptotic series of the 滲流 threshold p(c) in 1/d, The first few terms of these series were computed in the 1970s, but the series have not been extended since then. We add two more terms to the series for p(c)(site) and one more term to the series for p(c)(bond), using a combination of brute-force enumeration, combinatorial identities and an approach based on Pade approximants, which requires much fewer resources than the classical method. We discuss why it took 40 yr to compute these terms, and what it would take to compute the next ones. En passant, we present new perimeter polynomials for site and bond 滲流 and numerical values for the growth rate of bond animals.
※ 此為已發表論文，全文需透過期刊付費取得