The Annealed Entropy of Wiener Number on Random Double Hexagonal Chains

• 作者: Haizhen Ren Xueli Su
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: RANDOM BENZENOID Chain WIENER NUMBER ENTROPY
• 年，卷（期）: 2017,（10）
• 页码范围: 1473-1480
• 页数: 8页
• 分类号: O1

摘要

We study a random planar honeycomb lattice model, namely the random double hexagonal chains. This is a lattice system with nonperiodic boundary condition. The Wiener number is an important molecular descriptor based on the distances, which was introduced by the chemist Harold Wiener in 1947. By applying probabilistic method and combinatorial techniques we obtained an explicit analytical expression for the expected value of Wiener number of a random double hexagonal chain, and the limiting behaviors on the annealed entropy of Wiener number when the random double hexagonal chain becomes infinite in length are analyzed.