3-step Fibonacci sequences in nilpotent groups
Applied Mathematics and Computation, cilt.144, ss.517-527, 2003 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 144
- Basım Tarihi: 2003
- Doi Numarası: 10.1016/s0096-3003(02)00427-7
- Dergi Adı: Applied Mathematics and Computation
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
- Sayfa Sayıları: ss.517-527
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Marmara Üniversitesi Adresli: Hayır
Özet
We give general topological rules which very accurately predict the chemical trends in glass transition temperature $T_g$ variation as a function of cross-linking. In multicomponent glasses, these chemical trends permit to distinguish homogeneous compositions (random network) from inhomogeneous ones (local phase separation). The stochastic origin of the Gibbs-Di Marzio equation is predicted at low connectivity and the analytical expression of its parameter emerges naturally from the calculation.