- 作者: 梁鍹廣
- 作者服務機構: 國立中央大學物理學系
- 中文摘要: 我們有系統地應用兩種不同的近似法去分析兩個非線性模型。我們發現因時而變的解只存在於“系統大小展開法”而不存在於“矩函數展開法”。“信息擴散模型”相當穩定因而這兩近似法所得到的結果相差無幾。這兩種近似法都可適切地預測及描述“生物分子自我複製模型”中的兩個特異的隨機現象:亞穩恒性,和起始數過小引起的效應。
- 英文摘要: Two nonlinear stochastic models are analyzed systematically by employing two different approxima-tion schemes. It is found that for both models, explicit time-dependent solutions are possible in the sys-tem-size expansion scheme but not in the moment expansion scheme. The model of information diffusionis found to be very stable so that negligible difference exists between the two schemes. The results of bothschemes are also found to be in good agreement in predicting and describing the two stochastic peculiari-ties of the model of biomolecular self-replications: the metastability and the effect of small initial popula-tions.
- 中文關鍵字: nonlinear stochastic models; approximation schemes; information diffusion; biomolecular self-replication; metastability
- 英文關鍵字: --