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高分子链超声裂解新的Monte Carlo算法

A New Monte Carlo Algorithm of Polymer Undergoing Ultrasonic Degradation
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摘要  设计了一种新的MonteCarlo算法,在计算机上模拟了高分子链的超声裂解过程。首先根据Ove nall模型用遍历法对高分子链进行模拟断裂,随后进行倒接,进而反演了整个裂解过程。在获得大量模拟结果的基础上,分别研究了极限断裂次数的频率分布,最可几极限断裂次数与聚合度之间的关系,极限断片长度的平均分布,以及分子量多分散系数与裂解程度之间的关系。 A new Monte Carlo algorithm is adopted to simulate the process of polymer undergoing ultrasonic degradation on computer. First , a single polymer chain is simulated cracking thoroughly by ovenall model, then fragments are connected conversely and in this way all the process of degradation is performed in reverse. On the base of attaining enough simulation data, relationship of most probable cracking times and polymerization degree, distribution of ultimate fragment length, and relationship of molecular weight dispersion coefficient and cracking times are investigated respectively.
出处 《功能高分子学报》 CAS CSCD 2003年第3期332-336,共5页 Journal of Functional Polymers
关键词 高分子链 超声裂解 MonteCarlo算法 聚合度 分子量 polymer ultrasonic degradation Ovenall model Monte Carlo simulation
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参考文献4

  • 1朱善农 钱人元.从分子量分布研究高聚物溶液的超声裂解动力学[J].化学学报,1963,29(1):19-26.
  • 2赵得禄 吴大诚.聚合物降解的Monte Carlo研究[J].数学的实践与认识,1983,13(2):18-21.
  • 3Hidetaka Tobita. Random degradation of branched polymers: 2, Multiple branches[J]. Macromolecules,1996,29(8) :3010-3021.
  • 4D W Ovenall, G W Hastings,P E M Allen. Degradation of polymer molecules in solution under influence of ultrasonic waves[J]. J Polym Sci, 1958,33:207.

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