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The Micro-structure and Phase Transition Process of Macromolecular Microsphere Composite (MMC) Hydrogel

 

Professor Zhang Hui (张辉 教授)

Beijing Normal University

 

 
Abstract: In this talk, I will present the micro-structure and the phase transition process of Macromolecular Microsphere Composite (MMC) Hydrogel. Firstly a model to describe the micro-structure of Macromolecular Microsphere Composite (MMC) Hydrogel is proposed in the framework of self-consistent mean field theory (SCFT). The equation system derived by SCFT approximation is solved by a relaxation algorithm. From the numerical simulations of the model, we find that two model parameters play important role in describing the micro-structure of MMC hydrogel, the interactions between two species (polymer chains and MMS spheres) and the volume fraction of MMS spheres. The role of various other model parameters on the structure of the hydrogel is also discussed in this paper. The simulation results are shown to be consistent with the observation from the experiments. Moreover, we also show some new microstructures discovered using the SCFT model. Then, we use the Time-Dependent Ginzburg–Landau (TDGL) mesoscopic model to simulate the phase transition process of macromolecule microsphere composite (MMC) hydrogel. We propose a free energy for such a reticular structure according to the structures of MMC hydrogel and entropy theory. This work generalizes the mean field theory confined by Flory–Huggins for free energy in a polymer blend system. A spectral method is adopted to numerically solve the MMC-TDGL equation. The numerical results are consistent with chemical experiments, showing the network structure. According to the numerical results at different temperatures, we understand that the system shows intermittent phenomenon with increasing reaction temperature, which is a very good explanation of chemical experiments.  

报告人简介: 张辉,河南新安人,理学博士,教授。2001年7月于中国科学院数学与系统科学研究院系统科学研究所获理学博士;2001年7月至2003年6月在北京大学数学科学学院做博士后,导师张平文教授和鄂维南院士。2003年6月到北京师范大学工作至今。2005年7月任副教授,2010年10月任教授。曾任中国计算数学学会理事,北京市计算数学理事。主持完成国家自然科学基金项目2项,教育部重点项目1项,主持校级重点项目1项,主持教育部回国留学人员启动基金项目,作为骨干成员参与973项目1项. 2008年获霍英东教育基金会第十一届高等院校青年教师奖(自然科学),2010年获北京师范大学第十届励耘奖学基金优秀青年教师一等奖.2012年入选教育部新世纪优秀人才计划。 2007年3月至2008年4月,受德国洪堡基金资助于德国Max-Planck Institute of Mathematical Science(Leipzig)和Otto-von-Guericke University (Magdeburg)访问。主要从事偏微分方程理论和复杂流体科学中的理论和计算研究,对复杂流体的FENE模型和液晶流体的棒状模型的分析和计算获得了一系列的重要结果,得到国际一些上重要人物的引用和评价 (比如P.L.Lions,P.Constantin,C. Le Bris, F. Otto等),现在主要研究软物质材料的建模、分析和计算。

Date&Time: January 24, 2013 (Thursday), 14:30–15:30  
Location: 606 Conference Room



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