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自由旋转珠杆链分子模型的Brown动力学模拟 被引量:2

BROWNIAN DYNAMICS SIMULATION OF FREELY ROTATING BEAD-ROD CHAIN MODEL
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摘要 利用聚合物分子理论,推导了自由旋转珠杆链分子模型在广义坐标下的伊藤型随机微分方程(朗之万方程),构造了相应的Brown动力学模拟算法,首次研究了该模型在定常剪切流和拉伸流中的动力学行为及其流变性质,并在微机上利用MATHE-MATICA软件实现了流动中高分子微观结构形态演变的动态显示. Using kinetic theory, the Ito stochastic-differential equations for the freely rotating bead-rod chain model is derived in generalized coordinates. A corresponding algorithm is then proposed to simulate the dynamic behavior and rheological properties of this model in steady shear flow and elongated flow. Computer animation of conformational transitions in polymer chains is realized with the help of MATHEMATICA software.
机构地区 浙江大学力学系
出处 《化工学报》 EI CAS CSCD 北大核心 1997年第4期395-400,共6页 CIESC Journal
基金 国家自然科学基金资助项目(No.19472056)
关键词 分子模型 动力学模拟 链结构 自由旋转杆链 molecular model, kinetic theory, Brownian dynamics simulation, rheological properties
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参考文献2

  • 1Liu T W,J Chem Phys,1989年,90卷,10期,5826页
  • 2范西俊,J Non-Newtonian Fluid Mech,1986年,19卷,303页

同被引文献45

  • 1方建农,范西俊.哑铃式聚合物分子模型流变性质的Brown动力学模拟[J].力学学报,1997,29(3):349-354. 被引量:6
  • 2Rouse. P.E. A theory of the linear viscoelastic properties of dilute solutions of coiling polymers [J]. Journal of Chemical Physics . 1953, 21:1272 - 1280.
  • 3Liu. T.W. Flexible polymer chain dynamics and rheological properties in steady flows [J]. Journal of Chemical Physics. 1989, 90:5826 - 5842.
  • 4Doyle. P.S. , Shaqfeh E. S. G. Dynamic simulation of freely-draining Flexible bead-rod chains: start up of extensional and shear flow [J]. Journal of Non-Newtonian Fluid Mechanics. 1998, 76 : 43 - 78.
  • 5Agarwal. U.S. , Bhargava R. , Mashelkar R. A. Brownian dynamics simulation of a polymer molecule in solution under elongational flow [J]. Journal of Chemical Physics. 1998, 108:1610 - 1617.
  • 6Neelov. Igor M. , David B. Adolf, Alexey V. Lyulin, Geoffrey R. Davies. Brownian dynamics simulation of linear pol- ymers under elongational flow.. Bead-rod model with hydrodynamic interactions [J]. Journal of Chemical Physics. 2002, 117: 4030-4041.
  • 7Somasi. M. , Khomami. B. , Woo. N.J. , Hur. J.S. , Shaqfeh E. S.G. Brownian dynamics simulations of bead-rod and bead-spring chains: numerical algorithms and coarse-graining issues [J]. Journal of Non-Newtonian Fluid Mechanics. 2002, 108:227 - 255.
  • 8Fetsko. S.W. , Cummings. P. T. Brownian dynamics simulation of bead-spring chain models for dilute polymer solu tions in elongational flow [J]. Journal of Rheology. 1995, 39:285 -299.
  • 9Larson. R.G. , Hu. H. , Smith D. E. Brownian dynamic simulations of a DNA molecule in an extensional flow field [J]. Journal of Rheology. 1999, 43:267 - 304.
  • 10Jendrejack. R.M. , DePablo. J.J. , Graham. M. Stochastic simulations of DNA in flow: dynamics and the effects of hy- drodynamic interactions [J]. Journal of Chemical Physics. 2002, 116:7752 - 7759.

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