Statistical theory of entanglement density in linear polymers and fiber systems. III. Three-dimensional entanglement of rigid and flexible chains

1977 ◽  
Vol 67 (6) ◽  
pp. 2892 ◽  
Author(s):  
Domenico Acierno ◽  
Andrzej Ziabicki
Keyword(s):  
Statistical Theory ◽  
Three Dimensional ◽  
Linear Polymers ◽  
Entanglement Density

A Simple Statistical Theory for Grain Growth in Materials.

1990 ◽  
Vol 209 ◽  
Author(s):  
P. Mulheran ◽  
J.H. Harding
Keyword(s):  
Growth Rate ◽  
Monte Carlo ◽  
Statistical Theory ◽  
Stochastic Model ◽  
Grain Growth ◽  
Three Dimensional ◽  
Monte Carlo Procedure ◽  
Short Time ◽  
2D And 3D ◽  
Good Agreement

A Monte Carlo procedure has been used to study the ordering of both two and three dimensional (2d and 3d) Potts Hamiltonians, further to the work of Anderson et al. For the 3d lattice, the short time growth rate is found to be much slower than previously reported, though the simulated microstructure is in agreement with the earlier studies. We propose a new stochastic model that gives good agreement with the simulations.

Three-dimensional statistical theory for analyzing high-gain free-electron laser at saturation

2014 ◽  
Vol 26 (2) ◽  
pp. 25103
Author(s):  
张辉 Zhang Hui ◽  
张鹏飞 Zhang Pengfei ◽  
李一丁 Li Yiding
Keyword(s):  
Statistical Theory ◽  
Free Electron ◽  
Free Electron Laser ◽  
Three Dimensional ◽  
High Gain

Synthesis and Properties of Hybrid Materials for Ion-Exchange and Complexing Membranes

2013 ◽  
Vol 749 ◽  
pp. 283-288 ◽  
Author(s):  
Yury Pozhidaev ◽  
Oksana Lebedeva ◽  
Evgenya Sipkina ◽  
Alexandra Chesnokova ◽  
Nikolay Ivanov
Keyword(s):  
Hybrid Materials ◽  
Hybrid Composites ◽  
Sol Gel ◽  
Polymer Networks ◽  
Glycidyl Ether ◽  
Three Dimensional ◽  
Polymeric Materials ◽  
Interpenetrating Polymer Networks ◽  
Linear Polymers ◽  
Sol Gel Synthesis

Hybrid materials are attractive for a large range of applications from medicine and biotechnology to telecommunication systems and fuel cells. In the present research we have studied sol-gel synthesis of hybrid composites based on carbofunctional organosilicon monomers N,N-bis-(3-triethoxysilylpropyl) thiocarbamide (I) or 2-{[3-(triethoxysilyl) propyamino} pyridine (II), and copolymers of ethylene glycol vinyl glycidyl ether with vinyl chloride.The polymeric materials were characterized by scanning electron microscope (SEM) and IR-spectroscopy. Gel products possess high thermal stability (decomposition temperatures reach 250 °С) and have developed specific surface (to 20 m2g-1).The synthesized composites comprise semi-interpenetrating polymer networks, consisting of three-dimensional and linear polymers that cannot be separated due to the mechanical interlacing of theirs chains. Hybrid composites have a value of sorption capacity for Pt (IV) ions of 70 (I) and 28 (II) mgg-1. Proton conductivity of membranes based on the synthesized composites is characterized by the values 3.52 10-2(I) and 1.19 10-2(II) Scm-1measured at temperature of 25 °C.

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