吸附环形高分子链的热力学统计性质

论文编号:WLX070  字数:7655,页数:17

摘要

 本文主要介绍了高分子科学发展的意义、历程以及目前国内外研究的发展状况，并针对表面吸附的环形高分子链进行统计分析。环形高分子链由于其特殊的结构而具备了特殊的性能和行为。本文基于简立方格子模型和完全计算法，统计了表面吸附的环形高分子链的均方回转半径、热容、平均自由能以及形状因子等参数，从而获得分子链的形状、尺寸、热力学性质随温度的变化关系及环形高分子链的相变行为。
 
关键词：表面吸附  环形高分子链  完全计算法  热力学性质

ABSTRACT

 This article gives an overview of the significance of polymer science, course and the development of current researches at home and abroad. The adsorbed ring polymer chains have special performance and behavior because of its special structure. The work bases on the simple cubic lattice model and enumeration calculation method to calculate the mean-square radii of gyration, the heat capacity, the average Helmholtz free energy and the shape factor of the adsorbed ring polymer chains, and then obtain the shape, size, thermodynamic properties as a function of temperature and the phase transformation for adsorbed ring polymer chains.
 
Keywords: absorption of surface   ring polymer chains   enumeration calculation method thermodynamics properties

目录

中文摘要......................................................................i
英文摘要.....................................................................ii
目录........................................................................iii
第一章   绪论 ................................................................1
   1.1   选题背景与意义.......................................................1
   1.2   研究目的与意义.......................................................2
第二章   计算的模型和方法.....................................................3
   2.1   吸附环形高分子链的计算模型...........................................3
   2.2   热力学统计参数的计算方法.............................................4
         2.2.1均方回转半径...................................................4
         2.2.3形状因子.......................................................4
 2.2.1吸附分数.......................................................4
 2.2.4热容...........................................................5
 2.2.2平均自由能 ....................................................5
第三章   热力学统计性质的结果分析.............................................6
   3.1   高分子链的大小和形状.................................................6
         3.1.1均方回转半径...................................................6
         3.2.3形状因子.......................................................7
 3.2.1吸附分数.......................................................8
   3.2   热力学性质...........................................................9
 3.2.4热容...........................................................9
 3.2.2平均自由能 ....................................................10
第四章   总结.................................................................12
致谢..........................................................................13
参考文献......................................................................14