简立方格点自避行走所模拟的高分子链吸附和塌缩  

ADSORPTION AND COLLAPSE OF A POLYMER CHAIN MODELED BY A SELF-AVOIDING WALK ON THE CUBIC LATTICE

作　　者：李晓毅[1] 李鑫[1] 吴大诚[1] 赵得禄[2] 

机构地区：[1]四川大学纺织学院,成都610065 [2]中国科学院化学研究所高分子物理及化学国家重点实验室,北京100080

出　　处：《高分子学报》2001年第5期618-624,共7页Acta Polymerica Sinica

基　　金：国家自然科学基金资助项目 (基金号 2 97740 16 ) ;国家基础性重大关键项目---高分子凝聚态基本物理问题研究 ;国家重点基础研究专项经费资助 (G19990 6 480 0 )

摘　　要：采用复合Markov链法 ,针对简立方格点上的自避行走模型 ,研究了同时具有对壁的吸附作用ε1 和最近邻相互作用ε2 的高分子链的热力学性质 .相互作用能量参数ε1 和ε2 分别联系于参数α和 β .令链长N=10 0 ,由这种MonteCarlo方法可得出链的自由能FN(α ,β) ,热容2 FN(α ,β) /2 α和2 FN(α ,β) /2 β ,吸附点平均数〈m〉/N ,最近邻相互作用对平均数〈n〉/N和均方末端距对壁的垂直分量RZ2 .除已有方法由热容数据可绘出α β相图外 ,建议由结构参数〈m〉/N ,〈n〉/N和RZ2 绘制相图 ,并发现二者基本一致 .所得相图表明 ,存在 4个相区 ,分别是解吸 膨胀相 (DE) ,吸附 膨胀相 (AE) ,解吸 紧密相 (DC)和吸附 紧密相 (AC) .在伸展区和塌缩区 ,随着吸附作用的增强 ,会出现吸附相转变 .在解吸区和吸附区 ,随着自相互作用的增大 ,也将出现塌缩相转变 .相图出现了两个三相点 ,即AE AC DC三相点和AE DEThe thermodynamic properties of a polymer chain with a length of N = 100 near an adsorbed surface, modeled by a self-avoiding walk on the simple cubic lattice in addition to both the vertex-plane interaction energy epsilon (1) and the vertex-vertex interaction energy epsilon (2), were calculated by means of the multiple Markov chains method. These two interaction energy terms epsilon (1) and epsilon (2) were related to the vertex-plane interaction parameter alpha and the vertex-vertex interaction parameter beta. The statistical physical quantities obtained by Mont Carlo simulations include the free energy F-N (alpha, beta), the heat capacities partial derivative F-2(N) (alpha, beta)/partial derivative (2) alpha and partial derivative F-2(N) (alpha, beta)/partial derivative (2)beta, the mean number of visits per edge (m)/N, the mean number of contacts per edge (n)/N and the mean square z-component R-z(2) of the end-to-end distance. It suggests a new method to construct the alpha-beta phase diagram by structure parameters [m]/N, [n]/N and R-z(2) which is very similar to that obtained by the traditional method using peaks of the heat capacity. The alpha-beta phase diagrams indicated that there are four regions of phases, which are desorbed-expanded (DE), adsorbed-expanded (AE), desorbed-compact, (DC) and adsorbed-compact (AC) In both expanded phase and compact phase, there were adsorption transitions as the surface interaction increased. In both desorbed and adsorbed phases, there were collapse transitions as the nearest-neighbor interaction increased. It is also found that there are two triple points in the alpha-beta phase diagram, which represent the coexistance of the three phases AE-AC-DC and AE-DE-DC, respectively, and AE-DE-DC, respectively.

关 键 词：自避行走 吸附 塌缩 最近邻相互作用 相图 高分子链 形状 热力学性质 

分 类 号：O631[理学—高分子化学]