AN EXACT ENUMERATION STUDY ON ADSORPTION TRANSITION OF A TETHERED CHAIN AT AN ADSORBING SURFACE  

作　　者：陆文琴 

机构地区：[1]Department of Physics,Zhejiang University

出　　处：《Chinese Journal of Polymer Science》2010年第2期209-217,共9页高分子科学（英文版）

基　　金：supported by the National Natural Science Foundation of China(No.20874088)

摘　　要：The number of configurations, c（n, m）, of a single chain with length n attached to a flat surface with m monomers contacting the surface is exactly enumerated. A fimction of c（n, m） about m and n is obtained. From the function, a scaling law for mean energy of chain is derived, and we estimate the critical point εc = 0.276 and the crossover exponent φ = 0.5. The free energy difference between tethered chain and free chain in dilute solution is also studied, which shows the critical adsorption point is about 0.272 for infinite long chain with φ= 0.5.The number of configurations, c（n, m）, of a single chain with length n attached to a flat surface with m monomers contacting the surface is exactly enumerated. A fimction of c（n, m） about m and n is obtained. From the function, a scaling law for mean energy of chain is derived, and we estimate the critical point εc = 0.276 and the crossover exponent φ = 0.5. The free energy difference between tethered chain and free chain in dilute solution is also studied, which shows the critical adsorption point is about 0.272 for infinite long chain with φ= 0.5.

关 键 词：Critical point Exact enumeration Adsorption transition Polymer chain. 

分 类 号：X50[环境科学与工程—环境工程]