Citation:
Wen-qin Lu, Meng-bo Luo. AN EXACT ENUMERATION STUDY ON ADSORPTION TRANSITION OF A TETHERED CHAIN AT AN ADSORBING SURFACE[J]. Chinese Journal of Polymer Science,
2010, 28(2): 209-217.
doi:
10.1007/s10118-010-8250-7
AN EXACT ENUMERATION STUDY ON ADSORPTION TRANSITION OF A TETHERED CHAIN AT AN ADSORBING SURFACE
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 function 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 f = 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 f = 0.5.
English
AN EXACT ENUMERATION STUDY ON ADSORPTION TRANSITION OF A TETHERED CHAIN AT AN ADSORBING SURFACE
Abstract:
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 function 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 f = 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 f = 0.5.
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