TITLE

Large scale Monte Carlo simulations of center-adsorbed star polymers

AUTHOR(S)
Shida, Kazuhito; Ohno, Kaoru; Kimura, Masayuki; Kawazoe, Yoshiyuki
PUB. DATE
November 1996
SOURCE
Journal of Chemical Physics;11/15/1996, Vol. 105 Issue 19, p8929
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
A star-shaped polymer whose center unit is adsorbed on a surface offers a peculiar example of surface-grafted polymers. When it is isolated in a good solvent, it has been conjectured that several distinct scaling relations hold for the monomer and end-point density profiles. Especially, the density decay in a direction parallel to the surface is described by a new critical exponent λ(f) as ρ(r,z=0)∼r-d+λ(f). However, the precise values of the exponent as a function of the number of arms were still unclear. Another interesting quantity is the total number of configurations behaving as N∼lγs(f)-1μfl. Here, l is the length of the arm, μ the effective coordination number for a single chain, and λs(f) a new surface critical exponent yet to be known. We perform large scale Monte Carlo simulations of such an adsorbed star with the number of arms, f, ranging from 2 to 15, to verify the predicted scaling theory and to calculate various static properties and exponents. Estimates of γs(f ) are presented. The validity of the scaling relations is clearly shown, and the first estimation of the value of λ(f ) is given also. Furthermore, an empirical form of the exponent λ(f ) as a function of f is proposed. © 1996 American Institute of Physics.
ACCESSION #
7645309

 

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