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• W2055073847 abstract "We study the dynamics of tethered chains of length N on adsorbing surfaces, considering the dilute case; for this we use the bond fluctuation model and scaling concepts. In particular, we focus on the mean-square displacement of single monomers and of the center of mass of the chains. The characteristic time τ of the fluctuations of a free chain in a good solvent grows as τ∼Na, where the coefficient a obeys a=2ν+1. We show that the same coefficient also holds at the critical point of adsorption. At intermediate time scales single monomers show subdiffusive behavior; this concurs with the behavior calculated from scaling arguments based on the dynamical exponent a. In the adsorbed state τ⊥, the time scale for the relaxation in the direction perpendicular to the surface, becomes independent of N;τ⊥ is then the relaxation time of an adsorption blob. In the direction parallel to the surface the motion is similar to that of a two-dimensional chain and is controlled by a time scale given by τ‖∼N2ν2+1L−2Δν∕ν, where ν2 is the Flory exponent in two dimensions, ν is the Flory exponent in three dimensions, and Δν=ν2−ν. For the motion parallel to the surface we find dynamical scaling over a range of about four decades in time." @default.
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• W2055073847 date "2005-04-01" @default.
• W2055073847 modified "2023-09-27" @default.
• W2055073847 title "Dynamical scaling of single chains on adsorbing substrates: Diffusion processes" @default.
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• W2055073847 doi "https://doi.org/10.1063/1.1868556" @default.
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