Abstract: The configurational properties of tail-like polymer chains with one end attached to a flat surface are studied by using dynamic Monte Carlo technique. We find that the probability distribution of the free end in z direction P(R_z) and the density profile ρ(z) can be scaled approximately by a factor β to be a length independent function for both random walking (RW) and self-avoiding walking (SAW) tail-like chains, where the factor β is related to the mean square end-to-end distance <R²>. The scaled P(R_z) of the SAW chain roughly overlaps that of the RW chain, but the scaled ρ(z) of the SAW chain locates at smaller βz than that of the RW chain.

Key words: Probability distribution, Monte Carlo simulation, Tail-like polymer chain

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