Correction-to-scaling exponents and amplitudes for the correlation length of linear polymers in two dimensions
Z V Djordjevic; I Majid; H E Stanley; R J Dos Santos; Z V Djordjevic; Dept. of Phys., Boston Univ., Boston, MA, USA; I Majid; Dept. of Phys., Boston Univ., Boston, MA, USA; H E Stanley; Dept. of Phys., Boston Univ., Boston, MA, USA; R J Dos Santos; Dept. of Phys., Boston Univ., Boston, MA, USA
Журнал:
Journal of Physics A: Mathematical and General
Дата:
1983-10-01
Аннотация:
The authors consider the scaling behavior of the radius of gyration for a system of dilute linear polymers. They focus on rho <sub>N</sub>, the mean-square end-to-end distance of an N-step self-avoiding walk for which an additional two terms were recently calculated for the close-packed triangular lattice. Combining several extrapolation methods, they find that a consistent description of the scaling behaviour exists if and only if the correction-to-scaling exponent Delta is roughly half as large as commonly believed. They conclude that all data are consistent with the equation rho <sub>N</sub>=AN<sup>2 nu </sup>(1+B/N<sup>Delta </sup>+C/N) where nu =<sup>3</sup>/<sub>4</sub>, Delta equivalent to <sup>2</sup>/<sub>3</sub>, A equivalent to 1/ square root 2, AB equivalent to 0.21 and C<10<sup>-1</sup>.
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