Critical exponents for random knots

Details Critical exponents for random knots Critical exponents for random knots

1999-06-11

arxiv.org/abs/cond-mat/9906176v1

Phys. Rev. Lett., v. 85, n. 18, pp. 3858-3861, 2000.

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 0 figures

Scientific paper

10.1103/PhysRevLett.85.3858

The size of a zero thickness (no excluded volume) polymer ring is shown to
scale with chain length $N$ in the same way as the size of the excluded volume
(self-avoiding) linear polymer, as $N^{\nu}$, where $\nu \approx 0.588$. The
consequences of that fact are examined, including sizes of trivial and
non-trivial knots.

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