Critical exponents for random knots

Abstract

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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References in corpus (3)

• Topological effects in ring polymers: A computer simulation study
• Topological effects in ring polymers (II): Influence of persistence length
• Equilibrium size of large ring molecules

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