title: Critical exponents for random knots
abstract: The size of a zero-thickness (no excluded volume) nonphantom 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, that is, as Nnu, where nu approximately 0.588. The consequences of this fact are examined, including the sizes of trivial and nontrivial knots.
authors.affiliation: Department of Physics, University of Minnesota, 116 Church Street SE, Minneapolis, Minnesota 55455, USA.
authors.initials: AY
authors.lastname: Grosberg