Critical exponents for random knots |
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Authors: | Grosberg |
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Affiliation: | Department of Physics, University of Minnesota, 116 Church Street SE, Minneapolis, Minnesota 55455, USA. |
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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. |
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