TY - JOUR
T1 - Topologically driven swelling of a polymer loop
AU - Moore, Nathan T.
AU - Lua, Rhonald C.
AU - Grosberg, Alexander Y.
PY - 2004/9/14
Y1 - 2004/9/14
N2 - Numerical studies of the average size of trivially knotted polymer loops with no excluded volume were undertaken. Topology was identified by Alexander and Vassiliev degree 2 invariants. Probability of a trivial knot, average gyration radius, and probability density distributions as functions of gyration radius were generated for loops of up to N = 3,000 segments. Gyration radii of trivially knotted loops were found to follow a power law similar to that of self-avoiding walks consistent with earlier theoretical predictions.
AB - Numerical studies of the average size of trivially knotted polymer loops with no excluded volume were undertaken. Topology was identified by Alexander and Vassiliev degree 2 invariants. Probability of a trivial knot, average gyration radius, and probability density distributions as functions of gyration radius were generated for loops of up to N = 3,000 segments. Gyration radii of trivially knotted loops were found to follow a power law similar to that of self-avoiding walks consistent with earlier theoretical predictions.
UR - http://www.scopus.com/inward/record.url?scp=4544379868&partnerID=8YFLogxK
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U2 - 10.1073/pnas.0403383101
DO - 10.1073/pnas.0403383101
M3 - Article
C2 - 15340137
AN - SCOPUS:4544379868
SN - 0027-8424
VL - 101
SP - 13431
EP - 13435
JO - Proceedings of the National Academy of Sciences of the United States of America
JF - Proceedings of the National Academy of Sciences of the United States of America
IS - 37
ER -