TY - JOUR
T1 - Topological entanglements in the percolation problem
AU - Kantor, Yacov
AU - Hassold, Gregory N.
PY - 1988
Y1 - 1988
N2 - Topological entanglements play an important role in the physical properties, such as viscosity, of macromolecular structures. We investigate the likelihood of the appearance of entanglements in the bond percolation problem. We show that below the percolation threshold pc (but extremely close to it) there exists an entanglement threshold pe. Between pe and pc, there exists an infinite spanning group of interlocked (linked) clusters. The achieved numerical resolution of pc-pe=(1.8±0.4)×10-7 required averaging over an extremely large number of configurations.
AB - Topological entanglements play an important role in the physical properties, such as viscosity, of macromolecular structures. We investigate the likelihood of the appearance of entanglements in the bond percolation problem. We show that below the percolation threshold pc (but extremely close to it) there exists an entanglement threshold pe. Between pe and pc, there exists an infinite spanning group of interlocked (linked) clusters. The achieved numerical resolution of pc-pe=(1.8±0.4)×10-7 required averaging over an extremely large number of configurations.
UR - http://www.scopus.com/inward/record.url?scp=0001162122&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.60.1457
DO - 10.1103/PhysRevLett.60.1457
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C2 - 10038045
AN - SCOPUS:0001162122
SN - 0031-9007
VL - 60
SP - 1457
EP - 1460
JO - Physical Review Letters
JF - Physical Review Letters
IS - 15
ER -