Melt of polymer rings: The decorated loop model
1 Institut Charles Sadron, CNRS- UdS - 23 rue du Loess, 67034 Strasbourg Cédex 2, France
2 Department of Physics, University of Florida - Gainesville, FL, USA
Received: 19 December 2013
Accepted: 18 February 2014
Melts of unconcatenated and unknotted polymer rings are a paradigm for soft matter ruled by topological interactions. We propose a description of a system of rings of length N as a collection of smaller polydisperse Gaussian loops, ranging from the entanglement length to the skeleton ring length , assembled in random trees. Individual rings in the melt are predicted to be marginally compact with a mean square radius of gyration . As a rule, simple power laws for asymptotically long rings come with sluggish crossovers. Experiments and computer simulations merely deal with crossover regimes typically extending to . The estimated crossover functions allow for a satisfactory fit of simulation data.
PACS: 83.80.Sg – Polymer melts / 82.35.Lr – Physical properties of polymers / 83.10.Rs – Computer simulation of molecular and particle dynamics
© EPLA, 2014