Volume 105, Number 4, February 2014
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||11 March 2014|
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.