Non UBC
DSpace
Panagiotou, Eleni
2014-08-07T01:53:10Z
2013-11-18
Periodic Boundary Conditions (PBC) are often used for the simulation of complex physical systems of open and closed curve models of polymers or vortex lines in a fluid flow. Using the Gauss linking number, we define the periodic linking number as a measure of entanglement for two oriented curves in a system employing PBC. In the case of closed curves in PBC, the periodic linking number is a topological invariant that depends on a finite number of components in the periodic system. For open curves, the periodic linking number depends upon the entire infinite system and we prove that it converges to a real number that varies continuously with the configuration. Finally, we define two cut-offs of the periodic linking number and we compare these measures when applied to a PBC model of polyethylene melts.
https://circle.library.ubc.ca/rest/handle/2429/49729?expand=metadata
24 minutes
video/mp4
Author affiliation: National Technical University of Athens
Banff (Alta.)
10.14288/1.0043778
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivs 2.5 Canada
http://creativecommons.org/licenses/by-nc-nd/2.5/ca/
Other
BIRS Workshop Lecture Videos (Banff, Alta)
Mathematics
Biology and other natural sciences
Manifolds and cell complexes
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Entanglement in systems of curves with Periodic Boundary Conditions
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http://hdl.handle.net/2429/49729