Simulations on the number of entanglements of a polymer network using knot theory

Michalke, W. and Lang, M. and Kreitmeier, Stefan and Goeritz, D. (2001) Simulations on the number of entanglements of a polymer network using knot theory. PHYSICAL REVIEW E, 64 (1): 012801. ISSN 1539-3755, 1550-2376

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Abstract

Polymer networks, created on the computer using the Bond-Fluctuation-Algorithm, offer the possibility to count the number of entanglements. We generated networks consisting of 5000 chains that were cross linked at their end groups via tetra-functional cross linkers. The analysis of the topology was performed by computing the Homfly polynomial of the entanglements offering a much more precise determination of the knot and entanglement type than the Gaussian linking number. It also allows us to determine the influence of Brunnian links. Results concerning the connection between the chain length and the number of entanglements are shown.

Item Type: Article
Uncontrolled Keywords: LATTICE POLYGONS; MODEL; POLYNOMIALS; DIMENSIONS; ALGORITHM; DYNAMICS; DNA;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Experimental and Applied Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 17 Jan 2022 06:57
Last Modified: 17 Jan 2022 06:57
URI: https://pred.uni-regensburg.de/id/eprint/41319

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