A Study of the Entanglement in Systems with Periodic Boundary Conditions(Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins)
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概要
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We define the local periodic linking number, LK, between two oriented closed or open chains in a system with three-dimensional periodic boundary conditions. The properties of LK indicate that it is an appropriate measure of entanglement between a collection of chains in a periodic system. Using this measure of linking to assess the extent of entanglement in a polymer melt we study the effect of CReTA algorithm on the entanglement of polyethylene chains. Our numerical results show that the statistics of the local periodic linking number observed for polymer melts before and after the application of CReTA are the same.
- 2011-12-16
著者
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Lambropoulou Sofia
Department Of Mathematics National Technical University
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PANAGIOTOU Eleni
Department of Mathematics, National Technical University, Athens
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TZOUMANEKAS Christos
Department of Materials Science and Engineering, School of Chemical Engineering, National Technical
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MILLETT Kenneth
Department of Mathematics, University of California
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THEODOROU Doros
Department of Materials Science and Engineering, School of Chemical Engineering, National Technical
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Theodorou Doros
Department Of Materials Science And Engineering School Of Chemical Engineering National Technical Un
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Tzoumanekas Christos
Department Of Materials Science And Engineering School Of Chemical Engineering National Technical Un
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Millett Kenneth
Department Of Mathematics University Of California
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Panagiotou Eleni
Department Of Mathematics National Technical University Athens
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MILLETT Kenneth
Department of Mathematics, University of California, Sanra Barbara
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TZOUMANEKAS Christos
Department of Materials Science and Engineering, School of Chemical Engineering, National Technical University, Athens
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THEODOROU Doros
Department of Materials Science and Engineering, School of Chemical Engineering, National Technical University, Athens
関連論文
- A Study of the Entanglement in Systems with Periodic Boundary Conditions(Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins)
- Cumulative Shapes of Knotted Polymers(Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins)
- The Length Scale of 3-Space Knots, Ephemeral Knots, and Slipknots in Random Walks(Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins)