| Autor: |
Lacher, R. C., Bryant, J. L., Howard, L. N. |
| Předmět: |
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| Zdroj: |
Journal of Chemical Physics; 11/15/1986, Vol. 85 Issue 10, p6147, 6p |
| Abstrakt: |
A constrained liquid region in a semicrystalline polymer has been modeled by random walk in the slab defined by two parallel planes a distance M units apart in space. Loops (walks beginning and ending on the same plane) play the role of strands of polymer that exit and reenter the same crystal while ties (walks that go from plane to opposite plane) play the role of strands that connect two crystals. A simulation has been designed to investigate the extent to which entanglement of loops may contribute to material properties. Results of the simulation indicate that several measures of entanglement (calculated from the matrix of linking numbers of a left loop with a complete distribution of right loops) approach positive constant values or increase without bound as M increases (while the effect of ties is known to be inversely proportional to M). A model of the simulation, in which random loops are replaced by loops with predictable geometry, yields asymptotic estimates of one such entanglement measure. The results from the simulation and the model agree within 10%. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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