The mechanism of thickness selection in the Sadler-Gilmer model of polymer crystallization
Recent work on the mechanism of polymer crystallization has led to a proposal for the mechanism of thickness selection which differs from those proposed by the surface nucleation theory of Lauritzen and Hoffman and the entropic barrier model of Sadler and Gilmer. This has motivated us to reexamine t...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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1999
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| _version_ | 1797058786661236736 |
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| author | Doye, J Frenkel, D |
| author_facet | Doye, J Frenkel, D |
| author_sort | Doye, J |
| collection | OXFORD |
| description | Recent work on the mechanism of polymer crystallization has led to a proposal for the mechanism of thickness selection which differs from those proposed by the surface nucleation theory of Lauritzen and Hoffman and the entropic barrier model of Sadler and Gilmer. This has motivated us to reexamine the model used by Sadler and Gilmer. We again find a fixed-point attractor which describes the dynamical convergence of the crystal thickness to a value just larger than the minimum stable thickness, lmin. This convergence arises from the combined effect of two constraints on the length of stems in a layer: it is unfavorable for a stem to be shorter than lmin and for a stem to overhang the edge of the previous layer. The relationship between this new mechanism and the explanation given by Sadler and Gilmer in terms of an entropic barrier is discussed. We also examine the behavior of the Sadler-Gilmer model when an energetic contribution from chain folds is included. © 1999 American Institute of Physics. |
| first_indexed | 2024-03-06T19:55:16Z |
| format | Journal article |
| id | oxford-uuid:255b6619-0cca-47aa-8fff-a06fbd5457f1 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:55:16Z |
| publishDate | 1999 |
| record_format | dspace |
| spelling | oxford-uuid:255b6619-0cca-47aa-8fff-a06fbd5457f12022-03-26T11:55:11ZThe mechanism of thickness selection in the Sadler-Gilmer model of polymer crystallizationJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:255b6619-0cca-47aa-8fff-a06fbd5457f1EnglishSymplectic Elements at Oxford1999Doye, JFrenkel, DRecent work on the mechanism of polymer crystallization has led to a proposal for the mechanism of thickness selection which differs from those proposed by the surface nucleation theory of Lauritzen and Hoffman and the entropic barrier model of Sadler and Gilmer. This has motivated us to reexamine the model used by Sadler and Gilmer. We again find a fixed-point attractor which describes the dynamical convergence of the crystal thickness to a value just larger than the minimum stable thickness, lmin. This convergence arises from the combined effect of two constraints on the length of stems in a layer: it is unfavorable for a stem to be shorter than lmin and for a stem to overhang the edge of the previous layer. The relationship between this new mechanism and the explanation given by Sadler and Gilmer in terms of an entropic barrier is discussed. We also examine the behavior of the Sadler-Gilmer model when an energetic contribution from chain folds is included. © 1999 American Institute of Physics. |
| spellingShingle | Doye, J Frenkel, D The mechanism of thickness selection in the Sadler-Gilmer model of polymer crystallization |
| title | The mechanism of thickness selection in the Sadler-Gilmer model of polymer crystallization |
| title_full | The mechanism of thickness selection in the Sadler-Gilmer model of polymer crystallization |
| title_fullStr | The mechanism of thickness selection in the Sadler-Gilmer model of polymer crystallization |
| title_full_unstemmed | The mechanism of thickness selection in the Sadler-Gilmer model of polymer crystallization |
| title_short | The mechanism of thickness selection in the Sadler-Gilmer model of polymer crystallization |
| title_sort | mechanism of thickness selection in the sadler gilmer model of polymer crystallization |
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