The influence of encounters on domain coarsening
We review recent progress on the derivation and analysis of higher order corrections to the classical mean-field theory of Lifshitz, Slyozov, and Wagner for domain coarsening. Most research on this subject in the applied literature has focussed on the effect of screening induced fluctuations, howeve...
| Main Author: | |
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| Format: | Journal article |
| Language: | English |
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2010
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| _version_ | 1797060333401014272 |
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| author | Niethammer, B |
| author_facet | Niethammer, B |
| author_sort | Niethammer, B |
| collection | OXFORD |
| description | We review recent progress on the derivation and analysis of higher order corrections to the classical mean-field theory of Lifshitz, Slyozov, and Wagner for domain coarsening. Most research on this subject in the applied literature has focussed on the effect of screening induced fluctuations, however some of the resulting models lack self-consistency. We discuss here recent work in which a self-consistent model for fluctuations is derived and compare it to a model that has first been suggested in the original paper by Lifshitz and Slyozov. This model takes the effect of encounters between domains into account, but has seemingly gone unnoticed in the literature. Contrary to common expectations self-similar solutions of this model predict a much larger coarsening rate than the models accounting for fluctuations. © 2010 WILEY-VCH Verlag GmbH and Co. KGaA, Weinheim. |
| first_indexed | 2024-03-06T20:15:40Z |
| format | Journal article |
| id | oxford-uuid:2c126154-4071-4e53-ada7-c290b6f51860 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:15:40Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oxford-uuid:2c126154-4071-4e53-ada7-c290b6f518602022-03-26T12:34:40ZThe influence of encounters on domain coarseningJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2c126154-4071-4e53-ada7-c290b6f51860EnglishSymplectic Elements at Oxford2010Niethammer, BWe review recent progress on the derivation and analysis of higher order corrections to the classical mean-field theory of Lifshitz, Slyozov, and Wagner for domain coarsening. Most research on this subject in the applied literature has focussed on the effect of screening induced fluctuations, however some of the resulting models lack self-consistency. We discuss here recent work in which a self-consistent model for fluctuations is derived and compare it to a model that has first been suggested in the original paper by Lifshitz and Slyozov. This model takes the effect of encounters between domains into account, but has seemingly gone unnoticed in the literature. Contrary to common expectations self-similar solutions of this model predict a much larger coarsening rate than the models accounting for fluctuations. © 2010 WILEY-VCH Verlag GmbH and Co. KGaA, Weinheim. |
| spellingShingle | Niethammer, B The influence of encounters on domain coarsening |
| title | The influence of encounters on domain coarsening |
| title_full | The influence of encounters on domain coarsening |
| title_fullStr | The influence of encounters on domain coarsening |
| title_full_unstemmed | The influence of encounters on domain coarsening |
| title_short | The influence of encounters on domain coarsening |
| title_sort | influence of encounters on domain coarsening |
| work_keys_str_mv | AT niethammerb theinfluenceofencountersondomaincoarsening AT niethammerb influenceofencountersondomaincoarsening |