Stochastic phase segregation on surfaces
Phase separation and coarsening is a phenomenon commonly seen in binary physical and chemical systems that occur in nature. Often, thermal fluctuations, modelled as stochastic noise, are present in the system and the phase segregation process occurs on a surface. In this work, the segregation proces...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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The Royal Society
2017-01-01
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| Series: | Royal Society Open Science |
| Subjects: | |
| Online Access: | https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.170472 |
| _version_ | 1818347751415480320 |
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| author | Prerna Gera David Salac |
| author_facet | Prerna Gera David Salac |
| author_sort | Prerna Gera |
| collection | DOAJ |
| description | Phase separation and coarsening is a phenomenon commonly seen in binary physical and chemical systems that occur in nature. Often, thermal fluctuations, modelled as stochastic noise, are present in the system and the phase segregation process occurs on a surface. In this work, the segregation process is modelled via the Cahn–Hilliard–Cook model, which is a fourth-order parabolic stochastic system. Coarsening is analysed on two sample surfaces: a unit sphere and a dumbbell. On both surfaces, a statistical analysis of the growth rate is performed, and the influence of noise level and mobility is also investigated. For the spherical interface, it is also shown that a lognormal distribution fits the growth rate well. |
| first_indexed | 2024-12-13T17:39:08Z |
| format | Article |
| id | doaj.art-cbfa7f4bade64fd8a6e9cf7cb94dac22 |
| institution | Directory Open Access Journal |
| issn | 2054-5703 |
| language | English |
| last_indexed | 2024-12-13T17:39:08Z |
| publishDate | 2017-01-01 |
| publisher | The Royal Society |
| record_format | Article |
| series | Royal Society Open Science |
| spelling | doaj.art-cbfa7f4bade64fd8a6e9cf7cb94dac222022-12-21T23:36:50ZengThe Royal SocietyRoyal Society Open Science2054-57032017-01-014810.1098/rsos.170472170472Stochastic phase segregation on surfacesPrerna GeraDavid SalacPhase separation and coarsening is a phenomenon commonly seen in binary physical and chemical systems that occur in nature. Often, thermal fluctuations, modelled as stochastic noise, are present in the system and the phase segregation process occurs on a surface. In this work, the segregation process is modelled via the Cahn–Hilliard–Cook model, which is a fourth-order parabolic stochastic system. Coarsening is analysed on two sample surfaces: a unit sphere and a dumbbell. On both surfaces, a statistical analysis of the growth rate is performed, and the influence of noise level and mobility is also investigated. For the spherical interface, it is also shown that a lognormal distribution fits the growth rate well.https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.170472cahn–hilliardstochasticcurved surfacesphase fieldprobability distribution |
| spellingShingle | Prerna Gera David Salac Stochastic phase segregation on surfaces Royal Society Open Science cahn–hilliard stochastic curved surfaces phase field probability distribution |
| title | Stochastic phase segregation on surfaces |
| title_full | Stochastic phase segregation on surfaces |
| title_fullStr | Stochastic phase segregation on surfaces |
| title_full_unstemmed | Stochastic phase segregation on surfaces |
| title_short | Stochastic phase segregation on surfaces |
| title_sort | stochastic phase segregation on surfaces |
| topic | cahn–hilliard stochastic curved surfaces phase field probability distribution |
| url | https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.170472 |
| work_keys_str_mv | AT prernagera stochasticphasesegregationonsurfaces AT davidsalac stochasticphasesegregationonsurfaces |