Sharp fronts in attracting-adatom monolayers
The problem of pattern formation by adsorbates undergoing attractive lateral interactions, is described by a parabolic integrodiffer- ential equation having the scaled inverse temperature ε and the scaled pressure α of the vapor phase as parameters. A coexistence region of high- and low-coverage sta...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/8232 |
| Acceso en línea: | http://hdl.handle.net/11336/8232 |
| Access Level: | acceso abierto |
| Palabra clave: | Non Equilibrium Potential Adsorption Pattern Formation https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| Sumario: | The problem of pattern formation by adsorbates undergoing attractive lateral interactions, is described by a parabolic integrodiffer- ential equation having the scaled inverse temperature ε and the scaled pressure α of the vapor phase as parameters. A coexistence region of high- and low-coverage stable homogeneous states has been reported in the (ε, α) plane. In the small interaction-range limit an effectve dif- fusion coefficient can be defined, which becomes however negative for a coverage range in between the stable homogeneous ones. A novel free-energy-like Lyapunov functional is found here for this prob- lem. When evaluated on the homogeneous states, it leads to a Maxwell- like construction which selects essentially the same value α(ε) as the originally posited zero front-velocity condition. Moreover, its value on static fronts at this particular α(ε) coincides with those of the homo- geneous states. This article is dedicated to Prof. Helmut Brand with occasion of his 60th birthday. |
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