Triangular lattice models for pattern formation by core-shell particles with different shell thicknesses
| Autor: | Alina Ciach, Vera Grishina, Vyacheslav S. Vikhrenko |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
heat capacity
Monte Carlo method Shell (structure) треугольная решетка Pattern formation FOS: Physical sciences термодинамика частиц 02 engineering and technology Condensed Matter - Soft Condensed Matter теплоемкость 01 natural sciences поверхностное натяжение тонкие оболочки Phase (matter) 0103 physical sciences ordered structures General Materials Science Hexagonal lattice line tension 010306 general physics Canonical ensemble Physics chemical potential-concentration isotherms Condensed matter physics Diagram толстые оболочки 021001 nanoscience & nanotechnology Condensed Matter Physics hard-core soft-shell particles линейное натяжение частицы ядро-оболочка границы раздела фаз Compressibility Soft Condensed Matter (cond-mat.soft) твердые частицы модели треугольной решетки 0210 nano-technology |
| Zdroj: | Journal of Physics: Condensed Matter |
| ISSN: | 0034-4885 0295-5075 |
| DOI: | 10.48550/arxiv.2002.01166 |
| Popis: | Triangular lattice models for pattern formation by hard-core soft-shell particles at interfaces are introduced and studied in order to determine the effect of the shell thickness and structure. In model I, we consider particles with hard-cores covered by shells of cross-linked polymeric chains. In model II, such inner shell is covered by a much softer outer shell. In both models, the hard cores can occupy sites of the triangular lattice, and nearest-neighbor repulsion following from overlapping shells is assumed. The capillary force is represented by the second or the fifth neighbor attraction in model I or II, respectively. Ground states with fixed chemical potential μ or with fixed fraction of occupied sites c are thoroughly studied. For T > 0, the μ(c) isotherms, compressibility and specific heat are calculated by Monte Carlo simulations. In model II, 6 ordered periodic patterns occur in addition to 4 phases found in model I. These additional phases, however, are stable only at the phase coexistence lines at the (μ, T) diagram, which otherwise looks like the diagram of model I. In the canonical ensemble, these 6 phases and interfaces between them appear in model II for large intervals of c and the number of possible patterns is much larger than in model I. We calculated line tensions for different interfaces, and found that the favorable orientation of the interface corresponds to its smoothest shape in both models. |
| Databáze: | OpenAIRE |
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