Structural and Thermodynamic Peculiarities of Core-Shell Particles at Fluid Interfaces from Triangular Lattice Models
A triangular lattice model for pattern formation by core-shell particles at fluid interfaces is introduced and studied for the particle to core diameter ratio equal to 3. Repulsion for overlapping shells and attraction at larger distances due to capillary forces are assumed. Ground states and thermo...
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MDPI AG
2020-10-01
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| Online Access: | https://www.mdpi.com/1099-4300/22/11/1215 |
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| author | Vera Grishina Vyacheslav Vikhrenko Alina Ciach |
| author_facet | Vera Grishina Vyacheslav Vikhrenko Alina Ciach |
| author_sort | Vera Grishina |
| collection | DOAJ |
| description | A triangular lattice model for pattern formation by core-shell particles at fluid interfaces is introduced and studied for the particle to core diameter ratio equal to 3. Repulsion for overlapping shells and attraction at larger distances due to capillary forces are assumed. Ground states and thermodynamic properties are determined analytically and by Monte Carlo simulations for soft outer- and stiffer inner shells, with different decay rates of the interparticle repulsion. We find that thermodynamic properties are qualitatively the same for slow and for fast decay of the repulsive potential, but the ordered phases are stable for temperature ranges, depending strongly on the shape of the repulsive potential. More importantly, there are two types of patterns formed for fixed chemical potential—one for a slow and another one for a fast decay of the repulsion at small distances. In the first case, two different patterns—for example clusters or stripes—occur with the same probability for some range of the chemical potential. For a fixed concentration, an interface is formed between two ordered phases with the closest concentration, and the surface tension takes the same value for all stable interfaces. In the case of degeneracy, a stable interface cannot be formed for one out of four combinations of the coexisting phases, because of a larger surface tension. Our results show that by tuning the architecture of a thick polymeric shell, many different patterns can be obtained for a sufficiently low temperature. |
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| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T15:20:00Z |
| publishDate | 2020-10-01 |
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| spelling | doaj.art-b2666e9da22242d9adc56c82846b06782023-11-20T18:37:20ZengMDPI AGEntropy1099-43002020-10-012211121510.3390/e22111215Structural and Thermodynamic Peculiarities of Core-Shell Particles at Fluid Interfaces from Triangular Lattice ModelsVera Grishina0Vyacheslav Vikhrenko1Alina Ciach2Department of Mechanics and Engineering, Belarusian State Technological University, 13a Sverdlova Str., 220006 Minsk, BelarusDepartment of Mechanics and Engineering, Belarusian State Technological University, 13a Sverdlova Str., 220006 Minsk, BelarusInstitute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warszawa, PolandA triangular lattice model for pattern formation by core-shell particles at fluid interfaces is introduced and studied for the particle to core diameter ratio equal to 3. Repulsion for overlapping shells and attraction at larger distances due to capillary forces are assumed. Ground states and thermodynamic properties are determined analytically and by Monte Carlo simulations for soft outer- and stiffer inner shells, with different decay rates of the interparticle repulsion. We find that thermodynamic properties are qualitatively the same for slow and for fast decay of the repulsive potential, but the ordered phases are stable for temperature ranges, depending strongly on the shape of the repulsive potential. More importantly, there are two types of patterns formed for fixed chemical potential—one for a slow and another one for a fast decay of the repulsion at small distances. In the first case, two different patterns—for example clusters or stripes—occur with the same probability for some range of the chemical potential. For a fixed concentration, an interface is formed between two ordered phases with the closest concentration, and the surface tension takes the same value for all stable interfaces. In the case of degeneracy, a stable interface cannot be formed for one out of four combinations of the coexisting phases, because of a larger surface tension. Our results show that by tuning the architecture of a thick polymeric shell, many different patterns can be obtained for a sufficiently low temperature.https://www.mdpi.com/1099-4300/22/11/1215core-shell particlesliquid interfacestriangular latticethermodynamicsground statesstructure |
| spellingShingle | Vera Grishina Vyacheslav Vikhrenko Alina Ciach Structural and Thermodynamic Peculiarities of Core-Shell Particles at Fluid Interfaces from Triangular Lattice Models Entropy core-shell particles liquid interfaces triangular lattice thermodynamics ground states structure |
| title | Structural and Thermodynamic Peculiarities of Core-Shell Particles at Fluid Interfaces from Triangular Lattice Models |
| title_full | Structural and Thermodynamic Peculiarities of Core-Shell Particles at Fluid Interfaces from Triangular Lattice Models |
| title_fullStr | Structural and Thermodynamic Peculiarities of Core-Shell Particles at Fluid Interfaces from Triangular Lattice Models |
| title_full_unstemmed | Structural and Thermodynamic Peculiarities of Core-Shell Particles at Fluid Interfaces from Triangular Lattice Models |
| title_short | Structural and Thermodynamic Peculiarities of Core-Shell Particles at Fluid Interfaces from Triangular Lattice Models |
| title_sort | structural and thermodynamic peculiarities of core shell particles at fluid interfaces from triangular lattice models |
| topic | core-shell particles liquid interfaces triangular lattice thermodynamics ground states structure |
| url | https://www.mdpi.com/1099-4300/22/11/1215 |
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