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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.16459 |
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| _version_ | 1866910466950823936 |
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| author | Cirillo, Emilio N. M. Lyons, Rainey Muntean, Adrian Muntean, Stela Andrea |
| author_facet | Cirillo, Emilio N. M. Lyons, Rainey Muntean, Adrian Muntean, Stela Andrea |
| contents | Inspired by experimental evidence collected when processing thin films from ternary solutions made of two solutes, typically polymers, and one solvent, we computationally study the morphology formation of domains obtained in three-state systems using both a lattice model and a continuum counterpart. The lattice-based approach relies on the Blume-Capel nearest neighbor model with bulk conservative Kawasaki dynamics, whereas as continuum system we consider a coupled system of evolution equations that is derived as hydrodynamic limit when replacing the nearest neighbor interaction in the lattice case by a suitable Kac potential. We explore how the obtained morphology depends on the solvent content in the mixture. In particular, we study how these scenarios change when the solvent is allowed to evaporate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_16459 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pattern formation in three-state systems: Towards understanding morphology formation in the presence of evaporation Cirillo, Emilio N. M. Lyons, Rainey Muntean, Adrian Muntean, Stela Andrea Statistical Mechanics Mathematical Physics Inspired by experimental evidence collected when processing thin films from ternary solutions made of two solutes, typically polymers, and one solvent, we computationally study the morphology formation of domains obtained in three-state systems using both a lattice model and a continuum counterpart. The lattice-based approach relies on the Blume-Capel nearest neighbor model with bulk conservative Kawasaki dynamics, whereas as continuum system we consider a coupled system of evolution equations that is derived as hydrodynamic limit when replacing the nearest neighbor interaction in the lattice case by a suitable Kac potential. We explore how the obtained morphology depends on the solvent content in the mixture. In particular, we study how these scenarios change when the solvent is allowed to evaporate. |
| title | Pattern formation in three-state systems: Towards understanding morphology formation in the presence of evaporation |
| topic | Statistical Mechanics Mathematical Physics |
| url | https://arxiv.org/abs/2405.16459 |