Thermodynamic equilibrium of binary mixtures on curved surfaces
| Autor: | Melissa Rinaldin, Luca Giomi, Piermarco Fonda, Daniela J. Kraft |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Binodal
Physics Conservation law Work (thermodynamics) Thermodynamic equilibrium Energy landscape FOS: Physical sciences Condensed Matter - Soft Condensed Matter Curvature 01 natural sciences 010305 fluids & plasmas 0103 physical sciences Soft Condensed Matter (cond-mat.soft) Ising model Statistical physics 010306 general physics Phase diagram |
| Zdroj: | Physical Review E, 100(3), 032604 |
| ISSN: | 2470-0053 |
| Popis: | We study the global influence of curvature on the free energy landscape of two-dimensional binary mixtures confined on closed surfaces. Starting from a generic effective free energy, constructed on the basis of symmetry considerations and conservation laws, we identify several model-independent phenomena, such as a curvature-dependent line tension and local shifts in the binodal concentrations. To shed light on the origin of the phenomenological parameters appearing in the effective free energy, we further construct a lattice-gas model of binary mixtures on non-trivial substrates, based on the curved-space generalization of the two-dimensional Ising model. This allows us to decompose the interaction between the local concentration of the mixture and the substrate curvature into four distinct contributions, as a result of which the phase diagram splits into critical sub-diagrams. The resulting free energy landscape can admit, as stable equilibria, strongly inhomogeneous mixed phases, which we refer to as antimixed states below the critical temperature. We corroborate our semi-analytical findings with phase-field numerical simulations on realistic curved lattices. Despite this work being primarily motivated by recent experimental observations of multi-component lipid vesicles supported by colloidal scaffolds, our results are applicable to any binary mixture confined on closed surfaces of arbitrary geometry. Comment: 20 Pages, 7 Figures; comments and references added, typos corrected |
| Databáze: | OpenAIRE |
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