A phase field approach for direct calculation of interfacial free energy of solid-gas and solid-liquid interfaces in Lennard-Jones systems
DOI10.3934/DCDSS.2023144zbMath1529.82016OpenAlexW4385466616MaRDI QIDQ6089455
Publication date: 17 November 2023
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2023144
anisotropysolid-liquid interfaceLennard-Jones systemsphase-field modellinginterfacial free energysolid-gas interface
Integro-ordinary differential equations (45J05) Statistical mechanics of solids (82D20) Statistical mechanics of liquids (82D15) PDEs in connection with statistical mechanics (35Q82)
Cites Work
- Anisotropic phase field equations of arbitrary order
- Interface conditions for a phase field model with anisotropic and non-local interactions
- An analysis of a phase field model of a free boundary
- The role of microscopic anisotropy in the macroscopic behavior of a phase boundary
- Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
- Modeling and numerical simulations of dendritic crystal growth
- Stefan and Hele-Shaw type models as asymptotic limits of the phase-field equations
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