  Studies of multiphase fluids utilizing the lattice Boltzmann method (LBM) are
typically severely restricted by the number of components or chemical species
being modeled. This restriction is particularly pronounced for multiphase
systems exhibiting partial miscibility and significant interfacial mass
exchange, which is a common occurrence in realistic multiphase systems.
Modeling such systems becomes increasingly complex as the number of chemical
species increases due to the increased role of molecular interactions and the
types of thermodynamic behavior that become possible. The recently introduced
fugacity-based LBM [M. Soomro, L. F. Ayala, C. Peng, and O. M. Ayala, Phys.
Rev. E 107, 015304 (2023)] has provided a thermodynamically-consistent modeling
platform for multicomponent, partially-miscible LBM simulations. However, until
now, this fugacity-based LB model had lacked a comprehensive demonstration of
its ability to accurately reproduce thermodynamic behavior beyond binary
mixtures and to remove any restrictions in a number of components for
multiphase LBM. In this paper, we closely explore these fugacity-based LBM
capabilities by showcasing comprehensive, thermodynamically-consistent
simulations of multiphase mixtures of up to ten chemical components. The paper
begins by validating the model against the Young-Laplace equation for a droplet
composed of three components. The model is then applied to study mixtures with
a range of component numbers from one to six, showing agreement with rigorous
thermodynamic predictions and demonstrating linear scaling of computational
time with the number of components. We further investigate--which has been
previously absent in LB literature--ternary systems in detail, by exploring a
wide range of temperature, pressure, and overall composition conditions to
produce various characteristic ternary diagrams. [cont. in pdf]
