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Fibers of bent-core liquid crystals present an internal structure of a rolled smectic layer and can be used as optical waveguides. We used a field-theoretical Monte Carlo simulation to analyze the internal configuration of such fibers as a function of the radial coordinate and to study their equilibrium sates. In contrast to previous studies, we analyzed the fully nonlinear model proposed in [Bailey et al., Phys. Rev. E, 2007, 75, 031701] and revised in [P\'erez-Ortiz et al., Phys. Rev. E, 2011, 84, 011701]. We found that, due to the non-differentiable character of such model, the Euler-Lagrange equations are not able to find all equilibrium states. Our Monte Carlo procedure identified both differentiable and non-differentiable equilibria and first order transitions between them. In all cases, the equilibrium states show inhomogenous configurations that display a boundary layer. This methodology can by applied to other models of liquid crystals that have more degrees of freedom, including those with non-differentiable minima. The equilibrium structures found can be used as inputs to model the transmission of light along the liquid crystal fibers., Comment: Second version. 12 pages, 7 figures in PDF format. Added references to typical values of spontaneous polarization of LC phases of fully organic and metallorganic bent-core mesogens

In this work, an analytical Volume Of Fluid (VOF) implementation of the Generalized Navier Boundary Condition is presented based on the Brackbill surface tension model. The model is validated by simulations of droplets on a smooth surface in a planar geometry. Looking at the static behavior of the droplets, it is found that there is a good match between the droplet shape resolved in the simulations and the theoretically predicted shape for various values of the Young's angle. Evaluating the spreading of a droplet on a completely wetting surface, the Voinov-Tanner-Cox law ($\theta \propto \text{Ca}^{1/3}$) can be observed. At later times scaling follows $r \propto t^{1/2}$, suggesting spreading is limited by inertia. These observations are made without any fitting parameters except the slip length.

At atmospheric pressure, a drop of ethanol impacting on a solid surface produces a splash. Reducing the ambient pressure below its atmospheric value suppresses this splash. The origin of this so-called pressure effect is not well understood and this is the first study to present an in-depth comparison between various theoretical models that aim to predict splashing and simulations. In this work the pressure effect is explored numerically by resolving the Navier-Stokes equations at a 3-nm resolution. In addition to reproducing numerous experimental observations, it is found that different models all provide elements of what is observed in the simulations. The skating droplet model correctly predicts the existence and scaling of a gas film under the droplet, the lamella formation theory is able to correctly predict the scaling of the lamella ejection velocity as function of the impact velocity for liquids with different viscosity, and lastly, the dewetting theory's hypothesis of a lift force acting on the liquid sheet after ejection is consistent with our results.