The structural properties and interfacial tension of a fluid of rodlike hard-spherocylinder particles in contact with hard structureless flat walls are studied by means of Monte Carlo simulation. The calculated surface tension between the rod fluid and the substrate is characterized by a nonmonotonic trend as a function of the bulk concentration (density) over the range of isotropic bulk concentrations. As suggested by earlier theoretical studies, a surface-ordering scenario is confirmed by our simulations: the local orientational order close to the wall changes from uniaxial to biaxial nematic when the bulk concentration reaches about 85% of the value at the onset of the isotropic-nematic phase transition. The surface ordering coincides with a wetting transition whereby the hard wall is wetted by a nematic film. Accurate values of the fluid-solid surface tension, the adsorption, and the average particle-wall contact distance are reported (over a broad range of densities into the dense nematic region for the first time), which can serve as a useful benchmark for future theoretical and experimental studies on confined rod fluids. The simulation data are supplemented with predictions from second-virial density functional theory, which are in good qualitative agreement with the simulation results.
In this paper, equilibrium properties of structure II hydrates of hydrogen were determined from Monte Carlo simulations in the isothermal-isobaric Gibbs ensemble. Water and hydrogen molecules are described by the TIP4P/Ice and Silvera-Goldman models, respectively. The use of the Gibbs ensemble has many key advantages for the simulation of hydrates. By the separation of hydrogen vapor and hydrate phases into their own domains, coupled with transfer moves of hydrogen molecules between domains, cage occupancies were determined. Furthermore, the choice of this ensemble also allows equilibrium lattice constants and guest molecule chemical potentials to be straightforwardly estimated. Results for hydrogen mass fractions indicate reasonable agreement with prior simulation data and theoretical models, while detailed analysis of cage occupancy distributions and neighboring cage pair occupancy combinations gives valuable insight into the behavior of this hydrate at the inter-cage scale. These results will aid in the construction of theoretical models, for which knowledge of the occupancy of neighboring cages is of great importance. In support of previous experimental and theoretical works, we also find evidence of double occupancy of a few small cages inside of the hydrate stability zone, albeit at very high pressures; approximately 0.1% of small cages are doubly occupied at 300 MPa, for temperatures of 225 K and 250 K.
The nucleation process of anisotropic particles often differs from that of their spherically symmetric counterparts. Despite a large body of work on the structure of droplets of anisotropic particles, their formation process remains poorly understood. In this study, homogeneous nucleation of uniaxial anisotropic particles was studied. Through structural analysis of cluster development and the formation free energy during the nucleation stage, it was revealed that the nucleation of uniaxial particles begins from highly ordered states. There is, however, a marked decrease in orientational order within the cluster before critical nucleus size is attained. Further investigation on variations in the molecular interactions demonstrates how droplet elongation and the direction of the nematic ordering director relative to the axis of elongation can both be controlled according to the nature of the molecular anisotropy.
In this work, the advantages of applying the temperature and pressure replica-exchange method to investigate the phase transitions and the hysteresis for liquid-crystal fluids were demonstrated. In applying this method to the commonly used Hess–Su liquid-crystal model, heat capacity peaks and points of phase co-existence were observed. The absence of a smectic phase at higher densities and a narrow range of the nematic phase were reported. The identity of the crystalline phase of this system was found to a hexagonal close-packed solid. Since the nematic-solid phase transition is strongly first order, care must be taken when using this model not to inadvertently simulate meta-stable nematic states at higher densities. In further analysis, the Weighted Histogram Analysis Method was applied to verify the precise locations of the phase transition points.
We have incorporated Evolution Strategies into the Replica-Exchange Monte Carlo simulation method to predict the phase behavior of several example fluids. The replica-exchange method allows one system to exchange temperatures with its neighbors to search for the most stable structure relatively efficiently in a single simulation. However, if the temperature intervals of the replicas are not positioned carefully, there is an issue that local exchange does not occur. Our results for a simple Lennard-Jones fluid and the liquid-crystal Yukawa model demonstrate the utility of the approach when compared to conventional methods. When Evolution Strategies were applied to the Replica-Exchange Monte Carlo simulation, the problem of a significant localized decrease in exchange probability near the phase transition was avoided. By obtaining the optimal temperature intervals, the system efficiently traverses a broader parameter space with a small number of replicas. This is equivalent to accelerating molecular simulations with limited computational resources and can be useful when attempting to predict the phase behavior of complex systems.
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