To get a mole of a gas, it is necessary to calculate the intermolecular interaction. Theseintermolecular interactions can be depicted by drawing the potential energy of a pair molecule inrelation to the distance. The intermolecular potential energy surface in the mixtures of CH4-H2COgases from ab initio calculations has been explored. In ab initio calculations the basis setsuperposition error (...

We have studied the motion of a vortex-antivortex pair together with a single vortex in trapped Bose-Einstein condensate (BEC) by numerically solving the twodimensional Gross-Pitaevskii equation, and found that the path of the vortices depends on the initial separation distance and dissipation. This motion was periodic and it was found that sound waves appear due to the cyclical movement, whose...

The influence of an external strain (or shear) field on the evolution of two identical vortices is investigated in a twodimensional incompressible fluid. Using point vortex modeling, two regimes of the vortex doublet (co-rotation and irreversible separation) are determined; the critical intensity of the large scale flow separating these two regimes for a given initial separation of vortices, is...

Latin hypercube designs (LHDs) play an important role when approximating computer simulation models. To obtain good space-filling properties, the maximin criterion is frequently used. Unfortunately, constructing maximin LHDs can be quite time-consuming when the number of dimensions and design points increase. In these cases, we can use approximate maximin LHDs. In this paper, we construct bound...

We present a theoretical study of adhesion-induced lateral phase separation for a membrane with short stickers, long stickers, and repellers confined between two hard walls. The effects of confinement and repellers on lateral phase separation are investigated. We find that the critical potential depth of the stickers for lateral phase separation increases as the distance between the hard walls ...

Important optical properties of discrete pairs of DNA tethered gold nanoparticles, including their scattering cross-section and resonance wavelength, depend both on the dimer structure and the refractive index of their immediate environment. We show that far-field polarization microscopy aids the optical identification and interpretation of structural changes including hinge motions and nanosca...

casimir forces of massive ferrnionic dirac fields are calculated for parallel plates geometry in spatial space with dimension d and imposing bag model boundary conditions. it is shown that in the range of ma>>l where m is mass of fields quanta and a is the separation distance of the plates, it is equal to massive bosonic fields casimir force for each degree of freedom. we argue this equality ex...

We prove that a well-distributed subset of R 2 can have a separated distance set only if the distance is induced by a polygon. Basic definitions Separated sets. We say that S ⊂ R d is separated if there exists c separation > 0 such that ||x − y|| ≥ c separation for every x, y ∈ S, x = y. Here and throughout the paper, ||x|| = x 2 1 + · · · + x 2 d is the standard Euclidean distance. Well-distri...

Opposing polymer brush layers at high grafting density were examined under confinement and characterized with respect to structure and interaction forces using molecular dynamics simulations in an explicit solvent. The brush system underwent a static compression, where the system is simulated at several discrete separation distances. These simulations are all at the same solvent chemical potent...