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By means of Monte Carlo simulations, we investigated the nucleation of polymers in frustrated spaces, i.e. in spaces where one dimension is much smaller (or larger) than other (or others). The obtained results were compared with those predicted by the Avrami equation. In the case of the spontaneous nucleation, we found similarities with respect to the ordinary crystallization case, but the Avrami index has smaller values. For instantaneous nucleation conditions, we observed to have two distinctive regimes: 3- dimensional crystallization at the beginning of the process, followed by a behavior which is similar with the one that occur in spaces with low dimensionalities. [ABSTRACT FROM AUTHOR]

In this paper, we investigate the process of phase transformation in polymeric materials by imposing instantaneous nucleation conditions in the employed Monte Carlo type simulations. We calculated the overall crystallization rate constants and the Avrami indices for various simulation circumstances and the obtained results were equivalent with those predicted by the Avrami equation. The dependence of the crystallization rate constant on the growth velocity and concentration of the nuclei was also investigated and a comparison was made with the already existing theory. [ABSTRACT FROM AUTHOR]

Using Monte Carlo simulations, we investigated the sporadic nucleation of polymers and the results were compared with those obtained from the Avrami equation. From the simulation data, we calculated the overall crystallization rate constants and the Avrami indices. We considered isotropic growth of the nuclei in 1,2 and 3 dimension, the obtained results for the Avrami indices being in excellent agreement with theory and experiments. We also investigated the dependence of the overall crystallization rate constant on the crystallization velocity. [ABSTRACT FROM AUTHOR]

We report a Monte Carlo simulation based on the Lebwohl-Lasher model for characterizing the molecular director configuration in a nematic liquid crystal having a spherocylindrical particle immersed inside. We describe the molecular orientation and spatial behavior of the order parameter and we retrieve the presence of a disclination line with the shape of the Saturn ring defect. By applying an electric field, the order inside the simulation cell is considerably changed and we find that the plane of the disclination line is moved perpendicular to the field direction. As the intensity of the field is increaseed the disclination line eventually disappears, the order inside the cell becoming uniaxial. [ABSTRACT FROM AUTHOR]

By using Monte Carlo simulation we study the effect of an electric field on a negative dielectric anisotropy nematic liquid crystal presenting a spherocylindrical shaped particle located inside. We characterize the orientation of the nematic molecules inside the simulation box by means of the scalar and tensorial order parameter, field order parameter and radial order parameter, We also analyze how the system develops a Saturn ring type disclination line having the plane parallel with the direction of the applied electric field [ABSTRACT FROM AUTHOR]