We investigate the effects of clay proportion and nanoscale dispersion in the dielectric response of poly(vinyl alcohol)-bentonite nanocomposites. The dielectric study was performed using the thermally stimulated depolarization current technique, covering the temperature range of the secondary and high-temperature relaxation processes. Important changes in the secondary relaxations are observed at low clay contents in comparison with neat poly(vinyl alcohol) (PVA). The high-temperature processes show a complex peak, which is a combination of the glass-rubber transition and the space-charge relaxations. The analysis of these processes shows the existence of two segmental relaxations for the nanocomposites. Dielectric results were complemented by calorimetric experiments using differential scanning calorimetry. Morphologic characterization was performed by x-ray diffraction (XRD) and transmission electron microscopy (TEM). TEM and XRD results show a mixture of intercalated and exfoliated clay dispersion in a trend that promotes the exfoliated phase as the bentonite content diminishes. Dielectric and morphological results indicate the existence of polymer-clay interactions through the formation of hydrogen bounds and promoted by the exfoliated dispersion of the clay. These interactions affect not only the segmental dynamics, but also the secondary local dynamics of PVA.

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We investigate a semiclassical dynamics driven by a high-frequency ω inhomogeneous field, plus a static arbitrary potential on a one-dimensional tight-binding lattice. We find -in the approach of Kapitza's pendulum -an effective, time independent potential that describes the average of the electronic motion to order ω −2 . This effective potential depends on the static external potential, on the lattice constant and on the applied high frequency field. Remarkably, we find that the dynamic correction of rapidly oscillating fields is formally identical to that associated to Kapitza's usual continuum result. Finally, applications are made to: the harmonic oscillator on the lattice, the Bloch oscillation effect and "dynamical localization" in arrays of optical waveguides (wherein an experimental prediction is made).

Two approaches of an automatic control were studied through mathematical fitting obtained from color mixing saturation curves in polydimethylsiloxane microfluidic devices: The integrative control with variable integral gain and integrative control with constant integral gain. The aim of this work is to control the color percentage decrement when dye is injected. The results indicate that microfluidic systems are very sensitive to changes in flow and the control variable needs to change slowly; that is, it must be small (at least 100 times less than the theoretically calculated values). The control and stabilization of the microfluidic system were achieved for dye percentages above 60%. The controlling color percentage could provide a tool to regulate other parameters’ concentration applied to cell culture and alkalinity control (pH) of solutions in microfluidic devices.