Chaos in resonant-tunneling superlattices

Spatiotemporal chaos is predicted to occur in n-doped semiconductor superlattices with sequential resonant tunneling as their main charge transport mechanism. Under dc voltage bias, undamped time-dependent oscillations of the current (due to the motion and recycling of electric field domain walls) have been observed in recent experiments. Chaos is the result of forcing this natural oscillation by means of an appropriate external microwave signal.

Simulació de vent en temps real per paisatges

La simulació de la realitat és un fenomen que va sorgir fa uns anys per tal de predir esdeveniments sense haver de malbaratar recursos. El problema inicial de la simulació va ser la necessitat de simplificar la realitat a causa de la manca de capacitat dels ordinadors de l’època. Amb aquest projecte volem ajudar, per exemple, a estudis científics sobre la difusió de la contaminació en grans nuclis a causa de l’efecte del vent, càlculs de trajectòries amb forces externes degudes al vent, o incorporar en el món de la multimèdia efectes realistes de vent. El principal objectiu d’aquest projecte és desenvolupar un sistema que permeti realitzar simulacions realistes de vent per un paisatge 2D, i estudiar com el vent és veu afectat per la geometria de l’escena. Un punt important, és que tot ha de ser en temps real. Per aconseguir-ho, utilitzarem tècniques basades en el mètode de Lattice-Boltzmann, el qual consisteix en una xarxa regular que representa el fluid en posicions discretes, i estudiar com flueix. Escollint els paràmetres correctes de la simulació, es pot demostrar que aquest mètode convergeix a les equacions continues de Navier-Stokes, les qual són les més importants per descriure el comportament macroscòpic d’un fluid. Per accelerar tots els càlculs, utilitzarem la capacitat i la potencia de les targes gràfiques, ajustarem l’algorisme per poder-lo utilitzar en paral•lel, tot tenint en compte les restriccions de les GPUs. També haurem de generar un sistema per poder llegir les escenes 2D sobre les que realitzarem la simulació. Finalment, haurem de “pintar” el vent per tal de poder visualitzar el resultat de la simulació

Dynamics of driven three-dimensional thin films: from hdrophilic to superhydrophobic substrates

We study the forced displacement of a thin film of fluid in contact with vertical and inclined substrates of different wetting properties, that range from hydrophilic to hydrophobic, using the lattice-Boltzmann method. We study the stability and pattern formation of the contact line in the hydrophilic and superhydrophobic regimes, which correspond to wedge-shaped and nose-shaped fronts, respectively. We find that contact lines are considerably more stable for hydrophilic substrates and small inclination angles. The qualitative behavior of the front in the linear regime remains independent of the wetting properties of the substrate as a single dispersion relation describes the stability of both wedges and noses. Nonlinear patterns show a clear dependence on wetting properties and substrate inclination angle. The effect is quantified in terms of the pattern growth rate, which vanishes for the sawtooth pattern and is finite for the finger pattern. Sawtooth shaped patterns are observed for hydrophilic substrates and low inclination angles, while finger-shaped patterns arise for hydrophobic substrates and large inclination angles. Finger dynamics show a transient in which neighboring fingers interact, followed by a steady state where each finger grows independently.

Dynamics of driven three-dimensional thin films: from hdrophilic to superhydrophobic substrates

We study the forced displacement of a thin film of fluid in contact with vertical and inclined substrates of different wetting properties, that range from hydrophilic to hydrophobic, using the lattice-Boltzmann method. We study the stability and pattern formation of the contact line in the hydrophilic and superhydrophobic regimes, which correspond to wedge-shaped and nose-shaped fronts, respectively. We find that contact lines are considerably more stable for hydrophilic substrates and small inclination angles. The qualitative behavior of the front in the linear regime remains independent of the wetting properties of the substrate as a single dispersion relation describes the stability of both wedges and noses. Nonlinear patterns show a clear dependence on wetting properties and substrate inclination angle. The effect is quantified in terms of the pattern growth rate, which vanishes for the sawtooth pattern and is finite for the finger pattern. Sawtooth shaped patterns are observed for hydrophilic substrates and low inclination angles, while finger-shaped patterns arise for hydrophobic substrates and large inclination angles. Finger dynamics show a transient in which neighboring fingers interact, followed by a steady state where each finger grows independently.

Self-accelerating dolomite-for-calcite replacement: Self-organized dynamics of burial dolomitization and associated mineralization

A new dynamic model of dolomitization predicts a multitude of textural, paragenetic, geochemical and other properties of burial dolomites. The model is based on two postulates, (1) that the dolomitizing brine is Mg-rich but under saturated with both calcite and dolomite, and (2) that the dolomite-for-calcite replacement happens not by dissolution-precipitation as usually assumed, but by dolomite-growth-driven pressure solution of the calcite host. Crucially, the dolomite-for-calcite replacement turns out to be self-accelerating via Ca2 : the Ca2 released by each replacement increment accelerates the rate of the next, and so on. As a result, both pore-fluid Ca2 and replacement rate grow exponentially.