Diffusion in spatially and temporarily inhomogeneous media: Effects of turbulent mixing

We consider diffusion of a passive substance C in a phase-separating nonmiscible binary alloy under turbulent mixing. The substance is assumed to have different diffusion coefficients in the pure phases A and B, leading to a spatially and temporarily dependent diffusion ¿coefficient¿ in the diffusion equation plus convective term. In this paper we consider especially the effects of a turbulent flow field coupled to both the Cahn-Hilliard type evolution equation of the medium and the diffusion equation (both, therefore, supplemented by a convective term). It is shown that the formerly observed prolonged anomalous diffusion [H. Lehr, F. Sagués, and J.M. Sancho, Phys. Rev. E 54, 5028 (1996)] is no longer seen if a flow of sufficient intensity is supplied.

Diffusion in spatially and temporarily inhomogeneous media

In this paper we consider diffusion of a passive substance C in a temporarily and spatially inhomogeneous two-dimensional medium. As a realization for the latter we choose a phase-separating medium consisting of two substances A and B, whose dynamics is determined by the Cahn-Hilliard equation. Assuming different diffusion coefficients of C in A and B, we find that the variance of the distribution function of the said substance grows less than linearly in time. We derive a simple identity for the variance using a probabilistic ansatz and are then able to identify the interface between A and B as the main cause for this nonlinear dependence. We argue that, finally, for very large times the here temporarily dependent diffusion "constant" goes like t-1/3 to a constant asymptotic value D¿. The latter is calculated approximately by employing the effective-medium approximation and by fitting the simulation data to the said time dependence.

Front propagation in spatially modulated media

A two-dimensional reaction-diffusion front which propagates in a modulated medium is studied. The modulation consists of a spatial variation of the local front velocity in the transverse direction to that of the front propagation. We study analytically and numerically the final steady-state velocity and shape of the front, resulting from a nontrivial interplay between the local curvature effects and the global competition process between different maxima of the control parameter. The transient dynamics of the process is also studied numerically and analytically by means of singular perturbation techniques.

Wave competition in excitable modulated media.

The propagation of an initially planar front is studied within the framework of the photosensitive Belousov-Zhabotinsky reaction modulated by a smooth spatial variation of the local front velocity in the direction perpendicular to front propagation. Under this modulation, the wave front develops several fingers corresponding to the local maxima of the modulation function. After a transient, the wave front achieves a stationary shape that does not necessarily coincide with the one externally imposed by the modulation. Theoretical predictions for the selection criteria of fingers and steady-state velocity are experimentally validated.

Noise-enhanced excitability in bistable activator-inhibitor media

We show that external fluctuations induce excitable behavior in a bistable spatially extended system with activator-inhibitor dynamics of the FitzHugh-Nagumo type. This can be understood as a mechanism for sustained signal propagation in bistable media. The phase diagram of the stochastic system is analytically obtained and numerically verified. For small-noise intensities, front propagation becomes unstable, and excitable pulses arise as the only possible spatiotemporal behavior of the system. For large-noise intensities, on the other hand, the system enters an effective regime of oscillatory behavior, where it exhibits spontaneous nucleation of pulses and synchronized firing.

Percolation thresholds in chemical disordered excitable media

The behavior of chemical waves advancing through a disordered excitable medium is investigated in terms of percolation theory and autowave properties in the framework of the light-sensitive Belousov-Zhabotinsky reaction. By controlling the number of sites with a given illumination, different percolation thresholds for propagation are observed, which depend on the relative wave transmittances of the two-state medium considered.

Expanding scroll rings and negative tension turbulence in a model of excitable media

Scroll waves in excitable media, described by the Barkley model, are studied. In the parameter region of weak excitability, negative tension of wave filaments is found. It leads to expansion of scroll rings and instability of wave filaments. A circular filament tends to stretch, bend, loop, and produce an expanding tangle that fills up the volume. The filament does not undergo fragmentation before it touches the boundaries. Statistical properties of such Winfree turbulence of scroll waves are numerically investigated.

Periodic forcing of scroll rings and control of Winfree turbulence in excitable media

By simulations of the Barkley model, action of uniform periodic nonresonant forcing on scroll rings and wave turbulence in three-dimensional excitable media is investigated. Sufficiently strong rapid forcing converts expanding scroll rings into the collapsing ones and suppresses the Winfree turbulence caused by the negative tension of wave filaments. Slow strong forcing has an opposite effect, leading to expansion of scroll rings and induction of the turbulence. These effects are explained in the framework of the phenomenological kinematic theory of scroll waves.

Front dynamics in turbulent media

A study of a stable front propagating in a turbulent medium is presented. The front is generated through a reaction-diffusion equation, and the turbulent medium is statistically modeled using a Langevin equation. Numerical simulations indicate the presence of two different dynamical regimes. These regimes appear when the turbulent flow either wrinkles a still rather sharp propagating interfase or broadens it. Specific dependences of the propagating velocities on stirring intensities appropriate to each case are found and fitted when possible according to theoretically predicted laws. Different turbulent spectra are considered.

Regular wave propagation out of noise in chemical active media

A pacemaker, regularly emitting chemical waves, is created out of noise when an excitable photosensitive Belousov-Zhabotinsky medium, strictly unable to autonomously initiate autowaves, is forced with a spatiotemporal patterned random illumination. These experimental observations are also reproduced numerically by using a set of reaction-diffusion equations for an activator-inhibitor model, and further analytically interpreted in terms of genuine coupling effects arising from parametric fluctuations. Within the same framework we also address situations of noise-sustained propagation in subexcitable media.

De la Analítica al Social Media Intelligence : Una nueva oportunidad de liderar el mercado mediante una importante ventaja competitiva : saber identificar las necesidades del cliente en el Social Media : La reinvención de las investigaciones de mercado

La revolución que significó Internet a finales del siglo XX supone una oportunidad inmensa para el mundo corporativo. Con la aparición del Social Media y, en concreto, de las redes sociales, se han abierto un sinfín de nuevas oportunidades.No existe ningún otro invento que haya penetrado con tanta facilidad como lo han hecho estas plataformas; es el momento de que las empresas saquen provecho de ello.El objetivo principal de este proyecto consiste en identificar los beneficios potenciales para las empresas que conlleva actuar a través del Social Media. No contentos con eso, nos disponemos a mostrar las grandes razones por las que actuar: la posibilidad deidentificar las necesidades de tu público objetivo, huecos en el mercado y, por consiguiente, conseguir una ventaja competitiva clave en tu sector. ¿Cómo? La clave está en saber gestionar grandes volúmenes de información aplicando soluciones de inteligencia competitiva.Teniendo en cuenta que el proyecto gira entorno al Social Media, la estructura del mismo está dividida en dos grandes partes: en primer lugar estudiamos las claves de la investigación de mercados actual y, seguidamente, utilizamos una perspectiva más corporativa para mostrar las principales inquietudes que surgen en las empresas.Mediante ejemplos de casos prácticos muy relevantes, estudios que aporten datos clave y, sobre todo, las opiniones de profesionales del sector dentro y fuera de España, seremos capaces de deducir la importancia que tiene este terreno, así como el largo camino que nos queda a todos por delante.

La migració primaveral d'ocells als Aiguamolls de l'Empordà (Girona): primer anellament de Becadell Gros (Gallinago Media) a la Península Ibèrica

En aquest treball s'exposen els resultats obtinguts en la campanya 1994 d'anellament d'ocells inclosa dins del projecte italià Piccole Isole. Es demostra que el factor meteorològic afecta directament la fenologia migratòria de diferents espècies d'ocells. Es pretén també estudiar la influència dels diferents hàbitats en el nombre i en la diversitat de captures. Es recullen també en aquest treball les principals espècies visualitzades durant la campanya, com també l'elevat nombre de controls estrangers recuperats. Dintre de les captures i l'anellament posterior, destaca sobretot la d'un becadell gros (Gallinago media) fets per primera vegada a la peninsula Ibèrica

El desarrollo local en la ciudad media europea ante los proyectos de T.A.V.

La ciudad media o intermedia europea ha sido calificada de «OGNI» (Objeto Geográfico No Identificado) por la falta de teorizaciones propias. Esta afirmación es especialmente cierta en el campo del desarrollo local, en las particularidades que juegan en el proceso de aprovechamiento de los recursos locales para crear un desarrollo endógeno. Esta investigación pretende, en primer lugar, recoger las opiniones de varios autores e instituciones para definir las características cuantitativas y cualitativas de esta realidad urbana. En segundo lugar, se quiere contextualizar la ciudad media en el territorio europeo y en las políticas a esta escala. Finalmente, se describen tres ejemplos de desarrollo local en ciudades medias a partir de la implantación del Tren de Alta Velocidad para mostrar cuáles son los factores diferenciales del desarrollo local en este fenómeno urbano