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.

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.

Reaction-diffusion fronts under stochastic advection

We study front propagation in stirred media using a simplified modelization of the turbulent flow. Computer simulations reveal the existence of the two limiting propagation modes observed in recent experiments with liquid phase isothermal reactions. These two modes respectively correspond to a wrinkled although sharp propagating interface and to a broadened one. Specific laws relative to the enhancement of the front velocity in each regime are confirmed by our simulations.

Factor shares, the price markup, and the elasticity of substitution between capital and labor

[spa] La participación del trabajo en la renta nacional es constante bajo los supuestos de una función de producción Cobb-Douglas y competencia perfecta. En este artículo se relajan estos supuestos y se investiga si el comportamiento no constante de la participación del trabajo en la renta nacional se explica por (i) una elasticidad de sustitución entre capital y trabajo no unitaria y (ii) competencia no perfecta en el mercado de producto. Nos centramos en España y los U.S. y estimamos una función de producción con elasticidad de sustitución constante y competencia imperfecta en el mercado de producto. El grado de competencia imperfecta se mide a través del cálculo del price markup basado en laaproximación dual. Mostramos que la elasticidad de sustitución es mayor que uno en España y menor que uno en los US. También mostramos que el price markup aleja la elasticidad de sustitución de uno, lo aumenta en España, lo reduce en los U.S. Estos resultados se utilizan para explicar la senda decreciente de la participación del trabajo en la renta nacional, común a ambas economías, y sus contrastadas sendas de capital.

Poesia epica e letteratura femminile nell'Italia del XVII secolo: "L'Enrico, ovvero Bisanzio acquistato" (1635) di Lucrezia Marinelli

Nella mia tesi di dottorato mi concentro sul poema di Lucrezia Marinelli, L'Enrico, ovvero Bisanzio acquistato, pubblicato a Venezia nel 1635, indagando le strategie messe in atto dall'autrice per rivisitare il genere epico in un'ottica di riscatto femminile. Rispetto al canone epico e, in particolare, al modello di riferimento - la Gerusalemme liberata del Tasso - le vicende nodali sono, infatti, riscritte da un punto di vista chiaramente femminile. Pur occupandomi principalmente dell'opera di Marinelli, in alcuni casi nel corso del mio lavoro propongo dei confronti con altri poemi epici e cavallereschi prodotti da donne - in particolare I tredici canti del Floridoro di Moderata Fonte (1581) - volti a mostrare come le scrittrici avessero degli intenti comuni, dialogando in maniera critica con i modelli maschili da cui, tuttavia, traggono ispirazione. Nei primi capitoli del mio lavoro prendo in esame alcuni personaggi tradizionali dell'epica (le guerriere, la maga, ...) presenti ne L'Enrico e ne ripercorro gli episodi topici (le sortite notturne, l'eroe sull'isola, ...) dimostrando come, pur inserendosi coerentemente nel genere epico, siano caratterizzati in modo sostanzialmente diverso rispetto alla precedente tradizione maschile. Il primo capitolo si concentra sulle figure di guerriere, le quali presentano - rispetto ai precedenti modelli - differenze notevoli: non si lasciano coinvolgere in vicende amorose e non finiscono per essere sottomesse o uccise da un uomo, mantenendo così coerentemente intatti i valori di forza e indipendenza. Neppure la maga sull'isola - presa in esame nel capitolo dedicato alle Altre figure di donne idealizzate - è coinvolta in vicende sentimentali o caratterizzata sensualmente. L'autrice la rappresenta, non alla stregua di una tentatrice al servizio delle forze del male, ma come una donna colta, casta e disposta ad aiutare il cavaliere naufragato sulla sua isola. Nello stesso capitolo sono indagate anche altre figure femminili idealizzate, per taluni aspetti meno innovative, ma ugualmente interessanti: la Vergine, la personificazione di Venezia e la Musa. Queste rappresentazioni dal carattere iconico, presentano, infatti, diverse caratteristiche in comune con i personaggi più attivi del poema, le guerriere e la maga. Il capitolo Delle pene e delle tragedie amorose è dedicato all'amore e ai suoi esiti tragici. Le figure di donna coinvolte sono le madri, le mogli e Idillia, in cui è riconoscibile il personaggio topico della "damigella in difficoltà". Queste protagoniste, destinate a soffrire perché abbandonate dall'uomo che amano - il quale sente più forte il richiamo della guerra rispetto a quello dell'amore - servono da exempla, dimostrando che attaccamento affettivo e dipendenza conducono inesorabilmente all'infelicità. Rispetto al canone epico Marinelli riscatta alcune figure femminili, permettendo alle sue guerriere di prendersi la rivincita, vendicando la morte di eroine quali Camilla e Clorinda. Conseguentemente, alcuni guerrieri sono destinati a morire per mano di una donna. Nel quarto capitolo, mi concentro proprio su La sconfitta degli eroi, mettendo in luce come l'autrice proponga una sua personale regola del contrappasso, volta a cambiare (e addirittura invertire) le sorti dei personaggi che animano il suo poema. Questi aspetti risultano essere ancora più significativi se confrontati con l'opera - data alle stampe per la prima volta nel 1600 - intitolata Nobiltà et eccellenza delle donne. In questo trattato Marinelli sosteneva la superiorità del genere femminile su quello maschile. Alcune delle posizioni assunte nello scritto giovanile sono confermate dai personaggi e dalle vicende che animano l'Enrico. Confronti puntuali fra trattato e poema epico sono effettuati nell'ultimo capitolo del mio lavoro, sottolineando come fra le due opere vi siano delle affinità volte a confermare l'eccellenza delle donne.

Coisotropic regularization of singular Lagrangians

We present an alternative approach to the usual treatments of singular Lagrangians. It is based on a Hamiltonian regularization scheme inspired on the coisotropic embedding of presymplectic systems. A Lagrangian regularization of a singular Lagrangian is a regular Lagrangian defined on an extended velocity phase space that reproduces the original theory when restricted to the initial configuration space. A Lagrangian regularization does not always exists, but a family of singular Lagrangians is studied for which such a regularization can be described explicitly. These regularizations turn out to be essentially unique and provide an alternative setting to quantize the corresponding physical systems. These ideas can be applied both in classical mechanics and field theories. Several examples are discussed in detail. 1995 American Institute of Physics.

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Pierre Bourdieu's field theory is a strong account of how human action can be understood based on the principle that negotiates between structural, relational, and cognitive dimensions within the social world. With his central notion of fields, Bourdieu provides social scientists and economists, a way to transcend the dichotomies that shape theoretical thinking about human conduct and its innovative potentials. This chapter is dedicated to locate the position of the notion of field with respect to major schools of thought, and in particular to the embeddedness tradition that addresses similar questions on the social structuring of human behavior.

Exact results for Wilson loops in arbitrary representations

We compute the exact vacuum expectation value of 1/2 BPS circular Wilson loops of TeX = 4 U(N) super Yang-Mills in arbitrary irreducible representations. By localization arguments, the computation reduces to evaluating certain integrals in a Gaussian matrix model, which we do using the method of orthogonal polynomials. Our results are particularly simple for Wilson loops in antisymmetric representations; in this case, we observe that the final answers admit an expansion where the coefficients are positive integers, and can be written in terms of sums over skew Young diagrams. As an application of our results, we use them to discuss the exact Bremsstrahlung functions associated to the corresponding heavy probes.

Topological phases in small quantum Hall samples

Topological order has proven a useful concept to describe quantum phase transitions which are not captured by the Ginzburg-Landau type of symmetry-breaking order. However, lacking a local order parameter, topological order is hard to detect. One way to detect it is via direct observation of anyonic properties of excitations which are usually discussed in the thermodynamic limit, but so far has not been realized in macroscopic quantum Hall samples. Here we consider a system of few interacting bosons subjected to the lowest Landau level by a gauge potential, and theoretically investigate vortex excitations in order to identify topological properties of different ground states. Our investigation demonstrates that even in surprisingly small systems anyonic properties are able to characterize the topological order. In addition, focusing on a system in the Laughlin state, we study the robustness of its anyonic behavior in the presence of tunable finite-range interactions acting as a perturbation. A clear signal of a transition to a different state is reflected by the system's anyonic properties.

Amplitude envelope synchronization in coupled chaotic oscillators.

A peculiar type of synchronization has been found when two Van der PolDuffing oscillators, evolving in different chaotic attractors, are coupled. As the coupling increases, the frequencies of the two oscillators remain different, while a synchronized modulation of the amplitudes of a signal of each system develops, and a null Lyapunov exponent of the uncoupled systems becomes negative and gradually larger in absolute value. This phenomenon is characterized by an appropriate correlation function between the returns of the signals, and interpreted in terms of the mutual excitation of new frequencies in the oscillators power spectra. This form of synchronization also occurs in other systems, but it shows up mixed with or screened by other forms of synchronization, as illustrated in this paper by means of the examples of the dynamic behavior observed for three other different models of chaotic oscillators.

Supergravity models of (3+1)-dimensional QCD

The most general black M5-brane solution of eleven-dimensional supergravity (with a flat R4 spacetime in the brane and a regular horizon) is characterized by charge, mass and two angular momenta. We use this metric to construct general dual models of large-N QCD (at strong coupling) that depend on two free parameters. The mass spectrum of scalar particles is determined analytically (in the WKB approximation) and numerically in the whole two-dimensional parameter space. We compare the mass spectrum with analogous results from lattice calculations, and find that the supergravity predictions are close to the lattice results everywhere on the two dimensional parameter space except along a special line. We also examine the mass spectrum of the supergravity Kaluza-Klein (KK) modes and find that the KK modes along the compact D-brane coordinate decouple from the spectrum for large angular momenta. There are however KK modes charged under a U(1)×U(1) global symmetry which do not decouple anywhere on the parameter space. General formulas for the string tension and action are also given.