Nonradial entire solutions for Liouville systems

We consider the following system of Liouville equations: $$\left\{\begin{array}{ll}-\Delta u_1=2e^{u_1}+\mu e^{u_2}&\text{in }\mathbb R^2\\-\Delta u_2=\mu e^{u_1}+2e^{u_2}&\text{in }\mathbb R^2\\\int_{\mathbb R^2}e^{u_1}<+\infty,\int_{\mathbb R^2}e^{u_2}<+\infty\end{array}\right.$$ We show existence of at least $n-\left[\frac{n}3\right]$ global branches of nonradial solutions bifurcating from $u_1(x)=u_2(x)=U(x)=\log\frac{64}{(2+\mu)\left(8+|x|^2\right)^2}$ at the values $\mu=-2\frac{n^2+n-2}{n^2+n+2}$ for any $n\in\mathbb N$.Comment: 18 pages, accepted on Journal of Differential Equation

Correlated Fluctuations and Intraband Dynamics of J-Aggregates Revealed by Combination of 2DES Schemes

The intraband exciton dynamics of molecular aggregates is a crucial initial step to determine the possibly coherent nature of energy transfer and its implications for the ensuing interband relaxation pathways in strongly coupled excitonic systems. In this work, we fully characterize the intraband dynamics in linear J-aggregates of porphyrins, good model systems for multichromophoric assemblies in biological antenna complexes. Using different 2D electronic spectroscopy schemes together with Raman spectroscopy and theoretical modeling, we provide a full characterization of the inner structure of the main one-exciton band of the porphyrin aggregates. We find that the redistribution of population within the band occurs with a characteristic time of 280 fs and dominates the modulation of an electronic coherence. While we do not find that the coupling to vibrations significantly affects the dynamics of excitonic coherence, our results suggest that exciton fluctuations are nevertheless highly correlated

Metallic nanoparticles meet Metadynamics

We show how standard Metadynamics coupled with classical Molecular Dynamics can be successfully ap- plied to sample the configurational and free energy space of metallic and bimetallic nanopclusters via the implementation of collective variables related to the pair distance distribution function of the nanoparticle itself. As paradigmatic examples we show an application of our methodology to Ag147, Pt147 and their alloy AgshellPtcore at 1:1 and 2:1 chemical compositions. The proposed scheme is not only able to reproduce known structural transformation pathways, as the five and the six square-diamond mechanisms both in pure and core-shell nanoparticles but also to predict a new route connecting icosahedron to anti-cuboctahedron.Comment: 7 pages, 8 figure

Blow-up analysis of a nonlocal Liouville-type equation

In this paper we perform a blow-up and quantization analysis of the following nonlocal Liouville-type equation \begin{equation}(-\Delta)^\frac12 u= \kappa e^u-1~\mbox{in $S^1$,} \end{equation} where $(-\Delta)^\frac{1}{2}$ stands for the fractional Laplacian and $\kappa$ is a bounded function. We interpret the above equation as the prescribed curvature equation to a curve in conformal parametrization. We also establish a relation between this equation and the analogous equation in $\mathbb{R}$ \begin{equation} (-\Delta)^\frac{1}{2} u =Ke^u \quad \text{in }\mathbb{R}, \end{equation} with $K$ bounded on $\mathbb{R}$.Comment: 59 page

The Cagliari Airport impact on Sardinia tourism: a Logit-based analysis

In the field of air transportation management, traditionally, airlines have been the main actors in the process for deciding which new flights open in a given airport, while airports acted only as the managers of the operations. The changes in the market due to the introduction of low cost companies, with consequent reduction of the airports' fares, as well as the increment of the density of regional airports in several European countries are modifying the mutual roles of airlines and airports. The final decision on new flight to be opened, in fact, is nowadays the result of a negotiation between airlines and airports. The airports must prove the sustainability on the new routes and forecast the economic impact on their catchment area. This paper contributes to advance the current state-of-the-art along two axes. From the pure transportation literature point of view, we introduce a Logit model able to predict the passengers flow in an airport when the management introduces a change in the flight schedule. The model is also able to predict the impact of this change on the airports in the surrounding areas. The second contribution is a case study on the tourist market of the Sardinia region, where we show how to use the results of the model to deduce the economic impact of the decisions of the management of the Cagliari airport on its catchment area in terms of tourists and economic growt

Chemical evolution of Seyfert galaxies

We computed the chemical evolution of Seyfert galaxies, residing in spiral bulges, based on an updated model for the Milky Way bulge with updated calculations of the Galactic potential and of the feedback from the central supermassive black hole (BH) in a spherical approximation. We followed the evolution of bulges of masses $2\times 10^{9}-10^{11}M_{\odot}$ by scaling the star-formation efficiency and the bulge scalelenght as in the inverse-wind scenario for ellipticals. We successfully reproduced the observed relation between the BH mass and that of the host bulge, and the observed peak nuclear bolometric luminosity. The observed metal overabundances are easily achieved, as well as the constancy of chemical abundances with the redshift.Comment: 2 pages, 1 figure, to appear the proceedings of IAUS245 "Formation and Evolution of Galaxy Bulges

“Deus foi o primeiro anestesista”: a obstetrícia e a dor em Lisboa, na viragem do século XX

In this article, I analyse the historical emergence of pain management in obstetric literature and practice and how it affected the constitution of a new epistemology of obstetrics in Portugal. The text draws largely on archival research on biomedical articles and theses from mid-19th up to early-20th-century Lisbon, revealing an emerging and shifting biomedical understanding of pain and the labouring body, the agency of the obstetrician, and the political role of obstetrics. The research is part of a longitudinal anthropological study of childbirth pain approached as a locus where affectivities, shifting ontologies and biopolitics merge. Rather than considering childbirth pain as a taken-for-granted physical phenomenon, its materialization within the specific biomedical and historical context of Portugal at the turn of the 20th century is analysed.Analisa-se, neste artigo, a forma como a gestão da dor no parto surgiu na prática e na literatura obstétrica e como afetou a constituição de uma nova epistemologia. A partir de uma pesquisa de arquivo de artigos biomédicos e teses, produzidas em Lisboa, entre a segunda metade do século XIX e as primeiras décadas do século XX, pretende-se focar o conhecimento biomédico, emergente e incerto, sobre a dor e o corpo em trabalho de parto, a agência do obstetra e o papel político da obstetrícia. A pesquisa faz parte de um estudo antropológico longitudinal, com uma abordagem da dor como locus onde se fundam afetividades, ontologias em mudança e biopolíticas. Em vez de considerar a dor como um fenómeno físico tido como certo, pretende-se traçar a sua materialização no contexto biomédico e histórico português específico, na viragem do século XX.info:eu-repo/semantics/publishedVersio

(Eu) somos lived experience of pregnancy and medicalization

In the past fifty years, pregnancy has gained a lot of interest in social sciences in correspondence with the surge of the body as systematic category of analysis. The pregnant body seems to become a hyper-body on which simultaneously operate biopolitics, economic forces and social imaginaries, all engaged in the creation of a new, dynamic ethic of reproduction. This thesis is an in-depth exploration of the unfolding of my lived experience of pregnancy on the background of the biomedical landscape. Moreover, it analyses the sharing of this experience with three pregnant women that, like me, immigrated in Portugal. It is developed within a phenomenological and critical frame, and takes the form of a dialogue, a dialectical alternation between the autoethnography of my pregnancy and the reflections it triggered in terms of embodiment, medicalization and socialization. The pregnant embodiment that emerges is a liminal one: challenging postulates of subjectivity and individuality, it reflects the complexity of being at once an “I”, (eu) and an “us” (somos).Nos últimos 50 anos a gravidez tem se revelado um assunto relevante na área das ciências sociais