Equilibrium points and central configurations for the Lennard-Jones 2-and 3-body problems

Abstract. In this paper we study the relative equilibria and their stability for a system of three point particles moving under the action of a Lennard{Jones potential. A central con guration is a special position of the particles where the position and acceleration vectors of each particle are proportional, and the constant of proportionality is the same for all particles. Since the Lennard{Jones potential depends only on the mutual distances among the particles, it is invariant under rotations. In a rotating frame the orbits coming from central con gurations become equilibrium points, the relative equilibria. Due to the form of the potential, the relative equilibria depend on the size of the system, that is, depend strongly of the momentum of inertia I. In this work we characterize the relative equilibria, we nd the bifurcation values of I for which the number of relative equilibria is changing, we also analyze the stability of the relative equilibria.

Electrical signature of modern and ancient tectonic processes in the crust of the Atlas mountains of Morocco.

The Atlas Mountains in Morocco are considered as type examples of intracontinental chains, with high topography that contrasts with moderate crustal shortening and thickening. Whereas recent geological studies and geodynamic modeling have suggested the existence of dynamic topography to explain this apparent contradiction, there is a lack of modern geophysical data at the crustal scale to corroborate this hypothesis. Newly-acquired magnetotelluric data image the electrical resistivity distribution of the crust from the Middle Atlas to the Anti-Atlas, crossing the tabular Moulouya Plain and the High Atlas. All the units show different and unique electrical signatures throughout the crust reflecting the tectonic history of development of each one. In the upper crust electrical resistivity values may be associated to sediment sequences in the Moulouya and Anti-Atlas and to crustal scale fault systems in the High Atlas developed during the Cenozoic times. In the lower crust the low resistivity anomaly found below the Mouluya plain, together with other geophysical (low velocity anomaly, lack of earthquakes and minimum Bouguer anomaly) and geochemical (Neogene-Quaternary intraplate alkaline volcanic fields) evidence, infer the existence of a small degree of partial melt at the base of the lower crust. The low resistivity anomaly found below the Anti-Atlas may be associated with a relict subduction of Precambrian oceanic sediments, or to precipitated minerals during the release of fluids from the mantle during the accretion of the Anti-Atlas to the West African Supercontinent during the Panafrican orogeny ca. 685 Ma).

Cab45 is required for Ca(2+)-dependent secretory cargo sorting at the trans-Golgi network

Ca(2+) import into the lumen of the trans-Golgi network (TGN) by the secretory pathway calcium ATPase1 (SPCA1) is required for the sorting of secretory cargo. How is Ca(2+) retained in the lumen of the Golgi, and what is its role in cargo sorting? We show here that a soluble, lumenal Golgi resident protein, Cab45, is required for SPCA1-dependent Ca(2+) import into the TGN; it binds secretory cargo in a Ca(2+)-dependent reaction and is required for its sorting at the TGN.

Hàbitat en cova i espai pels ramats ca.6200-6000 BP:La Cova Colomera (Prepirineu de Lleida) durant el Neolític Antic.

En aquest treball es presenten les dades referents a la Cova Colomera (Sant Esteve de la Sarga, Pallars Jussà) durant el Neolític cardial final. A partir de diferents sondejos duts a terme des de l'any 2005, s'ha pogut observar la varietat d'usos i funcionalitats del jaciment en moments potencialment sincrònics. Per una banda,una zona on predominen les estructures de caire domètic (fogars, fosses i forats de pal)que ens mostren les dades entorn a l'hàbitat al jaciment; i per altra banda, un gran sector de la cavitat dedicat a l'estabulació dels ramats amb sediments de tipus fumier i probablement també a l'emmagatzematge. Tot això succeix en unes datacions d'entre 6180 +/- 40 i 6020 +/- 510BP. Aquestes dades es contextualitzen amb les d'altres jaciments de la zona pirinenca, un àmbit que sempre ha estat definit en la bibliografia com un espai de pas entre diferents biòtops ecològics, de les plantes fèrtils a les pastures de l'estiu.

Electrical signature of modern and ancient tectonic processes in the crust of the Atlas mountains of Morocco.

The Atlas Mountains in Morocco are considered as type examples of intracontinental chains, with high topography that contrasts with moderate crustal shortening and thickening. Whereas recent geological studies and geodynamic modeling have suggested the existence of dynamic topography to explain this apparent contradiction, there is a lack of modern geophysical data at the crustal scale to corroborate this hypothesis. Newly-acquired magnetotelluric data image the electrical resistivity distribution of the crust from the Middle Atlas to the Anti-Atlas, crossing the tabular Moulouya Plain and the High Atlas. All the units show different and unique electrical signatures throughout the crust reflecting the tectonic history of development of each one. In the upper crust electrical resistivity values may be associated to sediment sequences in the Moulouya and Anti-Atlas and to crustal scale fault systems in the High Atlas developed during the Cenozoic times. In the lower crust the low resistivity anomaly found below the Mouluya plain, together with other geophysical (low velocity anomaly, lack of earthquakes and minimum Bouguer anomaly) and geochemical (Neogene-Quaternary intraplate alkaline volcanic fields) evidence, infer the existence of a small degree of partial melt at the base of the lower crust. The low resistivity anomaly found below the Anti-Atlas may be associated with a relict subduction of Precambrian oceanic sediments, or to precipitated minerals during the release of fluids from the mantle during the accretion of the Anti-Atlas to the West African Supercontinent during the Panafrican orogeny ca. 685 Ma).

L’erotisme a les Cartes a les Senyores dels Àngels i de Jerusalem, de Francesc Fontanella = Eroticism in Cartes a les Senyores dels Àngels i de Jerusalem, of Francesc Fontanella

This article focuses on the study of the treatment of eroticism in some of the poetic compositions from Francesc Fontanella (1622-1682/3). The paper studies fiften literary epistles whisch Fontanella dedicated to the nuns of the convent of Els Àngels and Jerusalem of Barcelona during the 1640s. It is divided into two parts; to first, the compositions under study are identified and presented briefly, and some issues related to the transmission of these textes are clarified. The second part discusses in detail all erotic references present in text. This analysis, on one hand, allows to present an interpretation of the meaning of the whole story contained in the letters. Moreover, it allows to present a characterization of the erotic vision of Fontanella. This is done by comparing this vision with the usual one at the time of baroque, as well as by analyzing the rhetorical strategies and the representation strategies that the author uses in the treatment of eroticism

epiCentre!: rehabilitació de Ca n'Oliver com a centre d'art

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