First-principles periodic calculation of four-body spin terms in high-Tc cuprate superconductors

A general mapping between the energy of pertinent magnetic solutions and the diagonal terms of the spin Hamiltonian in a local representation provides the first general framework to extract accurate values for the many body terms of extended spin Hamiltonians from periodic first-principle calculations. Estimates of these terms for La2CuO4, the paradigm of high-Tc superconductor parent compounds, and for the SrCu2O3 ladder compound are reported. For La2CuO4, present results support experimental evidence by Toader et al. [Phys. Rev. Lett. 94, 197202 (2005)]. For SrCu2O3 even larger four-body spin amplitudes are found together with Jl/Jr=1 and non-negligible ferromagnetic interladder exchange.

First-principles periodic calculation of four-body spin terms in high-Tc Cuprate superconductors

A general mapping between the energy of pertinent magnetic solutions and the diagonal terms of the spin Hamiltonian in a local representation provides the first general framework to extract accurate values for the many body terms of extended spin Hamiltonians from periodic first-principle calculations. Estimates of these terms for La2CuO4, the paradigm of high-Tc superconductor parent compounds, and for the SrCu2O3 ladder compound are reported. For La2CuO4, present results support experimental evidence by Toader et al. [Phys. Rev. Lett. 94, 197202 (2005)]. For SrCu2O3 even larger four-body spin amplitudes are found together with Jl/Jr=1 and non-negligible ferromagnetic interladder exchange.

Balance del siglo XIX: la medicina

Amb motiu del Quart Congrés d'Història de la Medicina Catalana, es publica aquest recull d'articles del Doctor Robert, aparescuts a La Vanguardia a partir del 1901 i que aporten un testimoni directe d'un moment àlgid de la medicina catalana. Els recopil·ladors, en Josep M. Calbet i en Jacint Corbella, pretenen també destacar la implicació política d'aquest personatge tan rellevant.

El Graduado Superior en Arqueología. Balance de una experiencia docente en la Universidad de Barcelona (2000-2005)

La universidad de Barcelona inició la docencia de la Prehistoria y la Arqueología en 1916 con P. Bosch Gimpera. Desde entonces la arqueología en la universidad de Barcelona ha tenido una brillante trayectoria y ha conocido diversos planes de estudio cuyas vicisitudes se presentan brevemente. La experiencia acumulada a lo largo de casi un siglo de enseñanza e investigación ha servido para organizar un título propio de Arqueología: el Graduado Superior en Arqueología, que lleva cuatro cursos funcionando. De esta experiencia piloto se presenta la estructura del título, la viabilidad del mismo por la demanda social existente y, finalmente, se apoya la idea de petición de un Grado de Arqueología como mejor fórmula para el futuro de la Arqueología en la universidad

Adaptacion al medio y transformacion artesanal: balance actual de las investigaciones acerca del alfar medieval de Cabrera d'Anoia

Las investigaciones sobre Cabrera d"Anoia (Barcelona) han avanzado de forma considerable en los últimos años. La caracterización de los materiales y el estudio de la documentación arqueológica han logrado definir un particular sistema de producción de cerámica que se desarrolla en un marco rupestre de dimensiones limitadas. Una situación que obliga a la modificación continua del área de trabajo en beneficio de las actividades productivas. Este artículo analiza ese proceso de adaptación y transformación permanente del espacio artesanal a partir de los datos proporcionados por el yacimiento. Se trata, en consecuencia, de esbozar un primer balance de los resultados más recientes tras 20 años de investigación sobre este alfar.

Adaptacion al medio y transformacion artesanal: balance actual de las investigaciones acerca del alfar medieval de Cabrera d'Anoia

Las investigaciones sobre Cabrera d"Anoia (Barcelona) han avanzado de forma considerable en los últimos años. La caracterización de los materiales y el estudio de la documentación arqueológica han logrado definir un particular sistema de producción de cerámica que se desarrolla en un marco rupestre de dimensiones limitadas. Una situación que obliga a la modificación continua del área de trabajo en beneficio de las actividades productivas. Este artículo analiza ese proceso de adaptación y transformación permanente del espacio artesanal a partir de los datos proporcionados por el yacimiento. Se trata, en consecuencia, de esbozar un primer balance de los resultados más recientes tras 20 años de investigación sobre este alfar.

The number of planar central configurations for the 4-body problem is finite when 3 mass positions are fixed

In the n{body problem a central con guration is formed when the position vector of each particle with respect to the center of mass is a common scalar multiple of its acceleration vector. Lindstrom showed for n = 3 and for n > 4 that if n ? 1 masses are located at xed points in the plane, then there are only a nite number of ways to position the remaining nth mass in such a way that they de ne a central con guration. Lindstrom leaves open the case n = 4. In this paper we prove the case n = 4 using as variables the mutual distances between the particles.

Families of periodic orbits for the spatial isosceles 3-body problem

We study the families of periodic orbits of the spatial isosceles 3-body problem (for small enough values of the mass lying on the symmetry axis) coming via the analytic continuation method from periodic orbits of the circular Sitnikov problem. Using the first integral of the angular momentum, we reduce the dimension of the phase space of the problem by two units. Since periodic orbits of the reduced isosceles problem generate invariant two-dimensional tori of the nonreduced problem, the analytic continuation of periodic orbits of the (reduced) circular Sitnikov problem at this level becomes the continuation of invariant two-dimensional tori from the circular Sitnikov problem to the nonreduced isosceles problem, each one filled with periodic or quasi-periodic orbits. These tori are not KAM tori but just isotropic, since we are dealing with a three-degrees-of-freedom system. The continuation of periodic orbits is done in two different ways, the first going directly from the reduced circular Sitnikov problem to the reduced isosceles problem, and the second one using two steps: first we continue the periodic orbits from the reduced circular Sitnikov problem to the reduced elliptic Sitnikov problem, and then we continue those periodic orbits of the reduced elliptic Sitnikov problem to the reduced isosceles problem. The continuation in one or two steps produces different results. This work is merely analytic and uses the variational equations in order to apply Poincar´e’s continuation method.

Infinitely many periodic orbits for the rhomboidal five-body problem

We prove the existence of infinitely many symmetric periodic orbits for a regularized rhomboidal five-body problem with four small masses placed at the vertices of a rhombus centered in the fifth mass. The main tool for proving the existence of such periodic orbits is the analytic continuation method of Poincaré together with the symmetries of the problem. © 2006 American Institute of Physics.

Double-Antiprism Central Configurations of the 3n-Body Problem

Abstract In this paper we study numerically a new type of central configurations of the 3n-body problem with equal masses which consist of three n-gons contained in three planes z = 0 and z = ±β = 0. The n-gon on z = 0 is scaled by a factor α and it is rotated by an angle of π/n with respect to the ones on z = ±β. In this kind of configurations, the masses on the planes z = 0 and z = β are at the vertices of an antiprism with bases of different size. The same occurs with the masses on z = 0 and z = −β. We call this kind of central configurations double-antiprism central configurations. We will show the existence of central configurations of this type.

On the existence of bi-pyramidal central configurations of the n + 2-body problem with an n-gon base

Abstract. In this paper we prove the existence of central con gurations of the n + 2{body problem where n equal masses are located at the vertices of a regular n{gon and the remaining 2 masses, which are not necessarily equal, are located on the straight line orthogonal to the plane containing the n{gon passing through its center. Here this kind of central con gurations is called bi{pyramidal central con gurations. In particular, we prove that if the masses mn+1 and mn+2 and their positions satisfy convenient relations, then the con guration is central. We give explicitly those relations.

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.

Maintenance of A/P body regions in planarians by TCEN49, a putative cystine-knot neurotrophin.

In freshwater planarians, the protein TCEN49 has been linked to the regional specification of the central body region, which includes the pharynx.