On an asymptotic formula for the maximum voltage drop in a on-chip power distribution network

We present a new asymptotic formula for the maximum static voltage in a simplified model for on-chip power distribution networks of array bonded integrated circuits. In this model the voltage is the solution of a Poisson equation in an infinite planar domain whose boundary is an array of circular pads of radius ", and we deal with the singular limit Ɛ → 0 case. In comparison with approximations that appear in the electronic engineering literature, our formula is more complete since we have obtained terms up to order Ɛ15. A procedure will be presented to compute all the successive terms, which can be interpreted as using multipole solutions of equations involving spatial derivatives of functions. To deduce the formula we use the method of matched asymptotic expansions. Our results are completely analytical and we make an extensive use of special functions and of the Gauss constant G

Interaction of Spiral Waves in the Complex Ginzburg-Landau Equation

Solutions of the general cubic complex Ginzburg-Landau equation comprising multiple spiral waves are considered, and laws of motion for the centers are derived. The direction of the motion changes from along the line of centers to perpendicular to the line of centers as the separation increases, with the strength of the interaction algebraic at small separations and exponentially small at large separations. The corresponding asymptotic wave number and frequency are also determined, which evolve slowly as the spirals move

Il·lusionisme. Nova Construcció i Rehabilitació Integral de la Vil·la Urània com a complex d'equipaments

Award-winning

Fachada solar como pieza singular de arquitectura sostenible

Articulo sobre la importancia de las energias renovables y su integración arquitectónica en el camino hacia una arquitectura sostenible. Descripción y evaluación del proyecto Fachada Solar SCHOTT Iberica.

Avaluació integral de l'impacte del màster en lideratge de la transformació socioeducativa

Aquest article analitza els resultats obtinguts amb l’avaluació de l’impacte del Màster enPedagogia Social i Comunitària: Lideratge de la Transformació Socioeducativa (MPS) i presenta les característiques del mètode d’avaluació proposat. La necessitat de determinar quins són els canvis (tant personals com laborals) que generen las formacions i la voluntat de millora contínua dels programes ha fomentat la posada en pràctica de diferents mecanismes d’avaluació d’impacte. Aquest estudi, a més d’avaluar genèricament l’impacte, ho fa en profunditat, proposa millores concretes de les formacions a estudi i posa el client (els estudiants) al centre de la recerca.

Symmetries of the free Schrödinger equation in the non-commutative plane

We study all the symmetries of the free Schr odinger equation in the non-commu- tative plane. These symmetry transformations form an infinite-dimensional Weyl algebra that appears naturally from a two-dimensional Heisenberg algebra generated by Galilean boosts and momenta. These infinite high symmetries could be useful for constructing non-relativistic interacting higher spin theories. A finite-dimensional subalgebra is given by the Schröodinger algebra which, besides the Galilei generators, contains also the dilatation and the expansion. We consider the quantization of the symmetry generators in both the reduced and extended phase spaces, and discuss the relation between both approaches.

Symmetries of the free Schrödinger equation in the non-commutative plane

We study all the symmetries of the free Schrödinger equation in the non-commu- tative plane. These symmetry transformations form an infinite-dimensional Weyl algebra that appears naturally from a two-dimensional Heisenberg algebra generated by Galilean boosts and momenta. These infinite high symmetries could be useful for constructing non-relativistic interacting higher spin theories. A finite-dimensional subalgebra is given by the Schröodinger algebra which, besides the Galilei generators, contains also the dilatation and the expansion. We consider the quantization of the symmetry generators in both the reduced and extended phase spaces, and discuss the relation between both approaches.

Pedagogia Social Comunitària: un model d’intervenció socioeducativa integral

L’actual situació d’inestabilitat social i econòmica que viu la nostra societat ha evidenciat l’existència de grans bosses de persones que viuen en situació de marginació o exclusió social. Les polítiques socials han donat resposta a situacions concretes, però no han articulat un teixit social fort que permeti incorporar de manera efectiva la persona exclosa, ni prevenir aquests processos. Es presenta en aquest article un model d’intervenció socioeducativa anomenat Pedagogia Social Comunitària que centra la seva acció en dos objectius: la millora de la qualitat de vida i el benestar de les persones, especialment d’aquelles que es troben en situació d’exclusió social; i el foment de la cohesió social. Aquestes finalitats s’operativitzen mitjançant l’increment de la participació, l’empoderament individual i comunitari, la coresponsabilitat i la sensibilització social.

Local thermodynamics and the generalized Gibbs-Duhem equation in systems with long-range interactions

The local thermodynamics of a system with long-range interactions in d dimensions is studied using the mean-field approximation. Long-range interactions are introduced through pair interaction potentials that decay as a power law in the interparticle distance. We compute the local entropy, Helmholtz free energy, and grand potential per particle in the microcanonical, canonical, and grand canonical ensembles, respectively. From the local entropy per particle we obtain the local equation of state of the system by using the condition of local thermodynamic equilibrium. This local equation of state has the form of the ideal gas equation of state, but with the density depending on the potential characterizing long-range interactions. By volume integration of the relation between the different thermodynamic potentials at the local level, we find the corresponding equation satisfied by the potentials at the global level. It is shown that the potential energy enters as a thermodynamic variable that modifies the global thermodynamic potentials. As a result, we find a generalized Gibbs-Duhem equation that relates the potential energy to the temperature, pressure, and chemical potential. For the marginal case where the power of the decaying interaction potential is equal to the dimension of the space, the usual Gibbs-Duhem equation is recovered. As examples of the application of this equation, we consider spatially uniform interaction potentials and the self-gravitating gas. We also point out a close relationship with the thermodynamics of small systems.

Pointwise estimates for the Bergman kernel of the weighted Fock space

We prove upper pointwise estimates for the Bergman kernel of the weighted Fock space of entire functions in $L^{2}(e^{-2\phi}) $ where $\phi$ is a subharmonic function with $\Delta\phi$ a doubling measure. We derive estimates for the canonical solution operator to the inhomogeneous Cauchy-Riemann equation and we characterize the compactness of this operator in terms of $\Delta\phi$.

Effective Electrodiffusion equation for non uniform nanochannels

We derive a one dimensional formulation of the Planck-Nernst-Poisson equation to describe the dynamics of of a symmetric binary electrolyte in channels whose section is of nanometric section and varies along the axial direction. The approach is in the spirit of the Fick-Jacobs di fusion equation and leads to a system of coupled equations for the partial densities which depends on the charge sitting at the walls in a non trivial fashion. We consider two kinds of non uniformities, those due to the spatial variation of charge distribution and those due to the shape variation of the pore and report one and three-dimensional solutions of the electrokinetic equations.

Programa integral de atención a las personas mayores en una zona rural

We describe a community intervention program performed in three rural villages in the Alt Empordà region (Girona province). The study provides data on the services available to the elderly in a specific context, based on an initiative proposed by the villages, the local councils, and the elderly themselves. The program is a research-action plan which applies the participative and qualitative methodology characteristic of strategic planning. The study analyses how the initiative arose, the description of the process, and the different parts of the intervention program

Psicoterapia positiva grupal en cáncer. Hacia una atención psicosocial integral del superviviente de cáncer

Objetivo: Las enfermedades graves como el cáncer pueden vivirse como experiencias traumáticas y/o como impulso para realizar cambios vitales positivos (ej. crecimiento postraumático). El programa de psicoterapia positiva grupal para supervivientes de cáncer que realizamos integra ambos elementos, trauma y crecimiento. Los objetivos del programa no son sólo la reducción de emociones negativas (malestar emocional o sintomatología postraumática) sino el trabajo con emociones positivas y la facilitación de crecimiento postraumático. Método: Los elementos de trabajo psicoterapéutico que han mostrado evidencia en la consecución de estos objetivos y que componen los módulos de este programa son: favorecer la expresión y procesamiento emocional, entrenar habilidades de regulación emocional y estrategias de afrontamiento, trabajo con elementos facilitadores del crecimiento postraumático y confrontación con los aspectos existenciales y espirituales que surgen tras el diagnóstico y tratamiento oncológico. Además de estos aspectos psicoterapéuticos, complementamos el programa con otros factores relevantes en la adaptación psicosocial tras la enfermedad como: el fomento de estilos de vida saludables, la adherencia a los tratamientos oncológicos, la reinserción laboral y los comportamientos solidarios. Resultados: Los resultados preliminares del programa muestran mayor reducción de sintomatología postraumática y mayor crecimiento postraumático en el programa de psicoterapia positiva en el seguimiento a 3 meses al compararlo con un programa anterior centrado únicamente en la reducción de malestar emocional.

La arquitectura de la biblioteca: recomendaciones para un proyecto integral

Reseña de: ROMERO, SANTI. La arquitectura de la biblioteca: recomendaciones para un proyecto integral. Barcelona: Col·legi d'Arquitectes de Catalunya, 2001. 352 p. (Papers Sert; 5).

Tratamiento ortopodológico integral en un paciente corredor de marathón

La biomecánica de la carrera de Marathón supone un gran esfuerzo en el comportamiento dinámico del pie. El caso clínico de un corredor de esta especialidad con pies cavas varas y alteración de la marcha, nos demuestra que con un tratamiento ortopodológico adecuado a base de ortesis y soporte plantar obtuvimos resultados satisfactorios.