Graphical Representations for Ising and Potts Models in General External Fields

This work is concerned with the theory of Graphical Representation for the Ising and Potts Models over general lattices with non-translation invariant external field. We explicitly describe in terms of the Random Cluster Representation the distribution function and, consequently, the expected value of a single spin for the Ising and $q$-states Potts Models with general external fields. We also consider the Gibbs States for the Edwards-Sokal Representation of the Potts Model with non-translation invariant magnetic field and prove a version of the FKG Inequality for the so called General Random Cluster Model (GRC Model) with free and wired boundary conditions in the non-translation invariant case. Adding the amenability hypothesis on the lattice, we obtain the uniqueness of the infinite connected component and the quasilocality of the Gibbs Measures for the GRC Model with such general magnetic fields. As a final application of the theory developed, we show the uniqueness of the Gibbs Measures for the Ferromagnetic Ising Model with a positive power law decay magnetic field, as conjectured in [8].Comment: 56 pages. Accepted for publication in Journal of Statistical Physic

Science Fiction films as a mirror of american society in the 1950´s. Special reference to the role of infiltrated invader

Durante el periodo de la guerra fría existió una corriente anticomunista en el seno de los Estados Unidos. El presente trabajo trata de comprobar cómo dentro de producciones sin intención propagandística y sin aspiración alguna a mostrar la realidad, se pueden encontrar elementos que reflejan la psicología de la época. Para el estudio, hemos confeccionado una base de datos a partir del listado de las 105 películas de este género según la catalogación del American Film Institute, producidas en Estados Unidos entre 1950 y 1959. Adicionalmente se ha realizado una contextualización histórica y un análisis descriptivo analizando la figura del enemigo infiltrado.There was a strong current of anticommunist-cinema during the cold war period in the United States. This article tries to demonstrate how productions without propagandistic or documentary intentions are able to show the psychology of this period of time. This paper examines fantastic films over the 1950-1960 time period according to the American Film Institute's list. We have compiled a database of 105 films focused on fantastic field in order to perform an in-depth analysis of the main paradigmatic films of this time period after contextualizing their environment. This is followed by the analysis of the generic archetypes that characters represented in science fiction films of that decade