Objetivo This project aims to get a theoretical understanding of the most important large-scale phenomena in classical and quantum disordered systems. Thanks to the renormalization group approach the critical behaviour of pure systems is under very good control; however disordered systems are in many ways remarkably peculiar (think for example to non-perturbative phenomena like Griffiths singularities), often the conventional approach does not work and many crucial issues are still unclear. My work aims to fill this important hole in our understanding of disordered systems. I will concentrate my efforts on some of the most important and studied systems, i.e. spin glasses, random field ferromagnets (that are realized in nature as diluted antiferromagnets in a field), Anderson and Mott localization (with possible experimental applications to Bose-Einstein condensates and to electron glasses), surface growth in random media (KPZ and DLA models). In this project I want to pursue a new approach to these problems. I aim to compute in the most accurate way the properties of these systems using the original Wilson formulation of the renormalization group with a phase space cell analysis; this is equivalent to solving a statistical model on a hierarchical lattice (Dyson-Bleher-Sinai model). This is not an easy job. In the same conceptual frame we plan to use simultaneously very different techniques: probabilistic techniques, perturbative techniques at high orders, expansions around mean field on Bethe lattice and numerical techniques to evaluate the critical behaviour. I believe that even this restricted approach is very ambitious, but that the theoretical progresses that have been done in unveiling important features of disordered systems suggest that it will be possible to obtain solid results. Ámbito científico ingeniería y tecnologíaingeniería de materialesciencias naturalesmatemáticasmatemáticas aplicadasestadística y probabilidadciencias naturalesciencias físicasfísica de la materia condensadacondensados de bose-einstein Programa(s) FP7-IDEAS-ERC - Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Tema(s) ERC-AG-PE2 - ERC Advanced Grant - Fundamental constituents of matter Convocatoria de propuestas ERC-2009-AdG Consulte otros proyectos de esta convocatoria Régimen de financiación ERC-AG - ERC Advanced Grant Coordinador UNIVERSITA DEGLI STUDI DI ROMA LA SAPIENZA Dirección Piazzale aldo moro 5 00185 Roma Italia Ver en el mapa Región Centro (IT) Lazio Roma Tipo de actividad Higher or Secondary Education Establishments Investigador principal Giorgio Parisi (Prof.) Contacto administrativo Egidio Longo (Prof.) Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Aportación de la UE Sin datos Beneficiarios (1) Ordenar alfabéticamente Ordenar por aportación de la UE Ampliar todo Contraer todo UNIVERSITA DEGLI STUDI DI ROMA LA SAPIENZA Italia Aportación de la UE € 2 098 800,00 Dirección Piazzale aldo moro 5 00185 Roma Ver en el mapa Región Centro (IT) Lazio Roma Tipo de actividad Higher or Secondary Education Establishments Investigador principal Giorgio Parisi (Prof.) Contacto administrativo Egidio Longo (Prof.) Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Otras fuentes de financiación Sin datos
