MALADY
MACROSCOPIC LAWS AND DYNAMICAL SYSTEMS
| Coordinatore | UNIVERSITA DEGLI STUDI DI ROMA TOR VERGATA
Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie. |
| Nazionalità Coordinatore | Italy [IT] |
| Totale costo | 1˙372˙720 € |
| EC contributo | 1˙372˙720 € |
| Programma | 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) |
| Code Call | ERC-2009-AdG |
| Funding Scheme | ERC-AG |
| Anno di inizio | 2010 |
| Periodo (anno-mese-giorno) | 2010-04-01 - 2015-07-31 |
Partecipanti
| # | ||||
|---|---|---|---|---|
| 1 |
UNIVERSITE PARIS-DAUPHINE
Organization address
address: PLACE DU MARECHAL DE LATTRE DE TASSIGNY 1 contact info |
FR (PARIS CEDEX 16) | beneficiary | 425˙640.00 |
| 2 |
UNIVERSITA DEGLI STUDI DI ROMA TOR VERGATA
Organization address
address: VIA ORAZIO RAIMONDO 18 contact info |
IT (ROMA) | hostInstitution | 947˙080.00 |
| 3 |
UNIVERSITA DEGLI STUDI DI ROMA TOR VERGATA
Organization address
address: VIA ORAZIO RAIMONDO 18 contact info |
IT (ROMA) | hostInstitution | 947˙080.00 |
Mappa
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Obiettivo del progetto (Objective)
'Physics provides descriptions of the world at many different scales, yet the relations between such descriptions are poorly understood. In particular, since Boltzmann and Einstein, we interpret the world we see as the product of the microscopic dynamics of a large number of atoms. In spite of this, no satisfactory rigorous derivation of a macroscopic equation (e.g. the heat equation) from such a microscopic physical model exists. This sorry state of affairs is extremely unsatisfactory both from the theoretical point of view and for applications. Indeed, as the technology is entering the mesoscopic scale (nanotechnology), the need for a rigorous understanding of how the phenomenological macroscopic laws emerge and of their limits of validity becomes paramount. We believe that recent advances in the theory of Dynamical Systems and Probability, to which the members of our team have contributed, allow key progresses in the understanding of the above problem. The ultimate goal of this proposal is the derivation of macroscopic evolution laws from a microscopic Hamiltonian evolution. To this end we will consider a series of intermediate models: a) inspired to an anharmonic chain with some noise (of a fixed strength and not itself responsible for the changes in the local energy); b) inspired to hard spheres interacting via elastic collisions and confined by fixed periodic obstacles (gas of geometrically constrained hard spheres). The above project entails the solution of major problems in the fields of Dynamical Systems and Probability. In addition, it would contribute to substantiate Boltzmann's theoretical picture by providing a conclusive rigorous example of non-equilibrium macroscopic behavior arising from an (interacting) microscopic mechanical model.'