MALADY

MACROSCOPIC LAWS AND DYNAMICAL SYSTEMS

Coordinatore	UNIVERSITA DEGLI STUDI DI ROMA TOR VERGATA    more 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

#	participant	country	role	EC contrib. [€]
1	UNIVERSITE PARIS-DAUPHINE  Organization address address: PLACE DU MARECHAL DE LATTRE DE TASSIGNY 1 city: PARIS CEDEX 16 postcode: 75775 contact info Titolo: Ms. Nome: Edith Cognome: Buser Email: send email Telefono: +33 1 44 05 43 62 Fax: +33 1 44 05 44 16	FR (PARIS CEDEX 16)	beneficiary	425˙640.00
2	UNIVERSITA DEGLI STUDI DI ROMA TOR VERGATA  Organization address address: VIA ORAZIO RAIMONDO 18 city: ROMA postcode: 173 contact info Titolo: Prof. Nome: Carlangelo Cognome: Liverani Email: send email Telefono: -72594661 Fax: -72594666	IT (ROMA)	hostInstitution	947˙080.00
3	UNIVERSITA DEGLI STUDI DI ROMA TOR VERGATA  Organization address address: VIA ORAZIO RAIMONDO 18 city: ROMA postcode: 173 contact info Titolo: Prof. Nome: Giuseppe Cognome: Novelli Email: send email Telefono: 390673000000 Fax: 39067236605	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.'