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Stability and Transitions in Physical Processes

Objective

Many dynamical processes in natural sciences are organized by invariant objects that behave in rather simple ways under time evolution, such as equilibria, periodic orbits, or higher-dimensional invariant surfaces. These objects and the invariant manifolds attached to them act as landmarks that organize the behavior of other trajectories and yield a qualitative description of the dynamics. By computing strategically chosen landmarks, one can obtain considerable information of the possible behaviors of the system.
This strategy is particularly fruitful in Hamiltonian systems, in which a large number of invariant manifolds coexist. For example, it has been realized in recent years that Transition State theory, a framework first developed in chemistry and then applied to other fields of science, relies on the existence of invariant manifolds in phase space. These manifolds encode the essential dynamics of various reorganization processes.
The objective of this RISE proposal is to build a multidisciplinary exchange programme around the determination of invariant dynamical objects which encompass applied mathematics, atomic and molecular physics, chemistry and celestial mechanics.
The project aims at linking mathematicians, physicists and chemists to identify the universal mechanisms behind dynamical transition processes. The proposed collaborative project will be coordinated by the School of Mathematics of Loughborough University, and will involve the Department of Mathematics of the University of Barcelona, the Center for Theoretical Physics (CNRS / Aix Marseille University), the Physics Department of the Polytechnic University of Madrid, the Chemistry Department at the Universidad Autónoma of Madrid and the Physics Department at the University of Stuttgart. The third country partners are Georgia Institute of Technology, represented by the School of Mathematics and the School of Physics and Johns Hopkins University, represented by the School of Chemistry.

Call for proposal

H2020-MSCA-RISE-2016
See other projects for this call

Coordinator

LOUGHBOROUGH UNIVERSITY
Address
Ashby Road
LE11 3TU Loughborough
United Kingdom
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 63 000

Participants (6)

UNIVERSITAT DE BARCELONA
Spain
EU contribution
€ 144 000
Address
Gran Via De Les Corts Catalanes 585
08007 Barcelona
Activity type
Higher or Secondary Education Establishments
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
France
EU contribution
€ 54 000
Address
Rue Michel Ange 3
75794 Paris
Activity type
Other
UNIVERSITE D'AIX MARSEILLE
France
EU contribution
€ 40 500
Address
Boulevard Charles Livon 58
13284 Marseille
Activity type
Higher or Secondary Education Establishments
UNIVERSIDAD POLITECNICA DE MADRID
Spain
EU contribution
€ 90 000
Address
Calle Ramiro De Maeztu 7 Edificio Rectorado
28040 Madrid
Activity type
Higher or Secondary Education Establishments
UNIVERSIDAD AUTONOMA DE MADRID
Spain
EU contribution
€ 63 000
Address
Calle Einstein 3 Ciudad Univ Cantoblanco Rectorado
28049 Madrid
Activity type
Higher or Secondary Education Establishments
UNIVERSITY OF STUTTGART
Germany
EU contribution
€ 72 000
Address
Keplerstrasse 7
70174 Stuttgart
Activity type
Higher or Secondary Education Establishments

Partners (2)

GEORGIA TECH RESEARCH CORPORATION
United States
Address
Georgia Institute Of Technology
30332 0420 Atlanta Ga
Activity type
Research Organisations
JOHNS HOPKINS UNIVERSITY
United States
Address
North Charles Street 3400
21218 Baltimore
Activity type
Higher or Secondary Education Establishments