Centre de Physique Théorique

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Dynamical Systems: Theory and Applications

Group “Classical and Quantum Dynamical Systems”

Statistical Properties of Dynamical Systems: Probabilistic methods are used to study limit theorems in the case of deterministic and random dynamical systems, especially the central limit theorem (CLT), the Almost Sure Invariance Principle, the large deviations and the distribution of rare events.
The rate of decay of correlations for non-uniformly hyperbolic systems is estimated through new techniques (coupling, renewal). Random systems (by random composition of maps acting on the same space) and sequential dynamical systems (non-stationary, or non-autonomous, processes where a concatenation of maps act on a space) are also studied. We have formulated and develop the extreme value theory for random and non-autonomous systems and with the extension to coupled map lattices.

Fusion plasma physics : We develop reduced Hamiltonian fluid and kinetic models from Dirac’s constraint theory to investigate fundamental mechanisms of turbulent magnetized plasma that deteriorate the confinement in tokamak devices. Spurious instabilities in non-Hamiltonian hybrid model for interaction of energetic particles with a thermal plasma are also investigated, as well as
secondary instabilities following magnetic reconnection. Another part of the research activity concerns the application of the theory of stochastic processes to study the formation of transport barriers in tokamaks.

Biophysics : We focus on the fundamental physical processes, in particular resonant electrodynamic forces acting at a long distance, which are surmised to be responsible of the high efficiency of the molecular machinery within living cells and long-range coherence in biological systems. This activity is pursued on both theoretical and experimental sides in collaboration with molecular biologists.

Complexity: New methods of measuring networks complexity are developed within the framework of Riemannian Information Geometry. Applications to protein interaction networks in cancer cells are being developed.

Directory of Members

Aschbacher Walter University faculty
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Bui Olivier PhD candidate
Caby Théophile PhD candidate
Delliaux Stéphane Guest
Floriani Elena University faculty
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Ghoudi Hamza PhD candidate
Leoncini Xavier University faculty
Référent pôle de recherche interdisciplinaire et intersectoriel AMU - Energie
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Maestri Stefano PhD candidate
Pettini Marco University faculty
Chef de l’équipe « Systèmes dynamiques : théories et applications »
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Rejeiba Tarek PhD candidate
Vaienti Sandro University faculty
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Valvo Lorenzo PhD candidate
Vittot Michel Researcher
Chef du Groupe « Systèmes dynamiques classiques et quantiques »
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Wang Tianbo PhD candidate

List of Publications

190 results
Journal article
Simon Berman, Cristel Chandre, T Uzer
Persistence of Coulomb focusing during ionization in the strong-field regime
Physical Review A, American Physical Society, 2015, 92, pp.023422
Journal article
M Perin, C Chandre, P.J. Morrison, E Tassi
Hamiltonian closures for fluid models with four moments by dimensional analysis
Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2015, 48 (27), pp.275501
Conference paper
Matteo Gori, Ilaria Nardecchia, Marco Pettini, Jeremie Torres, Luca Varani
Investigation of Brownian Diffusion and Long-Distance Electrodynamic Interactions of Biomolecules
IEEE. International Conference on Noise and Fluctuations, Jun 2015, Xi’an, China. 2015 International Conference on Noise and Fluctuations (ICNF), 2015, 〈10.1109/ICNF.2015.7288566〉
Journal article
Michael Norman, C Chandre, T Uzer, Peijie Wang
Nonlinear dynamics of ionization stabilization of atoms in intense laser fields
Physical Review A, American Physical Society, 2015, 91, pp.023406. 〈http://journals.aps.org/pra/abstract/10.1103/PhysRevA.91.023406〉
Preprint, Working paper
Matteo Gori, Roberto Franzosi, Marco Pettini
On the apparent failure of the topological theory of phase transitions
Journal article
Jordane Preto, Marco Pettini, Jack Tuszynski
Possible role of electrodynamic interactions in long-distance biomolecular recognition
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2015, 91 (5), pp.052710. 〈10.1103/PhysRevE.91.052710〉
Other publication
Tobias Kuna, Sandro Vaienti
Special issue on mathematics for the fluid Earth
Call for papers : Journal of Physics A: Mathematical and Theoretical, 48 (14), 140201 2015, 〈10.1088/1751-8113/48/14/140201〉
Journal article
Lydia Bouchara, Ouerdia Ourrad, Sandro Vaienti, Xavier Leoncini
Anomalous transport and observable average in the standard map
Chaos, Solitons and Fractals, Elsevier, 2015, 78, pp.277-284. 〈10.1016/j.chaos.2015.08.007〉
Journal article
E Tassi
Hamiltonian fluid reductions of electromagnetic drift-kinetic equations for an arbitrary number of moments
Annals of Physics, 2015, 362, pp.239. 〈10.1016/j.aop.2015.08.001〉
Journal article
Hale Aytaç, Jorge Milhazes Freitas, Sandro Vaienti
Laws of Rare Events for Deterministic and Random Dynamical Systems
Transactions of the American Mathematical Society, American Mathematical Society, 2015, 367, pp.8229-8278. 〈10.1090/S0002–9947–2014–06300–9〉
190 results