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
+33.4.91.26.95.16 Email
Bui Olivier PhD candidate
Email
Caby Théophile PhD candidate
Email
Delliaux Stéphane Guest
Email
Floriani Elena University faculty
+33.4.91.26.95.22 Email
Ghoudi Hamza PhD candidate
Email
Gori Matteo Postdoctoral researcher
Email
Lechelon Mathias Postdoctoral researcher
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Leoncini Xavier University faculty
Référent pôle de recherche interdisciplinaire et intersectoriel AMU - Energie
+33.4.91.26.95.38 Email
Maestri Stefano PhD candidate
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Pettini Marco University faculty
Chef de l’équipe « Systèmes dynamiques : théories et applications »
+33.4.91.26.95.24 Email
Rejeiba Tarek PhD candidate
Email
Vaienti Sandro University faculty
+33.4.91.26.95.44 Email
Valvo Lorenzo PhD candidate
Email
Vittot Michel Researcher
Chef du Groupe « Systèmes dynamiques classiques et quantiques »
+33.4.91.26.95.24 Email
Wang Tianbo PhD candidate
Email

List of Publications

201 results
Journal article
Shun Ogawa, Yoshiyuki Y. Yamaguchi
Landau like theory for universality of critical exponents in quasistatioary states of isolated mean-field systems
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2015, 91 (6), pp.062108 〈10.1103/PhysRevE.91.062108〉
Journal article
Yoshiyuki Y. Yamaguchi, Shun Ogawa
Conditions for predicting quasistationary states by rearrangement formula
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2015, 92 (4), pp.042131 〈10.1103/PhysRevE.92.042131〉
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〉
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〉
Journal article
M Lingam, Philip Morrison, E Tassi
Inertial magnetohydrodynamics
Physics Letters A, Elsevier, 2015, 379, pp.570 - 576. 〈10.1016/j.physleta.2014.12.008〉
Journal article
Romain Aimino, Matthew Nicol, Sandro Vaienti
Annealed and Quenched Limit Theorems for Random Expanding Dynamical Systems
Probability Theory and Related Fields, Springer Verlag, 2015, 162 (1), pp.233-274. 〈10.1007/s00440-014-0571-y〉
Journal article
Davide Faranda, Jorge Milhazes Freitas, Pierre Guiraud, Sandro Vaienti
Sampling local properties of attractors via Extreme Value Theory
Chaos, Solitons and Fractals, Elsevier, 2015, Extreme Events and its Applications, 74, pp.55-66. 〈10.1016/j.chaos.2015.01.016〉
Journal article
Emanuela Merelli, Marco Pettini, Mario Rasetti
Topology driven modeling: the IS metaphor
Natural Computing, Springer Verlag, 2015, 14 (3), pp.421-430. 〈10.1007/s11047-014-9436-7〉
Journal article
G Erochenkova, Cristel Chandre
Photon plasma–wave interaction via Compton scattering
Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2015, 48 (49), pp.495502. 〈10.1088/1751-8113/48/49/495502〉
Journal article
Alessio Turchi, Duccio Fanelli, Xavier Leoncini
Emergence of a collective crystal in a classical system with long-range interactions
EPL - Europhysics Letters, European Physical Society/EDP Sciences/Società Italiana di Fisica/IOP Publishing, 2015, 111 (3), pp.30011. 〈10.1209/0295-5075/111/30011〉
201 results

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