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Statistical Physics and Complex Systems

Group “Statistical Physics and Condensed Matter”

Statistical Physics and Complex Systems The activities of the “Statistical Physics and Complex Systems” team cover a wide spectrum. The first research direction concerns rigorous statistical mechanics, in particular the study of phase transitions in exactly solvable cases and/or from a geometric perspective. The second direction concerns the statistical physics of open quantum systems (out of equilibrium), and the development of models and analytical tools to study non-equilibrium steady states. The third direction focuses on the statistical physics of complex systems and complex networks, from the study of their structure to the study of dynamical processes on networks, and is pioneering in the study of temporal networks. Since the network paradigm can be used to describe many systems of different origins and natures, our research is interdisciplinary, including interactions with the social sciences, epidemiology, computer science, and neuroscience.

The team also participates in the Convergence Institute CENTURI. Since 2019 it has hosted three PIs partially funded by CENTURI, whose research topics concern collective effects and self-organization in living systems, cell mechanics, and neuroscience. They interact with experimental groups at IBDM and INMED.

The methods used by the team members range from rigorous mathematical tools to numerical simulations and the analysis of empirical data, covering the full range of standard approximation tools in statistical physics.

Team's directory

AGOSTINELLI Cosimo

Ph.D.

Contact
ASCH Joachim

Research teacher

+33.4.91.26.95.20

Contact
ASCHBACHER Walter

Research teacher

+33.4.91.26.95.16

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BARRAT Alain

Researcher

Director

+33.4.91.26.95.40

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BREIER Patrick

Visitor

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ESTAVOYER Maxime

Post Ph.D.

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GAMBAUDO Juliette

Ph.D.

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GANDOLFO Daniel

Research teacher

+33.4.91.26.95.10

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GENOIS Mathieu

Research teacher

Team leader « Statistical Physics and Complex Systems »

+33.4.91.26.95.42

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IANNELLO Ludovico

Ph.D.

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MANCASTROPPA Marco

Post Ph.D.

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MAURIAL Gabriel

Ph.D.

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MERKEL Matthias

Researcher

+33.4.91.26.95.12

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NATH Sujit-Kumar

Post Ph.D.

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PEREZ Pablo

Ph.D.

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PILLET Claude-Alain

Research teacher

+33.4.91.26.95.32

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PLOTZE Yan

Ph.D.

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QAZI Saaheelur-Rahaman

Ph.D.

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ROUAULT Herve

Researcher

+33.4.91.26.95.13

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ROULEUX Michel

Research teacher

+33.4.91.26.97.97

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RUPPRECHT Jean-Francois

Researcher

+33.4.91.26.95.14

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SABY Florian

Ph.D.

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SHLOSMAN Senya

Researcher emeritus

+33.4.91.26.95.31

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VIEIRA-MENDES Toni

Post Ph.D.

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VINZE Prathmesh

Post Ph.D.

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WANG Michael

Post Ph.D.

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ZETT Lukas

Ph.D.

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Team's publications

Open Quantum Systems III

Stéphane Attal, Alain Joye, Claude-Alain Pillet

Springer/Lecture Notes in Mathematics 1882, pp.1-292, 2006, (10.1007/b128453)

Book


Quantum Dynamical Systems

Claude-Alain Pillet

S. Attal, A. Joye, C.-A. Pillet. Open Quantum Systems I, 1880, Springer, pp.107-182, 2006, Lecture Notes in Mathematics : Open Quantum Systems I, (10.1007/b128449)

Book Section


Topics in nonequilibrium quantum statistical mechanics

Walter H. Aschbacher, Vojkan Jaksic, Yan Pautrat, Claude-Alain Pillet

S. Attal, A. Joye, C.-A. Pillet. Open Quantum Systems III, Springer, pp.1-66, 2006, Lecture Notes in Mathematics 1882, (10.1007/b128453)

Book Section


Open Quantum Systems II

Stéphane Attal, Alain Joye, Claude-Alain Pillet

Springer/Lecture Notes in Mathematics 1881, pp.1-220, 2006, (10.1007/b128451)

Book


Linear response theory for thermally driven quantum open systems

Vojkan Jaksic, Yoshiko Ogata, Claude-Alain Pillet

Journal of Statistical Physics, 2006, 123 (3), pp.547-569. (10.1007/s10955-006-9075-1)

Journal articles


The Green-Kubo formula and the Onsager reciprocity relations in quantum statistical mechanics

Vojkan Jaksic, Yoshiko Ogata, Claude-Alain Pillet

Communications in Mathematical Physics, 2006, 265 (3), pp.721-738. (10.1007/s00220-006-0004-6)

Journal articles


Non-Equilibrium Steady States of the XY Chain

Claude-Alain Pillet, Walter H. Aschbacher

Journal of Statistical Physics, 2003, 112, pp.1153 - 1175. (10.1023/A:1024619726273)

Journal articles


A note on the entropy production formula

Vojkan Jaksic, Claude-Alain Pillet

Contemporary mathematics, 2003, 327, pp.175-180

HAL

Journal articles


Perturbation theory of W*-dynamics, Liouvilleans and KMS states

Jan Derezinski, Vojkan Jaksic, Claude-Alain Pillet

Reviews in Mathematical Physics, 2003, 15, pp.447-489. (10.1142/S0129055X03001679)

Journal articles


Non-Equilibrium Steady States of Finite Quantum Systems Coupled to Thermal Reservoirs

Claude-Alain Pillet, Vojkan Jaksic

Communications in Mathematical Physics, 2002, 226, pp.131 - 162. (10.1007/s002200200602)

Journal articles