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Accueil > Zone Pages > Pages Personnelles > Léonie Canet > home page

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Research Activities

My research work lies within the scope of statistical physics and is devoted in particular to the study of non-equilibrium systems.

A word on the problematic...

Although the statistical properties of systems at thermal equilibrium are generally well understood theoretically, it is far from being the case out-of-equilibrium. This is all the more deceptive than equilibrium is rather the exception than the rule in nature. The theoretical understanding of non-equilibrium systems and in particular of non-equilibrium critical phenomena appears as a one of the major challenges of statistical mechanics nowadays. Making progress requires the development of new theoretical tools. In this respect, the framework of field theory, and more specifically non-perturbative renormalization group methods (initially developed in the nineties for high-energy physics) stand as promising candidates to investigate the rich physics of non-equilibrium systems and they are part of my field of expertise.

My main research interests :

  • Reaction-diffusion processes :

through different models such as directed percolation or branching and annihilating random walks, diffusive epidemic process...

  • Interface growth and roughening transition

through the study of the Kardar-Parisi-Zhang equation, and its extensions, in the presence of anisotropy, spatial or temporal correlations in the microscopic noise...

  • Fully developed isotropic and homogeneous turbulence

through the study of the stochastic Navier-Stokes equation for an incompressible flow, in two or three dimensions, calculation of the statistical properties of the turbulent fluid.

  • KPZ physics in exciton-polariton condensates

study of the emergence of KPZ universal behavior in the long-distance properties of the phase of the condensate wave-function, whose dynamics can be described by the Gross-Pitaevskii equation, generalized to account for the driven-dissipative conditions.

  • Theoretical studies of the non-perturbative renormalisation group

in particular for applications to non-equilibrium systems (causality, time reversal symmetries ...)

Publications

complete list of my publications.

Mini Curriculum Vitae

  • 2019- : Professor at the University Grenoble Alpes
  • 2019-2024 : Member of the Institut Universitaire de France
  • 2018 : Bronze medal of CNRS
  • 2016 : Habilitation thesis of the University Grenoble Alpes
  • 2006-2019 : Assistant professor at the University Joseph Fourier / Grenoble Alpes
  • 2006 : Post-doc at SPEC - SPhT (CEA Saclay) with G. Biroli, J.-P. Bouchaud and H. Chaté
  • 2004-2005 : Post-doc at the University of Manchester (UK) with Prof. M.A. Moore
  • 2001-2004 : PhD at LPTHE (Paris) with B. Delamotte
  • 2000-2001 : Master ’Fields, particles and matter’ at Université Paris-Sud, Orsay

PhD thesis

Title : Reaction-diffusion processes : a non-perturbative renormalisation group approach.
Supervisor : B. Delamotte
defended on September, the 17th 2004 at the Université Paris VII- Denis Diderot.
thesis avalaible here (access provided by ccsd).

Habilitation thesis

Title : From interface growth to turbulence
defended on June, the 1st 2016 at the Université Grenoble Alpes.
thesis available upon request.

Students

PhD students :

  • Konstantinos Deligiannis (2019-2022) — co-supervisor Anna Minguzzi
    KPZ physics in exciton-polariton systems
  • Anastasiia Gorbunova (2018-2021) — supervisor Vincent Rossetto, co-supervisor Guillaume Balarac
    Direct numerical simulations and advanced data analysis of turbulent flows.
  • Davide Squizzato (2016-2019) — co-supervisor Anna Minguzzi
    Exploring Kardar-Parisi-Zhang universality class : from the dynamics of exciton-polariton condensates to stochastic interface growth with temporally correlated noise
  • Malo Tarpin (2015-2018)
    Non-perturbative renormalisation group approaches to non-equilibrium systems : diffusive epidemic process and fully developed turbulence

post-docs :

  • Carlo Pagani (2019-2021)
    Intermittence for passive scalars advected by a turbulent flow
  • Steven Mathey (2015-2016)
    Influence of short-range spatial correlations in the microscopic noise of the Kardar-Parisi-Zhang equation
  • Thomas Kloss (2010-2013)
    Study of the strong-coupling phases of the Kardar-Parisi-Zhang equation and some of its extensions.