{{{ 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->https://lpmmc.cnrs.fr/spip.php?page=publications&id_auteur=9&clepubli=Canet].

link to [ORCID->https://orcid.org/0000-0002-4182-0932]

link to [HAL->https://hal.science/search/index?q=leonie-canet]

{{{Mini Curriculum Vitae}}}

-* 2019- : Professor at the University Grenoble Alpes
-* 2019-2024 : Member of the [Institut Universitaire de France->http://www.iufrance.fr/les-membres-de-liuf/membre/1963-leonie-canet.html]
-* 2018 : [Bronze medal->http://www.cnrs.fr/fr/personne/leonie-canet] 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->https://tel.archives-ouvertes.fr/tel-00006919] (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}}:
-* Riccardo Ferrini (2025-2028) — co-supervisor, supervisor Anna Minguzzi
{Continuous matter wave sources for quantum sensing }
-* Gregorio Tibone (2025-2028) — co-supervisor, supervisor Giorgio Krstulovic
{Theoretical approach to wave turbulence using the functional renormalisation group.}
-* Liuba Gosteva (2024-2027) — supervisor
{Study of classical and quantum turbulence using the functional renormalisation group}
-* Félix Helluin (2022-2025) — co-supervisor, supervisor Anna Minguzzi, co-supervisor Michele Filipone
{A study of non-equilibrium excitons-polaritons condensates in 1D and 2D}
-* Martina Zündel (2022-2025) — supervisor, co-supervisor Anna Minguzzi
{Functional Renormalisation group approach of open quantum systems}
-* Francesco Vercesi (2021-2024) — supervisor, co-supervisors Maxime Richard and Anna Minguzzi
{Non-equilibrium criticality in one dimension: from the Kardar-Parisi-Zhang equation to exction-polariton systems.}
[thesis manuscript->https://theses.fr/2024GRALY104]
Springer award for outstanding thesis
[GitHub->https://github.com/vercesif/exciton-polaritons]
-* Côme Fontaine (2020-2023) — supervisor
{A study of two simplified models of fluid turbulence with the functional renormalisation group: the Burgers equation and the Sabra shell model}
[thesis manuscript->https://theses.fr/s244400]
[GitLab->https://gitlab.com/CFon10/sabra_frg_solver]
-* Konstantinos Deligiannis (2019-2022) — supervisor, co-supervisor Anna Minguzzi
{Kardar-Parisi-Zhang universality in the phase of a condensate of exciton polaritons : from the scaling of correlation functions to advanced statistics of the phase in 1+1 and 2+1 dimensions}
[thesis manuscript->https://tel.archives-ouvertes.fr/tel-03722989]
[GitHub->https://github.com/kdeligia]
-* Anastasiia Gorbunova (2018-2021) — co-supervisor, supervisor Vincent Rossetto, co-supervisor Guillaume Balarac
{Correlation functions in turbulence: direct numerical simulations and comparaison with functional renormalisation group analysis}
[thesis manuscript->https://tel.archives-ouvertes.fr/tel-03599573]
-* Davide Squizzato (2016-2019) — supervisor, 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}
[thesis manuscript->https://tel.archives-ouvertes.fr/tel-02494207]
-* Malo Tarpin (2015-2018) — supervisor
{Non-perturbative renormalisation group approaches to non-equilibrium systems: diffusive epidemic process and fully developed turbulence}
[thesis manuscript->https://tel.archives-ouvertes.fr/tel-02053156]
[Springer award for outstanding thesis->https://link.springer.com/book/10.1007/978-3-030-39871-2]

{{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.}