Freddy BOUCHET - ENS de Lyon and CNRS

CLIMATE AND STATISTICAL MECHANICS


Publications
Last updated January 2016
Books  Articles  Large Audience  Posters  Research slides 

Articles in scientific journals
Last updated January 2016

[45] T. NEMOTO, F BOUCHET, R.L. JACK, and V. LECOMTE, 2016, Population dynamics method with a multi-canonical feedback control, arXiv:1601.06648,  [.pdf]

[44] F BOUCHET and J. WOUTERS, 2016, Rare event computation in deterministic chaotic systems using genealogical particle analysis, arXiv:1511.02703,  [.pdf]

[43] F. BOUCHET, K. GAWEDZKI, and C. NARDINI, 2016, Perturbative calculation of quasi-potential in non-equilibrium diffusions: a mean-field example, arXiv:1509.03273,  [.pdf]

[42] F. BOUCHET and J. REYGNER, 2016, Generalisation of the Eyring-Kramers transition rate formula to irreversible diffusion processes, arXiv:1507.02104,  [.pdf]

[41] A. RENAUD, A. VENAILLE, and F BOUCHET, 2016, Equilibrium statistical mechanics and energy partition for the shallow water model, arXiv:1505.01356,  [.pdf]

[40] F. BOUCHET, T. GRAFKE, T. TANGARIFE, and E. VANDEN-EIJNDEN, 2016, Large Deviations in Fast–Slow Systems, Journal of Statistical Physics, 2015, p. 1-20, arXiv:1510.02227,  [.pdf]

[39] J. ROLLAND, F. BOUCHET, E. SIMONNET, 2016, Computing transition rates for the 1-D stochastic Ginzburg--Landau--Allen--Cahn equation for finite-amplitude noise with a rare event algorithm, LyX Document Journal of Statistical Physics, 2016, 162, 2, 277-311, arXiv:1507.05577,  [.pdf]

[38] J. LAURIE and F. BOUCHET, 2014, Computation of rare transitions in the barotropic quasi-geostrophic equations, New J. Phys. 17 (2015) 015009,  [.pdf]

[37] F. BOUCHET, C. NARDINI, and T. TANGARIFE, 2014, Stochastic averaging, large deviations, and random transitions for the dynamics of 2D and geostrophic turbulent vortices., Fluid Dyn. Res. 46 (2014) 061416.

[36] F. BOUCHET, J. LAURIE, and O. ZABORONSKI, 2014, Langevin dynamics, large deviations and instantons for the quasi-geostrophic model and two-dimensional Euler equations, accepted for publication in J. Stat. Phys (May 2014), arXiv preprint arXiv:1403.0216 [.pdf]

[35] S. THALABARD, B. DUBRULLE, and F. BOUCHET, 2014, Statistical mechanics of the 3D axisymmetric Euler equations in a Taylor-Couette geometry. J. Stat. Mech.: Theory and Experiment, 1, P01005. [.pdf]

[34] F BOUCHET, C NARDINI, T TANGARIFE, 2013, Kinetic theory of jet dynamics in the stochastic barotropic and 2D Navier-Stokes equations, J. Stat. Phys., Volume 153, Issue 4, pp 572-625 [.pdf]

[33] M. POTTERS, T. VAILLANT, F. BOUCHET, 2013, Sampling microcanonical measures of the 2D Euler equations using Creutz’s algorithm: a phase transition from disorder to order when energy is increased, , Journal of Statistical Mechanics: Theory and Experiment, 2013(02), P02017 [.pdf]

[32] C. NARDINI, S. GUPTA, S. RUFFO, T. DAUXOIS, and F. BOUCHET, 2012, Kinetic theory of nonequilibrium stochastic long-range systems: phase transition and bistability, J. Stat. Mech., 12, P12010. [.pdf]

[31] F. BOUCHET, and H. TOUCHETTE, 2012, Non-classical large deviations for a noisy system with non-isolated attractors, J. Stat. Mech., P05028 [.pdf]

[30] C. NARDINI, S. GUPTA, S. RUFFO, T. DAUXOIS, and F. BOUCHET, 2012, Kinetic theory for non-equilibrium stationary states in long-range interacting systems,  J. Stat. Mech., L01002 [.pdf]

[29] F BOUCHET, and A. VENAILLE, 2012, Statistical mechanics of two-dimensional and geophysical flows, Physics Reports, 515, 5, June 2012, 227–295 [.pdf]

[28] B.,T. NADIGA, and F. BOUCHET, 2011, The equivalence of the Lagrangian-Averaged Navier-Stokes-alpha Model and the Rational LES model in two dimensions, Phys. Fluids 23, 095105 [.pdf]

[27] A. VENAILLE, and F. BOUCHET, 2011, Ocean rings and jets as statistical equilibrium states, Journal of Physical Oceanography, 41, 10, 1860-1873. [.pdf]

[26] A. VENAILLE, and F. BOUCHET, 2011, Solvable phase diagrams and ensemble inequivalence for two-dimensional and geophysical turbulent flows, J. Stat. Phys. 143, 2, 346-380 [.pdf]

[25] A. OLIVETTI, J. BARRE, B. MARCOS, F. BOUCHET, and R. KAISER, 2011, Breathing dynamics for systems of interacting particles in the microcanonical and canonical descriptions, Transport Theory and Statistical Physics, 39, 5-7, 524-551 [.pdf ]

[24] F. BOUCHET, S. GUPTA, and D. MUKAMEL, 2010, Thermodynamics and dynamics of systems with long-range interactions, 2010, proceedings of the summer School FPSPXII, Physica A, Volume 389, Issue 20, 15 October 2010, Pages 4389-4405 [.pdf]

[23]
F. BOUCHET, and M. CORVELLEC, 2010, Invariant measures of the of the 2D Euler and Vlasov equations, J. Stat. Mech., 8, 08021 [.pdf]

[22] F. Bouchet and H. Morita, Large time behavior and asymptotic stability of the two-dimensional Euler and linearized Euler equations, ArXiv e-prints (2009). [ .pdf ]

[21] A. Olivetti, J. Barré, B. Marcos, F. Bouchet, and R. Kaiser, Breathing mode for systems of interacting particles, to be published in Phys. Rev. Lett. 103, 224301,(2009). [ .pdf ]

[20] A. Venaille and F. Bouchet, Statistical Ensemble Inequivalence and Bicritical Points for Two-Dimensional Flows and Geophysical Flows, Physical Review Letters 102 (2009), no. 10, 104501-+. [ DOI | .pdf ]

[19] F. Bouchet and E. Simonnet, Random Changes of Flow Topology in Two-Dimensional and Geophysical Turbulence, Physical Review Letters 102 (2009), no. 9, 094504-+. [ DOI | .pdf ]

[18] F. Bouchet, Simpler variational problems for statistical equilibria of the 2d euler equation and other systems with long range interactions, Physica D Nonlinear Phenomena 237 (2008), 1976-1981. [ DOI | .pdf ]

[17] F. Bouchet, T. Dauxois, D. Mukamel, and S. Ruffo, Phase space gaps and ergodicity breaking in systems with long-range interactions, Phys. Rev. E 77 (2008), no. 1, 011125-+. [ DOI | .pdf ]

[16] K. Jain, F. Bouchet, and D. Mukamel, Relaxation times of unstable states in systems with long range interactions, Journal of Statistical Mechanics: Theory and Experiment 11 (2007), 8-+. [ DOI | .pdf ]

[15] Y. Y. Yamaguchi, F. Bouchet, and T. Dauxois, Algebraic correlation functions and anomalous diffusion in the Hamiltonian mean field model, J. Stat. Mech. 1 (2007), 20-+. [ DOI | .pdf ]

[14] J. Barré, F. Bouchet, T. Dauxois, S. Ruffo, and Y. Y. Yamaguchi, The Vlasov equation and the Hamiltonian mean-field model, Physica A 365 (2006), 177-183. [ DOI | .pdf ]

[13] F. Bouchet, T. Dauxois, and S. Ruffo, Controversy about the applicability of Tsallis statistics to the HMF model, Europhysics News 37 (2006), 9-10. [ .pdf ]

[12] F. Bouchet and T. Dauxois, Prediction of anomalous diffusion and algebraic relaxations for long-range interacting systems, using classical statistical mechanics, Phys. Rev. E 72 (2005), no. 4, 045103-+. [ DOI | .pdf ]

[11] F. Bouchet and J. Barré, Classification of Phase Transitions and Ensemble Inequivalence, in Systems with Long Range Interactions, Journal of Statistical Physics 118 (2005), 1073-1105. [ DOI | .pdf ]

[10] J. Barré, F. Bouchet, T. Dauxois, and S. Ruffo, Large Deviation Techniques Applied to Systems with Long-Range Interactions, Journal of Statistical Physics 119 (2005), 677-713. [ DOI | .pdf ]

[9] P. H. Chavanis, J. Vatteville, and F. Bouchet, Dynamics and thermodynamics of a simple model similar to self-gravitating systems: the HMF model, European Physical Journal B 46 (2005), 61-99. [ DOI | .pdf ]

[8] P. H. Chavanis and F. Bouchet, On the coarse-grained evolution of collisionless stellar systems, Astronomy and Astrophysics 430 (2005), 771-778. DOI | .pdf ]

[7] T. Tatekawa, F. Bouchet, T. Dauxois, and S. Ruffo, Thermodynamics of the self-gravitating ring model, Phys. Rev. E 71 (2005), no. 5, 056111-+.  DOI | .pdf ]

[6] F. Bouchet, Stochastic process of equilibrium fluctuations of a system with long-range interactions, Phys. Rev. E 70 (2004), no. 3, 036113-+. [ DOI | .pdf ]

[5] Y. Y. Yamaguchi, J. Barré, F. Bouchet, T. Dauxois, and S. Ruffo, Stability criteria of the Vlasov equation and quasi-stationary states of the HMF model, Physica A Statistical Mechanics and its Applications 337 (2004), 36-66. [ DOI | .pdf ]

[4] F. Bouchet, F. Cecconi, and A. Vulpiani, Minimal Stochastic Model for Fermi's Acceleration, Physical Review Letters 92 (2004), no. 4, 040601-+. [ DOI | .pdf ]

[1Ter] F. Bouchet, Parameterization of two dimensionnal turbulence using an anisotropic maximum entropy principle, cond-mat/0305205 (2003). [ .pdf ]

[1Bis] F. Bouchet and T. Dumont, Emergence of the great red spot of jupiter from random initial conditions, cond-mat/0305206 (2003). [ .pdf ]

[3] J. Barré, F. Bouchet, T. Dauxois, and S. Ruffo, Birth and long-time stabilization of out-of-equilibrium coherent structures, European Physical Journal B 29 (2002), 577-591. [ DOI | .pdf ]

[2] J. Barré, F. Bouchet, T. Dauxois, and S. Ruffo, Out-of-Equilibrium States as Statistical Equilibria of an Effective Dynamics in a System with Long-Range Interactions, Phys. Rev. Lett. 89 (2002), no. 11, 110601-+. [ DOI | .pdf ]

[1] F. Bouchet and J. Sommeria, Emergence of intense jets and Jupiter's Great Red Spot as maximum-entropy structures, Journal of Fluid Mechanics 464 (2002), 165-207. [ DOI | .pdf ]



Preprints

[1]
M CORVELLEC, F BOUCHET, A complete theory of low-energy phase diagrams for two-dimensional turbulence steady states and equilibria, arXiv:1207.1966 [ .pdf ]



Books
I am author and editor of the book
Peyresq lectures on nonlinear
                                      phenomena amazon
F. Bouchet, B. Audoly, and J.A. Sepulcre, Peyresq lectures on nonlinear phenomena, World scientist.



Cédric Villani, field medalist, was kind enough to report our discussion related to Landau damping in one chapter of his book "birth  of a theorem" ("Théorème vivant" pour l'édition française)

Birth of a theorem by Cedric
                                  Villani

Book chapters




 ISSI                  

[5]
F. BOUCHET, and A. VENAILLE, Zonal flows as statistical equilibria, under review for publication in the book Zonal Flows, edited by Boris Galperin, and to be published by Cambridge University Press. HAL, [.pdf]




 
ISSI 
                  

[4] F. BOUCHET, C. NARDINI AND T. TANGARIFE, Kinetic theory and quasilinear theories of jet dynamics, under review for publication in the book Zonal Flows, edited by Boris Galperin, and to be published by Cambridge University Press.
HAL, [.pdf]



Dynamics and themrodynamics of
                                  systems with long range interactions                     
[3] F. BOUCHET, C. NARDINI, T. TANGARIFE, 2014, Non-equilibrium statistical mechanics of the stochastic Navier–Stokes equations and geostrophic turbulence, in 5th Warsaw School of Statistical Physics, Editors B. Cichocki, M. Napiorkowski and J. Piasecki, and  HAL, [.pdf]




Dynamics and themrodynamics of
                                  systems with long range interactions                     
[2] F. BOUCHET, and A. VENAILLE, 2012, Applications of Equilibrium Statistical Mechanics to Atmospheres and Oceans, in Peyresq Lectures on Nonlinear Phenomena, vol 3, World Scientific edition, [.pdf]



Dynamics and themrodynamics of
                                    systems with long range
                                    interactions                     
[1] F. BOUCHET, J. BARRE, and A. VENAILLE, 2008, Equilibrium and out of equilibrium phase transitions in systems with long range interactions and in 2D flows, in in DYNAMICS AND THERMODYNAMICS OF SYSTEMS WITH LONG RANGE INTERACTIONS: Theory and Experiments, AIP Conf. Proc., 970, pp. 117-152, arXiv:0802.2670, [.pdf]




Conference proceedings
To be completed


Posters 


Poster Jupiter's Great Red Spot as a Statistical Equilibrium

Poster Out of Equilibrium Phase Transitions and Flow Bistability

Poster Ocean Jets and Vortices as Statistical Equilibria


Colloquium, research lectures and seminars

Turbulence and large deviation theory: Seminar given during the Workshop on Instantons and Extreme Events in Turbulence and Dynamical Systems, held at Rio de Janeiro in December 2015 [movie] [slides]

Large deviation theory for atmosphere jets: Seminar given during the Workshop on Instantons and Extreme Events in Turbulence and Dynamical Systems, held at Rio de Janeiro in December 2015 [movie] [slides]

June 2014: Seminar at the conference "Mathematical Hydrodynamics" at Ecole Normale Supérieure in Paris

This is an example of a seminar about large deviations in geophysical fluid dynamics intended at researchers in mathematics: Abrupt transitions and large deviations in geophysical turbulent flows

See the movie on Vimeo.
Slides.

February 2014: Lectures at Leuven's university
Slides lecture 1.
Slides lecture 2.
Slides lecture 3.

Warsaw school of statistical physics lecture notes


June 2013: Lectures at the 5th Warsaw school of statistical physics (at Kazimierz).
Slides lecture 1.
Slides lecture 2.
Slides lecture 3.
Lecture notes


Lectures given at the spring school
"Kinetic Theory and Fluid Mechanics" :
    I) Introduction

    II) Equilibrium Statistical mechanics of the 2D Euler equations

    III) Kinetic theory of the 2D Euler and stochastic Navier-Stokes equations

    IV) Non-equilibrium phase transitions and large deviations in the 2D stochastic Navier-Stokes equations