Articles and preprints

[53] Barré, J., Dobson, P., Ottobre, M. & Zatorska, E. (2020) Fast non mean-field networks: uniform in time averaging, accepted in Siam Journal on Mathematical Analysis. arXiv:2003.14230

[52] Barré, J., Métivier, D., & Yamaguchi, Y. Y. (2020). Towards a classification of bifurcations in Vlasov equations. Physical Review E 102, 052208  arXiv:1909.11344. Supplemental material.

[51] V. Mancois, J. Barré, C.C. Kwong, A. Olivetti, P. Viot, D. Wilkowski (2020) Anisotropic long-range interaction inbvestigated with cold atoms. Phys. Rev. A 102, 013311. arxiv:2006.14848

[50] Barré, J., Bernardin, C., Chétrite, R., Chopra, Y., & Mariani, M. (2019). From fluctuating kinetics to fluctuating hydrodynamics: a Gamma-convergence of large deviations functionals  approach. Journal of Statistical Physics 180, 1095-1127. arXiv:1910.04026.

[49] Barré, J., Degond, P., Peurichard, D., & Zatorska, E. (2019). Modelling pattern formation through differential repulsion. Networks and Heterogeneous media, 15 (2020), pp. 307-352.  arXiv:1906.00704.

[48] Barre, J., Kaiser, R., Labeyrie, G., Marcos, B., & Métivier, D. (2019). Towards a measurement of the Debye length in very large Magneto-Optical traps. Physical Review A, 100(1), 013624. arXiv:1808.02098

[47] Barré, J., Crisan, D., & Goudon, T. (2019). Two-dimensional pseudo-gravity model: Particles motion in a non-potential singular force. Transactions of the American Mathematical Society 371 (4), 2923-2962. arXiv:1610.01296

[46] Barré, J. and Mangeolle, L. (2018).“Condensation with two constraints and disorder” J. Stat. Mech. 043211. arXiv:1801.05336

[45] Barré, J., & Métivier, D. (2018). Vlasov-Fokker-Planck equation: stochastic stability of resonances and unstable manifold expansion. Nonlinearity 31 (10), 4667. arXiv preprint arXiv:1703.01668

[44] Barré, J., Bernardin, C., & Chétrite, R. (2018). Density large deviations for multidimensional stochastic hyperbolic conservation laws, Journal of statistical physics 170 (3), 466-491. arXiv:1702.03769

[43] J. Barré, M. Lelarge and D. Mitsche (2018) On rigidity, orientability and cores in random graphs with sliders, Random Structures and Algorithms 52 (3), 419-453. arXiv:1412.1004

[42] Barré, J., de la Plata, J. A. C., Degond, P., Peurichard, D., & Zatorska, E. (2017). “Particle interactions mediated by dynamical networks: assessment of macroscopic descriptions” Journal of nonlinear science, 2018, vol. 28, no 1, p. 235-268. arXiv:1701.01435

[41] Barré, J., Degond, P., & Zatorska, E. (2017). “Kinetic theory of particle interactions mediated by dynamical networks” Multiscale Modeling & Simulation, 15 (3), 1294-1323. arXiv:1607.01975

[40] Barré, J., & Métivier, D. (2016). “Bifurcations and singularities for coupled oscillators with inertia and frustration” Physical review letters, 117(21), 214102.
arXiv:1605.02990

[39] Barré, J., Métivier, D., & Yamaguchi, Y. Y. (2016). “Trapping scaling for bifurcations in the Vlasov systems” Physical Review E, 93(4), 042207.
arXiv:1511.07645

[38] J. Barré, D. Chiron, T. Goudon and N. Masmoudi (2015) “From Vlasov-Poisson and Vlasov-Poisson-Fokker-Planck Systems to Incompressible Euler Equations: the case with finite charge”, Journal de l’Ecole Polytechnique – Mathématiques 2, 247-296. arXiv:1502.07890

[37] J. Barré, Y. Y Yamaguchi (2015) “On the neighborhood of an inhomogeneous stable stationary solution of the Vlasov equation – Case of an attractive cosine potential” , Journal of Mathematical Physics 56 (8), 081502. arXiv:1311.3182

[36] S. Ogawa, J. Barré, H. Morita and Y. Y Yamaguchi “Dynamical pattern formations in two dimensional fluid and Landau pole bifurcation “, Phys. Rev. E89, 063007 (2014). arXiv:1401.6865

[35] J. Barré, R. Chétrite, M. Muratori, F. Peruani Motility-induced phase separation of active particles in the presence of velocity alignment, accepted in J. Stat. Phys. , 2014. arXiv:1403.2364

[34] J. Barré, B. Marcos, D. Wilkowski “Non equilibrium phase transition with gravitational-like interaction in a cloud of cold atoms”, Phys. Rev. Lett. 112, 133001 (2014). arXiv:1312.2436

[33] J. Barré, S. Gupta “Classical Heisenberg spins with long-range interactions: Relaxation to equilibrium for finite systems” , J. Stat. Mech. P02017 (2014). arXiv:1311.3471

[32] J. Barré, Y. Y Yamaguchi “On algebraic damping close to inhomogeneous Vlasov equilibria in multi-dimensional spaces” , J. Phys. A: Math. Theor. 46 (2013) 225501.
cond-mat/1210.8040
[31] M. Chalony, J. Barré, B. Marcos, A. Olivetti, David Wilkowski “Long-range gravitational-like interaction in a neutral atomic cold gas”, Phys. Rev. A 87, 013401 (2013).
cond-mat/1202.1258
[30] J. Barré “Combinatorial models of rigidity and renormalization”, J. Stat. Phys. 146, 359-377 (2012).
cond-mat/1109.0719
[29] J. Barré, A. Raybaut, D. Torre “Banks connectivity, credit risk transfer and stability of the banking system”, Brussels Economic Review 55, 1 (2012).
[28] J. Barré, A. Olivetti and Y.Y. Yamaguchi “Algebraic damping in the one-dimensional Vlasov equation”, J. Phys. A 44, 405502 (2011).
cond-mat/1104.1890
[27] A. Olivetti, J. Barré, B. Marcos, F. Bouchet and R. Kaiser “Breathing Dynamics for Systems of Interacting Particles in the Microcanonical and Canonical Descriptions”, Transp. Theo. and Stat. Phys. 39, 524 (2010).
[26] J. Barré, A. Olivetti and Y.Y. Yamaguchi “Dynamics of perturbations around inhomogeneous backgrounds in the HMF model”, J. Stat. Mech. P07005 (2010).
[25] J. Barré, M. Hauray, P.E. Jabin “Stability of trajectories for $N$-particles dynamics with singular potential”, J. Stat. Mech. P08002 (2010).
cond-mat/1004.2177
[24] J. Barré ” Hierarchical models of rigidity percolation”, Phys. Rev. E 80, 061108 (2009).
cond-mat/0907.4233
[23] A. Olivetti, J. Barré, B. Marcos, R. Kaiser and F. Bouchet “Breathing mode for systems of interacting particles”, Phys. Rev. Lett. 103, 224301 (2009).
cond-mat/0907.4423
[22] J. Barré, A. Ciani, D. Fanelli, F. Bagnoli and S. Ruffo “Finite Size Effects for the Ising Model on Random Graphs with Varying Dilution”, Physica A 308, 3413 (2009).
cond-mat/0902.0564
[21] J. Barré and Y. Y. Yamaguchi “Small traveling clusters in attractive and repulsive Hamiltonian mean-field models”, Phys. Rev. E 79, 036208 (2009).
[20] J. Barré and P. E. Jabin “Free Transport Limit for N-particles Dynamics with Singular and Short Range Potential”, J. Stat. Phys. 131, 1085 (2008).
[19] J. Barré “Retrieving information from a noisy ‘knowledge network'”, J. Stat. Mech. P08015 (2007).
cond-mat/0704.3983
[18] J. Barré, B. Goncalves, “Ensemble inequivalence in random graphs” , Physica A 386, 212-218 (2007).
cond-mat/0705.2385
[17] A. Antoniazzi, D. Fanelli, J. Barré, P.H. Chavanis, T. Dauxois, S. Ruffo, “A maximum entropy principle explains quasi-stationary states in systems with long-range interactions”, Phys. Rev. E 75, 011112 (2007).
cond-mat/0603813
[16] Olivier Rivoire, Julien Barré “Exactly solvable models of adaptive networks”, Phys. Rev. Lett. 97, 148701 (2006).
cond-mat/0606754
[15] Julien Barré, Freddy Bouchet, Thierry Dauxois, Stefano Ruffo, Yoshiyuki Y. Yamaguchi “The Vlasov equation and the Hamiltonian Mean-Field model”, Physica A 365, 177, 2005.
cond-mat/0511070
[14] J. Barré, A. R. Bishop, T. Lookman, A. Saxena ” Oscillating elastic defects: competition and frustration”, Phys. Rev. B 74, 024104, 2006.
cond-mat/0508761
[13] Giuseppe Celardo, Julien Barré, Fausto Borgonovi, Stefano Ruffo “Time scale for chaotic driven magnetic reversal in a mean field Heisenberg model”, Phys. Rev. E 73, 011108, 2005.
cond-mat/0410119
[12] Julien Barré, F. Bouchet, T. Dauxois, S. Ruffo, “Large deviation techniques applied to systems with long range interactions”, J. Stat. Phys. 119, 677, 2005. cond-mat/0406358 .
[11] Julien Barré, Alan Bishop, Turab Lookman, Avadh Saxena “On adaptability and “intermediate phase” in randomly connected networks”, Phys. Rev. Lett. 94, 208701, 2005.
cond-mat/0408385.
[10] Julien Barré, Alan Bishop, Turab Lookman, Avadh Saxena “The cavity method for the rigidity transition”, J. Stat. Phys. 118, 1057 (2005). ps.
[9] J. Barré, T. Dauxois, G. De Ninno, D. Fanelli, S. Ruffo, “Statistical theory of high-gain Free Electron Laser saturation”, Phys. Rev. E. 69, 045501 (2004).
cond-mat/0310754 .
[8] Y. Yamaguchi, J. Barré, F. Bouchet, T. Dauxois, S. Ruffo, “Stability criteria of the Vlasov equation and quasi stationary states of the HMF model”, Physica A 337, 36 (2004).
cond-mat/0312480
[7] Freddy Bouchet, Julien Barré “Classification of phase transitions and ensemble inequivalence, in systems with long range interactions”, J. Stat. Phys. 118, 1073 (2005).
cond-mat/0303307 .
[6] Julien Barré, Freddy Bouchet, Thierry Dauxois, Stefano Ruffo “Birth and long-time stabilization of out-of-equilibrium coherent structures”, European Physical Journal B 29, 577 (2002).
cond-mat/0203013
[5] Julien Barré, Freddy Bouchet, Thierry Dauxois, Stefano Ruffo “Out-of-equilibrium states as statistical equilibria of an effective dynamics structures”, Physical Review Letters 89, 110601 (2002).
cond-mat/0204407.
[4] Julien Barré “Microcanonical solution of lattice models with long-range interaction”, Physica A 305, 172 (2002).
cond-mat/0110244.
[3] Julien Barré, David Mukamel, Stefano Ruffo “Inequivalence of ensembles in a system with long range interactions”, Physical Review Letters 87, 030601 (2001).
cond-mat/0102036.
[2] Julien Barré, Thierry Dauxois, Stefano Ruffo “Clustering in a Hamiltonian with repulsive long range interactions”, Physica A 295, pp.254 (2001).
cond-mat/0101403.
[1] Julien Barré, Thierry Dauxois “Lyapunov exponent as a dynamical indicator of a phase transition”, Europhysics Letters 55 (2), pp.164-170 (2001).
cond-mat/0102327.

“Habilitation à diriger les recherches”

Dissertation.

PhD Thesis

Summary of my thesis, the full dissertation (in French).

Book Chapters

[2] Julien Barré, Alan Bishop, Turab Lookman and Avadh Saxena “Random bond models of the intermediate phase in network forming glasses” in “Rigidity and Boolchand intermediate phases in nanomaterials”, Eds. M. Micoulaut, M. Popescu, INOE Publishing House (2009).
[1] Julien Barré, David Mukamel, Stefano Ruffo “Inequivalence of ensembles in mean-field models of magnetism” Chapter of the “Lecture Notes in Physics” volume: “Dynamics and Thermodynamics of Systems with Long Range Interactions”, T.~Dauxois, S.~Ruffo, E.~Arimondo, M.~Wilkens Eds., Lecture Notes in Physics Vol. 602, Springer (2002)
cond-mat/0209357 .

Proceedings

[6] Julien Barré, Alain Olivetti, Yoshiyuki Y. Yamaguchi Landau damping and inhomogeneous reference states submitted to Comptes Rendus de Physique (2014).
hal preprint.
[5] F. Bouchet, J. Barré, and A. Venaille “Equilibrium and out-of-equilibrium phase transitions in systems with long range interactions and in 2D flows” in “Dynamics and thermodynamics of systems with long range interactions: theory and experiments”, Eds. A. Campa, A. Giansanti,G. Morigi and F. Sylos-Labini AIP Conference Proceedings (2007).
[4] A. Antoniazzi, J. Barré, T. Dauxois, G. De Ninno, D. Fanelli, S. Ruffo, “Free Electron Laser as a paradigmatic example of systems with long-range interactions”; Berlin FEL Conference (2006).
[3] J. Barré, F. Bouchet, “Statistical mechanics and long range interactions” Comptes Rendus de Physique 7 , 414 (2006).
[2] F. Bouchet, J.~Barré, “Statistical mechanics of systems with long range interactions”, Journal of Physics: Conference Series 31, 18 (2006).
[1] Julien Barré, Freddy Bouchet ” Mean-Field justified by large deviations results in long-range interacting systems” Proceedings of the conference Dynamics and thermodynamics of systems with long range interactions, Les Houches, France, February 18-22 2002, Eds. T. Dauxois, E. Arimondo, S. Ruffo, M. Wilkens.

Scientific popularization journals

[3] J. Barré “Percolation de la rigidité” La Gazette des Mathématiciens 142, 7-18 (2014).
[2] J. Barré “Maths au maquis”–Images des Mathématiques, CNRS, 2014.
[1] J. Barré “Rigidité et percolation”–Images des Mathématiques, CNRS, 2014.