[53] Barr\u00e9, J., Dobson, P., Ottobre, M. & Zatorska, E. (2020) Fast non mean-field networks: uniform in time averaging<\/strong>, accepted in Siam Journal on Mathematical Analysis.<\/em> arXiv:2003.14230<\/a><\/p>\n [52] Barr\u00e9, J., M\u00e9tivier, D., & Yamaguchi, Y. Y. (2020). Towards a classification of bifurcations in Vlasov equations. <\/strong>Physical Review E 102, 052208\u00a0 <\/i>arXiv:1909.11344<\/a><\/i>. Supplemental material.<\/a><\/p>\n [51] V. Mancois, J. Barr\u00e9, C.C. Kwong, A. Olivetti, P. Viot, D. Wilkowski (2020) Anisotropic long-range interaction inbvestigated with cold atoms.<\/strong> Phys. Rev. A<\/em> 102, 013311. arxiv:2006.14848<\/a><\/p>\n [50] Barr\u00e9, J., Bernardin, C., Ch\u00e9trite, R., Chopra, Y., & Mariani, M. (2019). From fluctuating kinetics to fluctuating hydrodynamics<\/strong>: a Gamma-convergence of large deviations functionals\u00a0 approach. <\/strong>Journal of Statistical Physics<\/em> 180, <\/strong>1095-1127. arXiv:1910.04026<\/a><\/i>.<\/p>\n [49] Barr\u00e9, J., Degond, P., Peurichard, D., & Zatorska, E. (2019). Modelling pattern formation through differential repulsion. <\/strong>Networks and Heterogeneous media, 15 (2020), pp. 307-352<\/span>.\u00a0<\/strong> arXiv:1906.00704<\/i>.<\/a><\/p>\n [48] Barre, J., Kaiser, R., Labeyrie, G., Marcos, B., & M\u00e9tivier, D. (2019). Towards a measurement of the Debye length in very large Magneto-Optical traps.<\/strong> Physical Review A<\/i>, 100<\/i>(1), 013624. arXiv:1808.02098<\/em> <\/a><\/p>\n [47] Barr\u00e9, J., Crisan, D., & Goudon, T. (2019). Two-dimensional pseudo-gravity model: Particles motion in a non-potential singular force. <\/b>Transactions of the American Mathematical Society<\/em> 371 (4), 2923-2962. arXiv:1610.01296<\/a><\/p>\n [46] Barr\u00e9, J. and Mangeolle, L. (2018).“Condensation with two constraints and disorder”<\/b> J. Stat. Mech. 043211. arXiv:1801.05336<\/a><\/p>\n [45] Barr\u00e9, J., & M\u00e9tivier, D. (2018). Vlasov-Fokker-Planck equation: stochastic stability of resonances and unstable manifold expansion.\u00a0<\/b>Nonlinearity 31 (10), 4667. arXiv preprint arXiv:1703.01668<\/a><\/p>\n [44] Barr\u00e9, J., Bernardin, C., & Ch\u00e9trite, R. (2018). Density large deviations for multidimensional stochastic hyperbolic conservation laws, <\/b>Journal of statistical physics<\/em> 170 (3), 466-491. arXiv:1702.03769<\/a><\/p>\n [43] J. Barr\u00e9, M. Lelarge and D. Mitsche (2018) On rigidity, orientability and cores in random graphs with sliders<\/b>, Random Structures and Algorithms<\/em> 52 (3), 419-453. arXiv:1412.1004<\/a><\/p>\n [42] Barr\u00e9, 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<\/i><\/b>, 2018, vol. 28, no 1, p. 235-268. arXiv:1701.01435<\/a><\/p>\n [41] Barr\u00e9, J., Degond, P., & Zatorska, E. (2017). “Kinetic theory of particle interactions mediated by dynamical networks” <\/b>Multiscale Modeling & Simulation<\/i>, 15 (3), 1294-1323. arXiv:1607.01975<\/a><\/p>\n [40] Barr\u00e9, J., & M\u00e9tivier, D. (2016). “Bifurcations and singularities for coupled oscillators with inertia and frustration”<\/b> Physical review letters, 117(21), 214102. [39] Barr\u00e9, J., M\u00e9tivier, D., & Yamaguchi, Y. Y. (2016). “Trapping scaling for bifurcations in the Vlasov systems”<\/b> Physical Review E<\/em>, 93(4), 042207. [38] J. Barr\u00e9, 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”<\/b>, Journal de l’Ecole Polytechnique – Math\u00e9matiques<\/em> 2, 247-296. arXiv:1502.07890<\/a><\/p>\n [37] J. Barr\u00e9, Y. Y Yamaguchi (2015) “On the neighborhood of an inhomogeneous stable stationary solution of the Vlasov equation – Case of an attractive cosine potential” <\/b>, Journal of Mathematical Physics 56 (8), 081502. arXiv:1311.3182<\/a><\/p>\n [36] S. Ogawa, J. Barr\u00e9, H. Morita and Y. Y Yamaguchi “Dynamical pattern formations in two dimensional fluid and Landau pole bifurcation “<\/b>, Phys. Rev. E<\/i>89<\/b>, 063007 (2014). arXiv:1401.6865<\/a><\/p>\n [35] J. Barr\u00e9, R. Ch\u00e9trite, M. Muratori, F. Peruani Motility-induced phase separation of active particles in the presence of velocity alignment<\/b>, accepted in J. Stat. Phys.<\/i> , 2014. arXiv:1403.2364<\/a><\/p>\n [34] J. Barr\u00e9, B. Marcos, D. Wilkowski “Non equilibrium phase transition with gravitational-like interaction in a cloud of cold atoms”<\/b>, Phys. Rev. Lett.<\/i> 112<\/b>, 133001 (2014). arXiv:1312.2436<\/a><\/p>\n [33] J. Barr\u00e9, S. Gupta “Classical Heisenberg spins with long-range interactions: Relaxation to equilibrium for finite systems” <\/b>, J. Stat. Mech.<\/i> P02017 (2014). arXiv:1311.3471 <\/a><\/p>\n [32] J. Barr\u00e9, Y. Y Yamaguchi “On algebraic damping close to inhomogeneous Vlasov equilibria in multi-dimensional spaces” <\/b>, J. Phys. A: Math. Theor.<\/i> 46<\/b> (2013) 225501. Dissertation<\/a>.<\/p>\n Summary of my thesis<\/a>, the full dissertation<\/a> (in French).<\/p>\n [2] Julien Barr\u00e9, Alan Bishop, Turab Lookman and Avadh Saxena “Random bond models of the intermediate phase in network forming glasses”<\/b> in “Rigidity and Boolchand intermediate phases in nanomaterials”, Eds. M. Micoulaut, M. Popescu, INOE Publishing House (2009). [6] Julien Barr\u00e9, Alain Olivetti, Yoshiyuki Y. Yamaguchi Landau damping and inhomogeneous reference states<\/b> submitted to Comptes Rendus de Physique<\/i> (2014). [3] J. Barr\u00e9 “Percolation de la rigidit\u00e9”<\/b> La Gazette des Math\u00e9maticiens<\/i> 142<\/b>, 7-18 (2014). Articles and preprints [53] Barr\u00e9, J., Dobson, P., Ottobre, M. & Zatorska, E. (2020) Fast non mean-field networks: uniform in … More Publications and preprints<\/span>
\narXiv:1605.02990<\/a><\/p>\n
\narXiv:1511.07645<\/a><\/p>\n
\ncond-mat\/1210.8040<\/a>
\n[31] M. Chalony, J. Barr\u00e9, B. Marcos, A. Olivetti, David Wilkowski “Long-range gravitational-like interaction in a neutral atomic cold gas”<\/b>, Phys. Rev. A<\/i> 87<\/b>, 013401 (2013).
\ncond-mat\/1202.1258<\/a>
\n[30] J. Barr\u00e9 “Combinatorial models of rigidity and renormalization”<\/b>, J. Stat. Phys. <\/i> 146<\/b>, 359-377 (2012).
\ncond-mat\/1109.0719<\/a>
\n[29] J. Barr\u00e9, A. Raybaut, D. Torre “Banks connectivity, credit risk transfer and stability of the banking system”<\/b>, Brussels Economic Review<\/i> 55<\/b>, 1 (2012).
\n[28] J. Barr\u00e9, A. Olivetti and Y.Y. Yamaguchi “Algebraic damping in the one-dimensional Vlasov equation”<\/b>, J. Phys. A<\/i> 44<\/b>, 405502 (2011).
\ncond-mat\/1104.1890<\/a>
\n[27] A. Olivetti, J. Barr\u00e9, B. Marcos, F. Bouchet and R. Kaiser “Breathing Dynamics for Systems of Interacting Particles in the Microcanonical and Canonical Descriptions”<\/b>, Transp. Theo. and Stat. Phys.<\/i> 39<\/b>, 524 (2010).
\n[26] J. Barr\u00e9, A. Olivetti and Y.Y. Yamaguchi “Dynamics of perturbations around inhomogeneous backgrounds in the HMF model”<\/b>, J. Stat. Mech.<\/i> P07005 (2010).
\n[25] J. Barr\u00e9, M. Hauray, P.E. Jabin “Stability of trajectories for $N$-particles dynamics with singular potential”<\/b>, J. Stat. Mech.<\/i> P08002 (2010).
\ncond-mat\/1004.2177<\/a>
\n[24] J. Barr\u00e9 ” Hierarchical models of rigidity percolation”<\/b>, Phys. Rev. E<\/i> 80<\/b>, 061108 (2009).
\ncond-mat\/0907.4233<\/a>
\n[23] A. Olivetti, J. Barr\u00e9, B. Marcos, R. Kaiser and F. Bouchet “Breathing mode for systems of interacting particles”<\/b>, Phys. Rev. Lett.<\/i> 103<\/b>, 224301 (2009).
\ncond-mat\/0907.4423<\/a>
\n[22] J. Barr\u00e9, A. Ciani, D. Fanelli, F. Bagnoli and S. Ruffo “Finite Size Effects for the Ising Model on Random Graphs with Varying Dilution”<\/b>, Physica A<\/i> 308<\/b>, 3413 (2009).
\ncond-mat\/0902.0564<\/a>
\n[21] J. Barr\u00e9 and Y. Y. Yamaguchi “Small traveling clusters in attractive and repulsive Hamiltonian mean-field models”<\/b>, Phys. Rev. E<\/i> 79<\/b>, 036208 (2009).
\n[20] J. Barr\u00e9 and P. E. Jabin “Free Transport Limit for N-particles Dynamics with Singular and Short Range Potential”<\/b>, J. Stat. Phys.<\/i> 131<\/b>, 1085 (2008).
\n[19] J. Barr\u00e9 “Retrieving information from a noisy ‘knowledge network'”<\/b>, J. Stat. Mech.<\/i> P08015<\/b> (2007).
\ncond-mat\/0704.3983<\/a>
\n[18] J. Barr\u00e9, B. Goncalves, “Ensemble inequivalence in random graphs” <\/b>, Physica A<\/i> 386<\/b>, 212-218 (2007).
\ncond-mat\/0705.2385<\/a>
\n[17] A. Antoniazzi, D. Fanelli, J. Barr\u00e9, P.H. Chavanis, T. Dauxois, S. Ruffo, “A maximum entropy principle explains quasi-stationary states in systems with long-range interactions”<\/b>, Phys. Rev. E<\/i> 75<\/b>, 011112 (2007).
\ncond-mat\/0603813<\/a>
\n[16] Olivier Rivoire, Julien Barr\u00e9 “Exactly solvable models of adaptive networks”<\/b>, Phys. Rev. Lett.<\/i> 97<\/b>, 148701 (2006).
\ncond-mat\/0606754<\/a>
\n[15] Julien Barr\u00e9, Freddy Bouchet, Thierry Dauxois, Stefano Ruffo, Yoshiyuki Y. Yamaguchi “The Vlasov equation and the Hamiltonian Mean-Field model”<\/b>, Physica A<\/i> 365<\/b>, 177, 2005.
\ncond-mat\/0511070<\/a>
\n[14] J. Barr\u00e9, A. R. Bishop, T. Lookman, A. Saxena ” Oscillating elastic defects: competition and frustration”<\/b>, Phys. Rev. B<\/i> 74<\/b>, 024104, 2006.
\ncond-mat\/0508761<\/a>
\n[13] Giuseppe Celardo, Julien Barr\u00e9, Fausto Borgonovi, Stefano Ruffo “Time scale for chaotic driven magnetic reversal in a mean field Heisenberg model”<\/b>, Phys. Rev. E<\/i> 73<\/b>, 011108, 2005.
\ncond-mat\/0410119<\/a>
\n[12] Julien Barr\u00e9, F. Bouchet, T. Dauxois, S. Ruffo, “Large deviation techniques applied to systems with long range interactions”<\/b>, J. Stat. Phys.<\/i> 119<\/b>, 677, 2005. cond-mat\/0406358 <\/a>.
\n[11] Julien Barr\u00e9, Alan Bishop, Turab Lookman, Avadh Saxena “On adaptability and “intermediate phase” in randomly connected networks”<\/b>, Phys. Rev. Lett. <\/i> 94<\/b>, 208701, 2005.
\ncond-mat\/0408385<\/a>.
\n[10] Julien Barr\u00e9, Alan Bishop, Turab Lookman, Avadh Saxena “The cavity method for the rigidity transition”<\/b>, J. Stat. Phys. <\/i> 118<\/b>, 1057 (2005). ps<\/a>.
\n[9] J. Barr\u00e9, T. Dauxois, G. De Ninno, D. Fanelli, S. Ruffo, “Statistical theory of high-gain Free Electron Laser saturation”<\/b>, Phys. Rev. E.<\/i> 69<\/b>, 045501 (2004).
\ncond-mat\/0310754 <\/a>.
\n[8] Y. Yamaguchi, J. Barr\u00e9, F. Bouchet, T. Dauxois, S. Ruffo, “Stability criteria of the Vlasov equation and quasi stationary states of the HMF model”<\/b>, Physica A<\/i> 337<\/b>, 36 (2004).
\ncond-mat\/0312480<\/a>
\n[7] Freddy Bouchet, Julien Barr\u00e9 “Classification of phase transitions and ensemble inequivalence, in systems with long range interactions”<\/b>, J. Stat. Phys.<\/i> 118<\/b>, 1073 (2005).
\ncond-mat\/0303307 <\/a>.
\n[6] Julien Barr\u00e9, Freddy Bouchet, Thierry Dauxois, Stefano Ruffo “Birth and long-time stabilization of out-of-equilibrium coherent structures”<\/b>, European Physical Journal B<\/i> 29<\/b>, 577 (2002).
\ncond-mat\/0203013<\/a>
\n[5] Julien Barr\u00e9, Freddy Bouchet, Thierry Dauxois, Stefano Ruffo “Out-of-equilibrium states as statistical equilibria of an effective dynamics structures”<\/b>, Physical Review Letters<\/i> 89<\/b>, 110601 (2002).
\ncond-mat\/0204407<\/a>.
\n[4] Julien Barr\u00e9 “Microcanonical solution of lattice models with long-range interaction”<\/b>, Physica A<\/i> 305<\/b>, 172 (2002).
\ncond-mat\/0110244<\/a>.
\n[3] Julien Barr\u00e9, David Mukamel, Stefano Ruffo “Inequivalence of ensembles in a system with long range interactions”<\/b>, Physical Review Letters<\/i> 87<\/b>, 030601 (2001).
\ncond-mat\/0102036<\/a>.
\n[2] Julien Barr\u00e9, Thierry Dauxois, Stefano Ruffo “Clustering in a Hamiltonian with repulsive long range interactions”<\/b>, Physica A<\/i> 295<\/b>, pp.254 (2001).
\ncond-mat\/0101403<\/a>.
\n[1] Julien Barr\u00e9, Thierry Dauxois “Lyapunov exponent as a dynamical indicator of a phase transition”<\/b>, Europhysics Letters<\/i> 55<\/b> (2), pp.164-170 (2001).
\ncond-mat\/0102327<\/a>.<\/p>\n“Habilitation \u00e0 diriger les recherches”<\/h2>\n
PhD Thesis<\/h2>\n
Book Chapters<\/h2>\n
\n[1] Julien Barr\u00e9, David Mukamel, Stefano Ruffo “Inequivalence of ensembles in mean-field models of magnetism”<\/b> 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)
\ncond-mat\/0209357 <\/a>.<\/p>\nProceedings<\/h2>\n
\nhal preprint<\/a>.
\n[5] F. Bouchet, J. Barr\u00e9, and A. Venaille “Equilibrium and out-of-equilibrium phase transitions in systems with long range interactions and in 2D flows”<\/b> 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).
\n[4] A. Antoniazzi, J. Barr\u00e9, T. Dauxois, G. De Ninno, D. Fanelli, S. Ruffo, “Free Electron Laser as a paradigmatic example of systems with long-range interactions”<\/b>; Berlin FEL Conference (2006).
\n[3] J. Barr\u00e9, F. Bouchet, “Statistical mechanics and long range interactions”<\/b> Comptes Rendus de Physique<\/i> 7 <\/b>, 414 (2006).
\n[2] F. Bouchet, J.~Barr\u00e9, “Statistical mechanics of systems with long range interactions”<\/b>, Journal of Physics: Conference Series<\/i> 31<\/b>, 18 (2006).
\n[1] Julien Barr\u00e9, Freddy Bouchet ” Mean-Field justified by large deviations results in long-range interacting systems”<\/b> Proceedings of the conference Dynamics and thermodynamics of systems with long range interactions<\/i>, Les Houches, France, February 18-22 2002, Eds. T. Dauxois, E. Arimondo, S. Ruffo, M. Wilkens.<\/p>\nScientific popularization journals<\/h2>\n
\n[2] J. Barr\u00e9 “Maths au maquis”<\/b>–Images des Math\u00e9matiques<\/i>, CNRS, 2014.
\n[1] J. Barr\u00e9 “Rigidit\u00e9 et percolation”<\/b>–Images des Math\u00e9matiques<\/i>, CNRS, 2014.<\/p>\n","protected":false},"excerpt":{"rendered":"