Cedric Bernardin

Publications

Article dans une revue (36)

Macroscopic Fluctuation Theory for Ginzburg-Landau dynamics with long range interactions Raphaël Chétrite,Cedric Bernardin Journal of Statistical Physics, 2024 Article dans une revue hal-04727377v1
EQUILIBRIUM FLUCTUATIONS FOR DIFFUSIVE SYMMETRIC EXCLUSION WITH LONG JUMPS AND INFINITELY EXTENDED RESERVOIRS Cedric Bernardin,Patricia Goncalves,Milton Jara,Stefano Scotta Annales de l'Institut Henri Poincaré, 2022, 58 (1), pp.303-342. ⟨10.1214/21-AIHP1176⟩ Article dans une revue hal-02492181v1
A Microscopic Derivation of Coupled SPDE's with a KPZ Flavor Ragaa Ahmed,Cedric Bernardin,Patricia Gonçalves,Marielle Simon Annales de l'Institut Henri Poincaré, 2022, 58 (2), ⟨10.1214/21-AIHP1196⟩ Article dans une revue hal-02307963v1
Heat transport in an ordered harmonic chain in presence of a uniform magnetic field Junaid Bhat,Cedric Bernardin,Gaëtan Cane,Abhishek Dhar Journal of Statistical Physics, 2022, 186 (1), ⟨10.1007/s10955-021-02848-5⟩ Article dans une revue hal-03401413v1
Localization effects due to a random magnetic field on heat transport in a harmonic chain Gaëtan Cane,Junaid Majeed Bhat,Abhishek Dhar,Cedric Bernardin Journal of Statistical Mechanics: Theory and Experiment, In press, 11, ⟨10.1088/1742-5468/ac32b8⟩ Article dans une revue hal-03401370v1
Emergence of jumps in quantum trajectories via homogeneization Tristan Benoist,Cédric Bernardin,Raphaël Chétrite,Reda Chhaibi,Joseph Najnudelet al. Communications in Mathematical Physics, 2021, 387 (3), pp.1821-1867. ⟨10.1007/s00220-021-04179-8⟩ Article dans une revue hal-03157272v1
DERIVATION OF COUPLED KPZ-BURGERS EQUATION FROM MULTI-SPECIES ZERO-RANGE PROCESSES Cedric Bernardin,Tadahisa Funaki,Sunder Sethuraman The Annals of Applied Probability, 2021, 31 (4), pp.1966-2017. ⟨10.1214/20-AAP1639⟩ Article dans une revue hal-02268517v1
From fluctuating kinetics to fluctuating hydrodynamics: a $\Gamma$-Convergence of large deviations functionals approach Julien Barré,Cedric Bernardin,Raphaël Chétrite,Yash Chopra,Mauro Mariani Journal of Statistical Physics, 2020, 180, pp.1095-1127. ⟨10.1007/s10955-020-02598-w⟩ Article dans une revue hal-02309363v1
A MICROSCOPIC MODEL FOR A ONE PARAMETER CLASS OF FRACTIONAL LAPLACIANS WITH DIRICHLET BOUNDARY CONDITIONS Cedric Bernardin,P. Goncalves,Byron Jiménez Oviedo Archive for Rational Mechanics and Analysis, 2020, 239, pp.1-48. ⟨10.1007/s00205-020-01549-9⟩ Article dans une revue hal-01721137v2
HYDRODYNAMIC LIMIT FOR A DISORDERED HARMONIC CHAIN Cedric Bernardin,François Huveneers,Stefano Olla Communications in Mathematical Physics, 2019, 365 (1), pp.215-237. ⟨10.1007/s00220-018-3251-4⟩ Article dans une revue hal-01721245v3
Fractional equation description of an open anomalous heat conduction set-up Aritra Kundu,Anupam Kundu,Cedric Bernardin,Keji Saito,Abhishek Dhar Journal of Statistical Mechanics: Theory and Experiment, 2019, 2019 (1), pp.013205. ⟨10.1088/1742-5468/aaf630⟩ Article dans une revue hal-03401493v1
Slow to fast infinitely extended reservoirs for the symmetric exclusion process with long jumps Cedric Bernardin,Patricia Goncalves,Byron Oviedo Jimenez Markov Processes And Related Fields, 2019, 25 (2), pp.217-274 Article dans une revue hal-01474718v2
Foreword Cédric Bernardin,Patrick Flandrin Comptes Rendus. Physique, 2019, Fourier and the science of today / Fourier et la science d’aujourd’hui, 20 (5), pp.387-391. ⟨10.1016/j.crhy.2019.09.002⟩ Article dans une revue hal-02332718v1
WEAKLY HARMONIC OSCILLATORS PERTURBED BY A CONSERVATIVE NOISE Cedric Bernardin,Patricia Goncalves,Milton Jara The Annals of Applied Probability, 2018, ⟨10.1214/17-AAP1330⟩ Article dans une revue hal-01394142v2
Density large deviations for multidimensional stochastic hyperbolic conservation laws Julien Barré,Cedric Bernardin,Raphaël Chetrite Journal of Statistical Physics, 2017, Journal of Statistical Physics, 170 (3), pp.466-491. ⟨10.1007/s10955-017-1935-3⟩ Article dans une revue hal-01465293v2
OCCUPATION TIMES OF LONG-RANGE EXCLUSION AND CONNECTIONS TO KPZ CLASS EXPONENTS Cédric Bernardin,Patricia Goncalves,Sunder Sethuraman Probability Theory and Related Fields, 2016, 166, pp.365-428. ⟨10.1007/s00440-015-0661-5⟩ Article dans une revue hal-01144124v1
3/4 Fractional superdiffusion of energy in a system of harmonic oscillators perturbed by a conservative noise Cedric Bernardin,Patricia Gonçalves,Milton Jara Archive for Rational Mechanics and Analysis, 2016, 220 (2), pp.505--542. ⟨10.1007/s00205-015-0936-0⟩ Article dans une revue hal-00943116v3
Green-Kubo formula for weakly coupled system with dynamical noise. Cedric Bernardin,François Huveneers,Joel L. Lebowitz,Carlangelo Liverani,Stefano Olla Communications in Mathematical Physics, 2015, 334 (3), pp.1377-1412. ⟨10.1007/s00220-014-2206-7⟩ Article dans une revue hal-00911148v1
Diffusion of energy in chains of oscillators with bulk noise Cedric Bernardin From Particle Systems to Partial Differential Equations II, 2015, Springer Proc. Math. Stat., 129, ⟨10.1007/978-3-319-16637-7_1⟩ Article dans une revue hal-01052296v2
Superdiffusion of energy in Hamiltonian systems perturbed by a conservative noise Cedric Bernardin Proceedings in Mathematics, 2014, From particle systems to partial differential equations, 75, pp.129-141 Article dans une revue ensl-00909796v1
Green-Kubo formula for weakly coupled system with dynamical noise Cédric Bernardin,François Huveneers,Joel L. Lebowitz,Liverani Carlangelo,Stefano Olla Communications in Mathematical Physics, 2014, pp.DOI: 10.1007/s00220-014-2206-7 Article dans une revue hal-01069774v1
Equilibrium fluctuations of additive functionals of zero-range models Cedric Bernardin,Patricia Gonçalves,Sunder Sethuraman Proceedings in Mathematics, 2014, 75, pp.143-160 Article dans une revue ensl-00909797v1
Anomalous fluctuations for a perturbed hamiltonian system with exponential interactions Cedric Bernardin,P. Gonçalves Communications in Mathematical Physics, 2013, pp.44 Article dans une revue ensl-00695381v2
Entropy of non-equilibrium stationary measures of boundary driven TASEP Cedric Bernardin,Patricia Gonçalves,Claudio Landim Journal of Statistical Physics, 2013 Article dans une revue hal-00911122v1
Small perturbation of a disordered harmonic chain by a noise and an anharmonic potential Cedric Bernardin,François Huveneers Probability Theory and Related Fields, 2013, 157 (1-2), pp.301-331. ⟨10.1007/s00440-012-0458-8⟩ Article dans une revue istex hal-00777266v3
A one-dimensional coagulation-fragmentation process with a dynamical phase transition Cedric Bernardin,Fabio Lucio Toninelli Stochastic Processes and their Applications, 2012, 122 (4), pp.35 Article dans une revue ensl-00608829v2
Homogenization results for a linear dynamics in random Glauber type environment Cedric Bernardin Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2012, 48 (3), pp.792-818. ⟨10.1214/11-AIHP424⟩ Article dans une revue ensl-00589674v2
Anomalous diffusion for a class of systems with two conserved quantities Cedric Bernardin,Gabriel Stoltz Nonlinearity, 2012, 25, pp.1099-1133. ⟨10.1088/0951-7715/25/4/1099⟩ Article dans une revue ensl-00909792v1
HARMONIC SYSTEMS WITH BULK NOISES Cedric Bernardin,Venkateshan Kannan,Joel L. Lebowitz,Jani Lukkarinen Journal of Statistical Physics, 2012, 146 (4), pp.31 Article dans une revue ensl-00635335v2
A SIMPLE PARTICLE MODEL FOR A SYSTEM OF COUPLED EQUATIONS WITH ABSORBING COLLISION TERM Cedric Bernardin,Valeria Ricci Kinetic and Related Models , 2011, 4 (3), pp.633 - 668. ⟨10.3934/krm.2011.4.xx⟩ Article dans une revue ensl-00870165v1
Nonequilibrium Stationary States of Harmonic Chains with Bulk Noises Cedric Bernardin,Venkateshan Kannan,Joel L. Lebowitz,Jani Lukkarinen The European Physical Journal B: Condensed Matter and Complex Systems, 2011, 84, pp.685-689 Article dans une revue ensl-00621060v2
Transport Properties of a Chain of Anharmonic Oscillators with random flip of velocities Cedric Bernardin,Stefano Olla Journal of Statistical Physics, 2011, 145 (5), pp.1224-1255. ⟨10.1007/s10955-011-0385-6⟩ Article dans une revue ensl-00589672v2
Entropy of stationary nonequilibrium measures of boundary driven symmetric simple exclusion processes Cedric Bernardin,C. Landim Journal of Statistical Physics, 2010, 141 (6), pp.1014-1038. ⟨10.1007/s10955-010-0082-x⟩ Article dans une revue ensl-00589673v1
Thermal Conductivity for a Momentum Conserving Model Giada Basile,Cedric Bernardin,Stefano Olla Communications in Mathematical Physics, 2009, 287 (1), pp.67-98. ⟨10.1007/s00220-008-0662-7⟩ Article dans une revue hal-00017718v5
A momentum conserving model with anomalous thermal conductivity in low dimension Giada Basile,Cedric Bernardin,Stefano Olla Physical Review Letters, 2006, 96, pp.204303. ⟨10.1103/PhysRevLett.96.204303⟩ Article dans une revue hal-00009115v5
A model for two coupled turbulent fluids. Part III: Numerical approximation by finite elements. Cedric Bernardin,Tomas Chacon-Rebollo,M. Gomez,R. Lewandowski,François Murat Numerische Mathematik, 2004, 98, pp.33-66 Article dans une revue hal-00018044v1

Chapitre d'ouvrage (1)

Thermal conductivity in harmonic lattices with random collisions Giada Basile,Cédric Bernardin,Milton Jara,Tomasz Komorowski,Stefano Olla Stefano Lepri. Thermal transport in low dimensions: from statistical physics to nanoscale heat transfer, 921, Springer, pp.215, 2016, Springer Lecture Notes in Physics, 978-3-319-29259-5. ⟨10.1007/978-3-319-29261-8_5⟩ Chapitre d'ouvrage hal-01196009v2

Pré-publication, Document de travail (9)

Macroscopic Fluctuation Theory for Ginzburg-Landau dynamics with long range interactions Raphaël Chétrite,Cedric Bernardin 2024 Pré-publication, Document de travail hal-04727879v1
Hydrodynamic limit for a boundary driven super-diffusive symmetric exclusion Cédric Bernardin,Pedro Cardoso,Patrícia Gonçalves,Stefano Scotta 2022 Pré-publication, Document de travail hal-02884549v2
Hydrodynamic limit for a boundary driven super-diffusive symmetric exclusion Cedric Bernardin,Patricia Gonçalves,Stefano Scotta 2020 Pré-publication, Document de travail hal-03028664v1
A simple particle model for a system of coupled equations with absorbing collision term Cedric Bernardin,Valeria Ricci 2011 Pré-publication, Document de travail ensl-00610145v1
Anomalous diffusion for a class of systems with two conserved quantities Cedric Bernardin,Gabriel Stoltz 2011 Pré-publication, Document de travail hal-00593617v1
Thermal conductivity for a chain of anharmonic oscillators perturbed by a conservative noise Cedric Bernardin 2009 Pré-publication, Document de travail ensl-00396266v1
SUPERDIFFUSIVITY OF ASYMMETRIC ENERGY MODEL IN DIMENSION ONE AND TWO Cedric Bernardin 2008 Pré-publication, Document de travail ensl-00309069v1
Stationary non-equilibrium properties for a heat conduction model Cedric Bernardin 2008 Pré-publication, Document de travail ensl-00309063v1
THERMAL CONDUCTIVITY FOR A NOISY DISORDERED HARMONIC CHAIN Cedric Bernardin 2008 Pré-publication, Document de travail ensl-00309070v1