LABORATORY J.A. DIEUDONNE

UMR CNRS-UNS N°6621
Cédric Bernardin
 

Professor

Curriculum Vitae
Contact
Address :
Laboratoire J.A.Dieudonné
UMR CNRS-UNS N°6621
Université de Nice Sophia-Antipolis
Parc Valrose
06108 NICE Cedex 2
Phone Number : 04 92 07 62 57
Fax Number : 04 93 51 79 74
Mail : cbernard at unice.fr

Research Topics

ANR Energy Diffusion in Noisy Hamiltonian Systems


Publications
Regularity of the diffusion coefficient for lattice gas reversible under Bernoulli measures Stochastic Processes and their Applications 101, 43-68 (2002).

Fluctuations in the occupation time of a site in the asymmetric simple exclusion process. The Annals of probability 32, no 1-B, 855-879 (2004).

Fluctuations in Kawasaki dynamics. Journal of Statistical Physics 119, Numbers 3-4, 827-852 (2005).

Fourier's law for a microscopic model of heat conduction (with S. Olla). Journal of Statistical Physics 121, 271-289 (2005).

Momentum conserving model with anomalous thermal conductivity in low dimensional systems (with G. Basile and S. Olla) Phys.Rev.Lett. 96, 204303 (2006).

Hydrodynamics for a system of harmonic oscillators perturbed by a conservative noise. Stochastic Processes and their Apllications, 117, 487-513 (2007).

Heat conduction model : stationary non-equilibrium properties. Physical Review E 78, Issue 2, id. 021134 (2008).

Thermal conductivity for a noisy disordered harmonic chain. Journal of Statistical Physics 133, number 3, 417-433 (2008).

Superdiffusivity of Asymmetric Energy Model in dimension one and two. J. Math. Phys. 49, 103301 (2008).

Thermal conductivity for a momentum conserving model, (with G. Basile and S. Olla). Communications in Mathematical Physics, 287, 1, 67-98 (2009).

Entropy of nonequilibrium stationary states of boundary driven symmetric simple exclusion processes (with C. Landim), Journal of Statistical Physics 6, 141, 1014-1038, (2010).

Homogenization results for a linear dynamics in random Glauber type environment. Annales de l'Institut Henri Poincarré B, 48, No. 3, 792-818, (2012).

Thermal conductivity for a chain of anharmonic oscillators perturbed by a conservative noise, Journal of Difference Equations and Applications, 1563-5120, (2011).

A simple particle model to approximate a system of coupled equations with absorbing collision term (with V. Ricci). Kinetics and Related Models, 4, no 3, 633 - 668, (2011).

Transport Properties of a Chain of Anharmonic Oscillators with random flip of velocities (with S. Olla), Journal of Statistical Physics, 145, 1224-1255, (2011).

Anomalous diffusion for a class of system with two conserved quantities (with G. Stoltz). Nonlinearity 25, Num. 4, 1099 doi :10.1088/0951-7715/25/4/1099 (2012).

A one-dimensional coagulation-fragmentation process with a dynamical phase transition, (with F.L. Toninelli). Stochastic Processes and their Applications, (2012).

Nonequilibrium Stationary States of Harmonic Chains with Bulk Noises, (with J.L. Lebowitz, J. Lukkarinen and V.Kannan). Eur. Phys. J. B 84, 685-689 (2011).

Harmonic Systems with Bulk Noises, (with J.L. Lebowitz, J. Lukkarinen and V.Kannan). Journal of Statistical Physics, (2012).

Small perturbation of a disordered harmonic chain by a noise and an anharmonic potential, (with F. Huveneers), Prob. Th. Rel. Fields, 1--31 (2012).

Anomalous fluctuations for a perturbed hamiltonian system with exponential interactions. , (with P. Gonçalves), Communications in Mathematical Physics, 325, no1, 291-332 (2014).

Entropy of non-equilibrium stationay measures of boundary driven TASEP. , (with P. Gonçalves and C. Landim), Journal of Statistical Physics 154, No 1-2 (2014).

Superdiffusion of energy in Hamiltonian systems perturbed by a conservative noise, Springer Proceedings (PSPDEI, BRAGA), (2013).

Equilibrium fluctuations of additive functionals of zero-range models, (with P. Gonçalves and S. Sethuraman), Spinger Proceedings (PSPDEI), (2013).

Green-Kubo formula for weakly coupled system with dynamical noise (with F. Huveneers, J.L. Lebowitz, C. Liverani and S. Olla), Communications in Mathematical Physics (2014).

3/4 Fractional superdiffusion of energy in a system of harmonic oscillators perturbed by a conservative noise (With P. Gonçalves and M. Jara), Arch. Rational Mech. Anal., (2015).

Diffusion of energy in chains of oscillators with bulk noise, Springer Proceedings (PSPDEII, Braga), (2015).

Occupation times of long-range exclusion and connections to KPZ class exponents (with P. Gonçalves and S. Sethuraman), Probab. Theory Relat. Fields, (2015).

From normal diffusion to superdiffusion of energy in the evanescent flip noise limit (with P. Gonçalves, M. Jara, M. Sasada, and M. Simon), Journal of Statistical Physics, (2015).  


Thermal conductivity in harmonic lattices with random collisions (with G. Basile, M. Jara, T. Komorowski, S. Olla), to appear in Springer Lecture Notes in Physics "Thermal transport in low dimensions: from statistical physics to nanoscale heat transfer", S. Lepri editor, Springer (2016).

Fractional Fick's law for the boundary driven exclusion with long jumps (with B. J. Oviedo), (2016).