G. Basile, C. Bernardin, and S. Olla, Momentum Conserving Model with Anomalous Thermal Conductivity in Low Dimensional Systems, Physical Review Letters, vol.96, issue.20, pp.96-204303, 2006.
DOI : 10.1103/PhysRevLett.96.204303

G. Basile, C. Bernardin, and S. Olla, Thermal Conductivity for a Momentum Conservative Model, Communications in Mathematical Physics, vol.28, issue.1, pp.67-98, 2009.
DOI : 10.1007/s00220-008-0662-7

C. Bernardin and P. Gona¸lvesgona¸lves, Anomalous fluctuations for a perturbed Hamiltonian system with exponential interactions, to appear in Commun, Math. Phys, 2013.

C. Bernardin and S. Olla, Transport Properties of a Chain of Anharmonic Oscillators with Random Flip of Velocities, Journal of Statistical Physics, vol.126, issue.3???4, p.145, 2011.
DOI : 10.1007/s10955-011-0385-6

URL : https://hal.archives-ouvertes.fr/ensl-00589672

C. Bernardin and S. Olla, Non-equilibrium macroscopic dynamics of chains of anharmonic oscillators, in preparation

C. Bernardin and G. Stoltz, Anomalous diffusion for a class of systems with two conserved quantities, Nonlinearity, vol.25, issue.4, 10991133.
DOI : 10.1088/0951-7715/25/4/1099

URL : https://hal.archives-ouvertes.fr/ensl-00909792

F. Bonetto, J. L. Lebowitz, and R. , FOURIER'S LAW: A CHALLENGE TO THEORISTS, Mathematical Physics, pp.128-150, 2000.
DOI : 10.1142/9781848160224_0008

A. Dhar, Heat transport in low-dimensional systems, Advances in Physics, vol.151, issue.5, p.457, 2008.
DOI : 10.1103/PhysRevLett.95.104302

J. Fritz, T. Funaki, and J. L. Lebowitz, Stationary states of random Hamiltonian systems, Probab. Theory Related Fields, pp.99-211, 1994.

A. Gerschenfeld, B. Derrida, and J. L. Lebowitz, Anomalous Fourier???s Law and Long Range Correlations in a 1D Non-momentum Conserving Mechanical Model, Journal of Statistical Physics, vol.43, issue.5, pp.757-766, 2010.
DOI : 10.1007/s10955-010-0076-8

S. Lepri, R. Livi, and A. Politi, Thermal conduction in classical low-dimensional lattices, Physics Reports, vol.377, issue.1, pp.1-80, 2003.
DOI : 10.1016/S0370-1573(02)00558-6

C. B. Mendl and H. Spohn, Dynamic Correlators of FPU Chains and Nonlinear Fluctuating Hydrodynamics, 2013.

S. Olla, S. R. Varadhan, and H. T. Yau, Hydrodynamical limit for a Hamiltonian system with weak noise, Communications in Mathematical Physics, vol.129, issue.3, pp.523-560, 1993.
DOI : 10.1007/BF02096727

H. Spohn, Large Scale Dynamics of Interacting Particles, 1991.
DOI : 10.1007/978-3-642-84371-6

H. Spohn, Nonlinear Fluctuating Hydrodynamics for Anharmonic Chains, Journal of Statistical Physics, vol.112, issue.5, 2013.
DOI : 10.1007/s10955-014-0933-y

D. Szász, Boltzmann's ergodic hypothesis, a conjecture for centuries? Hard ball systems and the Lorentz gas, Encyclopaedia Math. Sci, vol.101, pp.421-448, 2000.

H. Van-beijeren, Exact Results for Anomalous Transport in One-Dimensional Hamiltonian Systems, Physical Review Letters, vol.108, issue.18, 2012.
DOI : 10.1103/PhysRevLett.108.180601

H. T. Yau, Relative entropy and hydrodynamics of Ginzburg-Landau models, Letters in Mathematical Physics, vol.77, issue.1, pp.63-80, 1991.
DOI : 10.1007/BF00400379