LEBOWITZ , Joel

We consider a harmonic chain in contact with thermal reservoirs at different temperatures and subject to bulk noises of different types: velocity flips or self-consistent reservoirs. While both systems have the same covariances in the nonequilibrium stationary state (NESS) the measures are very different. We study hydrodynamical scaling, large...

We consider a harmonic chain in contact with thermal reservoirs at different temperatures and subject to bulk noises of different types: velocity flips or self-consistent reservoirs. While both systems have the same covariances in the nonequilibrium stationary state (NESS) the measures are very different. We study hydrodynamical scaling, large...

We consider a chain composed of $N$ coupled harmonic oscillators in contact with heat baths at temperature $T_\ell$ and $T_r$ at sites $1$ and $N$ respectively. The oscillators are also subjected to non-momentum conserving bulk stochastic noises. These make the heat conductivity satisfy Fourier's law. Here we describe some new results about the...

We consider an infinite system of cells coupled into a chain by a smooth nearest neighbor potential $\ve V$. The uncoupled system (cells) evolve according to Hamiltonian dynamics perturbed stochastically with an energy conserving noise of strenght $\noise$. We study the Green-Kubo (GK) formula $\kappa(\ve,\noise)$ for the heat conductivity of...

We study the Green-Kubo (GK) formula κ(ε,ξ) for the heat conductivity of an infinite chain of d-dimensional finite systems (cells) coupled by a smooth nearest neighbour potential εV. The uncoupled systems evolve according to Hamiltonian dynamics perturbed stochastically by an energy conserving noise of strength ξ. Noting that κ(ε,ξ) exists and...

We consider an infinite system of cells coupled into a chain by a smooth nearest neighbor potential $\ve V$. The uncoupled system (cells) evolve according to Hamiltonian dynamics perturbed stochastically with an energy conserving noise of strenght $\noise$. We study the Green-Kubo (GK) formula $\kappa(\ve,\noise)$ for the heat conductivity of...