Title:A stochastic model of anomalous heat transport
Abstract: In this talk I will discuss the heat transport in a one-
dimensional harmonic crystal with conservative noise,
in contact with two stochastic Langevin heat baths at different
temperatures.
The noise term consists of collisions between neighbouring
oscillators that exchange their momenta, with a rate $\gamma$. The
stationary equations for the covariance matrix are exactly solved in
the thermodynamic limit ($N\to \infty$).
In particular, we derive an analytical expression for the temperature
profile, which turns out to be independent of $\gamma$. Moreover, we
obtain an exact expression for the leading term of the energy current,
which scales as $1/\sqrt{\gamma N}$. The dynamics of the different
correlators at intermediate times will also be discussed.