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.