Hydrodynamic Limit for an Anharmonic Chain under Boundary Tension

@article{Marchesani2018HydrodynamicLF,
title={Hydrodynamic Limit for an Anharmonic Chain under Boundary Tension},
author={S. Marchesani and S. Olla},
journal={arXiv: Probability},
year={2018}
}

We study the hydrodynamic limit for a one dimensional isothermal anharmonic finite chain in Lagrangian coordinates with hyperbolic space-time scaling. The temperature is kept constant by putting the chain in contact with a heat bath, realised via a stochastic momentum-preserving noise added to the dynamics. The noise is designed to be large at the microscopic level, but vanishing in the macroscopic scale. Boundary conditions are also considered: one end of the chain is kept fixed, while a time… Expand