Hydrodynamic Limit for an Anharmonic Chain under Boundary Tension

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