@article{5f31ae909bfd439d93f8f087ed8ffced,
title = "Local thermodynamic equilibrium for some stochastic models of hamiltonian origin",
abstract = "We consider a class of 1-D stochastic models that are realizations of Hamiltonian models of heat conduction and prove that in the infinite volume limit local thermodynamic equilibrium is attained with linear energy profile.",
keywords = "Hamiltonian systems, Interacting particle systems, Local thermodynamic equilibrium, Martingales, Random walks, Scaling limits",
author = "K. Ravishankar and Young, {Lai Sang}",
note = "Funding Information: This project began as a collaboration between the second-named author and J.-P. Eckmann. She thanks him for initiating the project and for his participation in its early stages. Thanks are also due to O. Lanford for helpful discussions, and to S. R. S. Varadhan for suggesting the martingale ideas in Sec. 4. This research is partially supported by NSF grant DMS-0104278. This research is partially supported by a grant from the NSF.",
year = "2007",
month = aug,
doi = "10.1007/s10955-007-9335-8",
language = "English (US)",
volume = "128",
pages = "641--665",
journal = "Journal of Statistical Physics",
issn = "0022-4715",
publisher = "Springer New York",
number = "3",
}