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.
Original language | English (US) |
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Pages (from-to) | 641-665 |
Number of pages | 25 |
Journal | Journal of Statistical Physics |
Volume | 128 |
Issue number | 3 |
DOIs | |
State | Published - Aug 2007 |
Keywords
- Hamiltonian systems
- Interacting particle systems
- Local thermodynamic equilibrium
- Martingales
- Random walks
- Scaling limits
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics