• DOI:10.1007/S00220-009-0918-X
• Corpus ID: 18452075

Ergodicity and Energy Distributions for Some Boundary Driven Integrable Hamiltonian Chains

@article{Blint2010ErgodicityAE,
  title={Ergodicity and Energy Distributions for Some Boundary Driven Integrable Hamiltonian Chains},
  author={P{\'e}ter B{\'a}lint and Kevin K. Lin and Lai-Sang Young},
  journal={Communications in Mathematical Physics},
  year={2010},
  volume={294},
  pages={199-228}
}

• P. Bálint, Kevin K. Lin, L. Young
• Published 1 February 2010
• Mathematics
• Communications in Mathematical Physics

We consider systems of moving particles in 1-dimensional space interacting through energy storage sites. The ends of the systems are coupled to heat baths, and resulting steady states are studied. When the two heat baths are equal, an explicit formula for the (unique) equilibrium distribution is given. The bulk of the paper concerns nonequilibrium steady states, i.e., when the chain is coupled to two unequal heat baths. Rigorous results including ergodicity are proved. Numerical studies are carried out for two types of bath distributions. For chains driven by exponential baths, our main finding is that the system does not approach local thermodynamic equilibrium as system size tends to infinity. For bath distributions that are sharply peaked Gaussians, in spite of the near-integrable dynamics, transport properties are found to be more normal than expected.