Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 145, Issue 5, Pages 1224-1255Publisher
SPRINGER
DOI: 10.1007/s10955-011-0385-6
Keywords
Thermal conductivity; Green-Kubo formula; Non-equilibrium stationary states
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Funding
- ERC [AdG 246953]
- French Ministry of Education [ANR-10-BLAN 0108]
- Agence Nationale de la Recherche (ANR) [ANR-10-BLAN-0108] Funding Source: Agence Nationale de la Recherche (ANR)
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We consider the stationary states of a chain of n anharmonic coupled oscillators, whose deterministic Hamiltonian dynamics is perturbed by random independent sign change of the velocities (a random mechanism that conserve energy). The extremities are coupled to thermostats at different temperature T (a) and T (r) and subject to constant forces tau (a) and tau (r) . If the forces differ tau (a) not equal tau (r) the center of mass of the system will move of a speed V (s) inducing a tension gradient inside the system. Our aim is to see the influence of the tension gradient on the thermal conductivity. We investigate the entropy production properties of the stationary states, and we prove the existence of the Onsager matrix defined by Green-Kubo formulas (linear response). We also prove some explicit bounds on the thermal conductivity, depending on the temperature.
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