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Journal Articles Journal of Statistical Physics Year : 2011

Transport Properties of a Chain of Anharmonic Oscillators with random flip of velocities

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Abstract

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 $T_\ell$ and $T_r$ and subject to constant forces $\tau_\ell$ and $\tau_r$. If the forces differ $\tau_\ell \neq \tau_r$ 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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Dates and versions

ensl-00589672 , version 1 (29-04-2011)
ensl-00589672 , version 2 (11-01-2012)

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Cite

Cedric Bernardin, Stefano Olla. Transport Properties of a Chain of Anharmonic Oscillators with random flip of velocities: Oscillators chain with random flip of velocities. Journal of Statistical Physics, 2011, 145 (5), pp.1224-1255. ⟨10.1007/s10955-011-0385-6⟩. ⟨ensl-00589672v2⟩
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