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Article Dans Une Revue Communications in Mathematical Physics Année : 2023

HEAT FLOW IN A PERIODICALLY FORCED, THERMOSTATTED CHAIN

Résumé

We investigate the properties of a harmonic chain in contact at one end with a thermal bath and subjected at its other end to a periodic force. The particles also undergo a random velocity reversal action, which results in a finite heat conductivity of the system. We prove the approach of the system to a time periodic state and compute the heat current, equal to the time averaged work done on the system, in that state. This work approaches a finite positive value as the length of the chain increases. Rescaling space, the strength and/or the period of the force leads to a macroscopic temperature profile corresponding to the stationary solution of a continuum heat equation with Dirichlet-Neumann boundary conditions.
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Dates et versions

hal-03697509 , version 1 (17-06-2022)
hal-03697509 , version 2 (20-01-2023)

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Tomasz Komorowski, Joel L Lebowitz, Stefano Olla. HEAT FLOW IN A PERIODICALLY FORCED, THERMOSTATTED CHAIN. Communications in Mathematical Physics, In press, ⟨10.1007/s00220-023-04654-4⟩. ⟨hal-03697509v2⟩
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