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Mathematical Physics Seminar

Heat flow in a system in contact with a thermal bath subjected to periodic forcing

Stefano Olla - Université Paris-Dauphine-PSL and GSSI-L'Aquila

Location:  Hill Center Room 705
Date & time: Thursday, 10 March 2022 at 12:00PM - 1:00PM

Abstract: We investigate the properties of a harmonic chain in contact at its left end with a thermal bath and subjected at its right end to a periodic force. The particles are also subjected to a random velocity reversal action. The latter gives the system a finite heat conductivity. 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. Rescaling space, time and the strength of the force leads to a continuum heat equation with Neumann boundary condition on the right, fixing the amount of heat current coning into the system, and Dirichlet condition on the left, fixing the temperature in accord to the one of the thermal bath.

Works in collaboration with Tomasz Komorowski (Polish Academy of Science) and Joel Lebowitz (Rutgers).

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