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Article

Theory of Non-Equilibrium Heat Transport in Anharmonic Multiprobe Systems at High Temperatures

by 1,2,3
1
Department of Mechanical and Aerospace Engineering, University of Virginia, Charlottesville, VA 22904, USA
2
Department of Materials Science and Engineering, University of Virginia, Charlottesville, VA 22904, USA
3
Department of Physics, University of Virginia, Charlottesville, VA 22904, USA
Academic Editor: Alessio Gagliardi
Entropy 2021, 23(12), 1630; https://doi.org/10.3390/e23121630
Received: 3 November 2021 / Revised: 28 November 2021 / Accepted: 1 December 2021 / Published: 3 December 2021
We consider the problem of heat transport by vibrational modes between Langevin thermostats connected by a central device. The latter is anharmonic and can be subject to large temperature difference and thus be out of equilibrium. We develop a classical formalism based on the equation of motion method, the fluctuation–dissipation theorem and the Novikov theorem to describe heat flow in a multi-terminal geometry. We show that it is imperative to include a quartic term in the potential energy to insure stability and to properly describe thermal expansion. The latter also contributes to leading order in the thermal resistance, while the usually adopted cubic term appears in the second order. This formalism paves the way for accurate modeling of thermal transport across interfaces in highly non-equilibrium situations beyond perturbation theory. View Full-Text
Keywords: nanoscale thermal transport; anharmonicity; phonons; heat current; transmission; thermal conductance nanoscale thermal transport; anharmonicity; phonons; heat current; transmission; thermal conductance
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MDPI and ACS Style

Esfarjani, K. Theory of Non-Equilibrium Heat Transport in Anharmonic Multiprobe Systems at High Temperatures. Entropy 2021, 23, 1630. https://doi.org/10.3390/e23121630

AMA Style

Esfarjani K. Theory of Non-Equilibrium Heat Transport in Anharmonic Multiprobe Systems at High Temperatures. Entropy. 2021; 23(12):1630. https://doi.org/10.3390/e23121630

Chicago/Turabian Style

Esfarjani, Keivan. 2021. "Theory of Non-Equilibrium Heat Transport in Anharmonic Multiprobe Systems at High Temperatures" Entropy 23, no. 12: 1630. https://doi.org/10.3390/e23121630

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