Geometric Heat Flux for Classical Thermal Transport in Interacting Open Systems

Abstract

We study classical heat conduction in a dissipative open system composed of interacting oscillators. By exactly solving a twisted Fokker-Planck equation which describes the full counting statistics of heat flux flowing through the system, we identify the geometric-phase-like effect and examine its impact on the classical heat transport. Particularly, we find that the nonlinear interaction as well as the closely related temperature-dependence of system-parameters are crucial in manifesting the geometric-phase contribution of heat flux. Finally, we propose an electronic experiment based on RC circuits to verify our theoretical predictions.

4+ pages, 3 figures, supplement included, accepted by PRL

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Cited by in corpus (4)

• Dynamic control of quantum geometric heat flux in a nonequilibrium spin-boson model
• Classical Heat Transport in Anharmonic Molecular Junctions: Exact Solutions
• Unifying quantum heat transfer in a nonequilibrium spin-boson model with full counting statistics
• Steady state current fluctuations and dynamical control in a nonequilibrium single-site Bose-Hubbard system