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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• Engineering topological states and quantum-inspired information processing using classical circuits
• Thermodynamic Geometry of Nonequilibrium Fluctuations in Cyclically Driven Transport
• Observation of Geometric Heat Pump Effect in Periodic Driven Thermal Diffusion
• Unifying quantum heat transfer in a nonequilibrium spin-boson model with full counting statistics
• Classical Heat Transport in Anharmonic Molecular Junctions: Exact Solutions
• Hierarchical structure of fluctuation theorems for a driven system in contact with multiple heat reservoirs
• Hilbert space fragmentation imposed real spectrum of non-Hermitian systems
• Heat transfer mediated by the Berry-phase in non-reciprocal many-body systems
• Steady state current fluctuations and dynamical control in a nonequilibrium single-site Bose-Hubbard system
• Energy rectification in active gyroscopic networks under time-periodic modulations