Geometric Heat Flux for Classical Thermal Transport in Interacting Open Systems

TL;DR

This paper investigates how geometric-phase-like effects influence classical heat transport in interacting open systems, revealing the importance of nonlinear interactions and temperature dependence, and proposes an electronic experiment for verification.

Contribution

The study provides an exact solution to the twisted Fokker-Planck equation revealing geometric-phase effects in classical heat conduction, highlighting the role of nonlinear interactions.

Findings

Geometric-phase-like effects significantly impact heat flux.

Nonlinear interactions and temperature dependence are crucial.

Proposed RC circuit experiment for validation.

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.