Heat flowing from cold to hot without external intervention by using a 'thermal inductor'
Andreas Schilling, Xiaofu Zhang, and Olaf Bossen

TL;DR
This paper introduces a 'thermal inductor' device that enables heat to flow from cold to hot without external energy, challenging traditional thermodynamic expectations and extending electrical-thermal circuit analogies.
Contribution
It presents the concept and experimental demonstration of a thermal inductor that allows heat flow reversal without external intervention, advancing thermoelectric cooling technology.
Findings
Demonstrated heat flow from cold to hot without external energy.
Showed the process passes through quasi-equilibrium states.
Extended electrical-thermal circuit analogy.
Abstract
The cooling of boiling water all the way down to freezing, by thermally connecting it to a thermal bath held at ambient temperature without external intervention, would be quite unexpected. We describe the equivalent of a 'thermal inductor', composed of a Peltier element and an electric inductance, which can drive the temperature difference between two bodies to change sign by imposing inertia on the heat flowing between them, and enable continuing heat transfer from the chilling body to its warmer counterpart without the need of an external driving force. We demonstrate its operation in an experiment and show that the process can pass through a series of quasi-equilibrium states while fully complying with the second law of thermodynamics. This 'thermal inductor' extends the analogy between electrical and thermal circuits and could serve, with further progress in thermoelectric…
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