Fig. 4 Results from experiments with oscillating thermal circuits containing the equivalent of a thermal inductor. Results from experiments with oscillating.

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Fig. 4 Results from experiments with oscillating thermal circuits containing the equivalent of a thermal inductor. Results from experiments with oscillating thermal circuits containing the equivalent of a thermal inductor. (A) Temperature Tb(t) data taken for two configurations of superconducting coils with L = 30 and 58.5 H, respectively. In this type of an experiment, the oscillating thermal circuit is entirely passive. The temperature Tb(t) of a copper cube that has been thermally connected to a heat reservoir held at Tr = 295 K and initially heated by Δ0 = Tb(0) − Tr ≈ 82 K substantially undershoots with respect to Tr by ≈1.7 K for L = 58.5 H. The inset shows the respective equivalent electrical network, including a parasitic electrical resistance Rs in series due to electrical leads and connections. The solid lines are Tb(t) data obtained by solving the corresponding relevant differential equations using the parameters from a global fit to the data shown in (B) and with Rs = 21 and 43 milliohms for L = 30.0 and 58.5 H, respectively. (B) Experiments using a gyrator-type substitute of an electric inductor with a nominal Rs ≈ 0. Main panel: Temperature Tb(t) for four different values of nominal inductance L, with a maximum undershoot of Tb(t) with respect to Tr by ≈2.7 K for L = 90.9 H. The Tb(t) data from (A) (green and purple dots) are included for comparison. Inset: Evolution of the electric current flowing through the Peltier element. The solid black lines correspond to a global fit to the four datasets according to the relations given in the main text, with the fitting parameters C, R, k, and ZT. A. Schilling et al. Sci Adv 2019;5:eaat9953 Copyright © 2019 The Authors, some rights reserved; exclusive licensee American Association for the Advancement of Science. No claim to original U.S. Government Works. Distributed under a Creative Commons Attribution NonCommercial License 4.0 (CC BY-NC).