Fig. 1 Sketch of two situations in which objects with different temperatures are thermally connected. Sketch of two situations in which objects with different.

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Fig. 1 Sketch of two situations in which objects with different temperatures are thermally connected. Sketch of two situations in which objects with different temperatures are thermally connected. Arrows represent the direction of the flow of heat from (light/yellow) or to (dark/purple) the respective warmer object. (A) When an initially hot body is thermally connected at time t = 0 to a colder thermal reservoir held at temperature Tr, its temperature Tb is expected to drop monotonically by the loss of heat Q to the colder reservoir and to approach Tr in the limit t → ∞. (B) Sketch of a process in which Tb undershoots the temperature of the reservoir for t > t0, and heat Q is thereafter temporarily transferred from the chilling body to the warmer reservoir. The lowest temperature of the body Tb,min < Tr is reached at t = tmin when the connection can be removed. (C) Two similarly connected finite heat capacities are expected to smoothly approach thermodynamic equilibrium at a mean temperature T¯, with heat flowing in one direction only and always Tb > Tr. (D) Two bodies showing opposite oscillations in temperature, with an alternating direction of the heat flow and a repeated temporary transfer of heat from cold to hot. The roman numerals (i) to (iv) refer to the four quarters of the period of one full oscillation cycle of Tb(t), as elaborated in the text and in the caption of Fig. 2B. 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).