Macroscopic Mpemba Effect from Cumulative-Heat-Enhanced Relaxation (opens in new tab)

arXiv:2603.19887v1 Announce Type: cross Abstract: The counterintuitive Mpemba effect, wherein a hotter system cools faster, critically lacks a universal macroscopic theory. Here, starting from linear irreversible thermodynamics, we formulate a generalized Newton's cooling law for the system-reservoir temperature difference $\Delta T$, given by $\mathrm{d}\Delta T/\mathrm{d}t = -[\gamma_0 + \mathcal{M}Q(t)][\Delta T - \mathcal{I}Q(t)]$, where $\gamma_0$ is the bare relaxation rate, and the cu...