Resumen: Experiments featuring non-equilibrium glassy dynamics under temperature changes still await interpretation. There is a widespread feeling that temperature chaos (an extreme sensitivity of the glass to temperature changes) should play a major role but, up to now, this phenomenon has been investigated solely under equilibrium conditions. In fact, the very existence of a chaotic effect in the non-equilibrium dynamics is yet to be established. In this article, we tackle this problem through a large simulation of the 3D Edwards-Anderson model, carried out on the Janus II supercomputer. We find a dynamic effect that closely parallels equilibrium temperature chaos. This dynamic temperature-chaos effect is spatially heterogeneous to a large degree and turns out to be controlled by the spin-glass coherence length ¿. Indeed, an emerging length-scale ¿* rules the crossover from weak (at ¿ « ¿*) to strong chaos (¿ » ¿*). Extrapolations of ¿* to relevant experimental conditions are provided. Idioma: Inglés DOI: 10.1038/s42005-021-00565-9 Año: 2021 Publicado en: Communications Physics 4, 1 (2021), 74 [7 pp] ISSN: 2399-3650 Factor impacto JCR: 6.497 (2021) Categ. JCR: PHYSICS, MULTIDISCIPLINARY rank: 16 / 86 = 0.186 (2021) - Q1 - T1 Factor impacto CITESCORE: 8.2 - Physics and Astronomy (Q1)