Slow growth of magnetic domains helps fast evolution routes for out-of-equilibrium dynamics
Cooling and heating faster a system is a crucial problem in science, technology, and industry. Indeed, choosing the best thermal protocol to reach a desired temperature or energy is not a trivial task. Noticeably, we find that the phase transitions may speed up thermalization in systems where there are no conserved quantities. In particular, we show that the slow growth of magnetic domains shortens the overall time that the system takes to reach a final desired state. To prove that statement, we use intensive numerical simulations of a prototypical many-body system, namely, the two-dimensional Ising model. ; This work was partially supported by Ministerio de Economía, Industria y Competitividad (MINECO, Spain), Agencia Estatal de Investigación (AEI, Spain), and Fondo Europeo de Desarrollo Regional (FEDER, EU) through Grants No. PGC2018-094684-B-C21, No. FIS2017-84440-C2-2-P, and No. MTM2017-84446-C2-2-R. A.L. and J.S. were also partially supported by Grant No. PID2020-116567GB-C22 AEI/10.13039/501100011033. A.L. was also partly supported by Grant No A-FQM-644-UGR20 Programa operativo FEDER Andalucía 2014–2020. J.S. was also partly supported by the Madrid Government (Comunidad de Madrid-Spain) under the Multiannual Agreement with UC3M in the line of Excellence of University Professors (EPUC3M23), and in the context of the V PRICIT (Regional Programme of Research and Technological Innovation). I.G.-A.P. was supported by the Ministerio de Ciencia, Innovación y Universidades (MCIU, Spain) through FPU Grant No. FPU18/02665. ; Publicado