2024/01/28 by Wu, Yu-Xin, Chen, Jin-Fu, Quan, H. T. · 2 citations
#FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech)
paper · doi:10.48550/arxiv.2401.15592
Hysteresis and metastable states are typical features associated with ergodicity breaking in the first-order phase transition. We explore the scaling relations of nonequilibrium thermodynamics in finite-time first-order phase transitions. Using the Curie-Weiss model as an example, for large systems we find the excess work scales as v2/3 when the magnetic field is quenched at a finite rate v across the phase transition. We further reveal a crossover in the scaling of the excess work from v2/3 to v when downsizing the system. Our study elucidates the interplay between the finite-time dynamics and the finite-size effect, which leads to different scaling behaviors of the excess work with or without ergodicity breaking.