Related Experiment Video
Updated: Sep 13, 2025

Author Spotlight: Exploring Intrinsically Disordered Protein Dynamics Through NMR Relaxation Experiments
Published on: November 1, 2024
Relaxation behavior near the first-order phase transition line
Xiaobing Li1,2, Ranran Guo1, Mingmei Xu1
1Central China Normal University, Key Laboratory of Quark and Lepton Physics (MOE) and Institute of Particle Physics, Wuhan 430079, China.
Abstract:
Using the Metropolis algorithm, we simulate the relaxation process of the three-dimensional kinetic Ising model. Starting from a random initial configuration, we first present the average equilibration time across the entire phase boundary. It is observed that the average equilibration time increases significantly as the temperature decreases far from the critical temperature T_{c}. The average equilibration time along the first-order phase transition (1st-PT) line exhibits an ultraslow relaxation. We also investigate the dynamic scaling behavior with system sizes, and find that dynamic scaling holds not only near T_{c}, but also at T≪T_{c}. The dynamic exponent at T≪T_{c} is larger than that near T_{c}. Additionally, we analyze the dynamic scaling of the average autocorrelation time and find that it depends on system size only near T_{c}, while it becomes size-independent both above and below T_{c}. The extremely slow relaxation dynamics observed near the 1st-PT is attributed to the complex structure of the free energy.
Related Concept Videos
Atomic Nuclei: Types of Nuclear Relaxation
In spin–lattice or longitudinal relaxation, the excited spins exchange energy with the surrounding lattice as they return to the lower energy level. Among several mechanisms that contribute to spin–lattice relaxation, magnetic dipolar interactions are significant. Here, the excited nucleus transfers...
Atomic Nuclei: Nuclear Relaxation Processes
Phase Transitions
Phase Transitions: Melting and Freezing
Phase Transitions: Sublimation and Deposition
Phase Transitions: Vaporization and Condensation

