Complete universal scaling of first-order phase transitions in the two-dimensional Ising model
arXiv:2506.00515 · doi:10.1088/0256-307X/42/9/090001
Abstract
Phase transitions, as one of the most intriguing phenomena in nature, are divided into first-order phase transitions (FOPTs) and continuous ones in current classification. While the latter shows striking phenomena of scaling and universality, the former has recently also been demonstrated to exhibit scaling and universal behavior within a mesoscopic, coarse-grained Landau-Ginzburg theory. Here we apply this theory to a microscopic model -- the paradigmatic Ising model, which undergoes FOPTs between two ordered phases below its critical temperature -- and unambiguously demonstrate universal scaling behavior in such FOPTs. These results open the door for extending the theory to other microscopic FOPT systems and experimentally testing them to systematically uncover their scaling and universal behavior.
5 pages, 1 figure
References in corpus (13)
- Many-Body Physics with Ultracold Gases
- Dynamic transitions and hysteresis
- Kibble-Zurek Mechanism and Finite-Time Scaling
- The hysteresis loop area of the Ising model
- Direct Observation of Entropic Stabilization of bcc Crystals Near Melting
- Theory of Driven Nonequilibrium Critical Phenomena
- Variational approach to the scaling function of the 2D Ising model in a magnetic field
- Self-similarity breaking: Anomalous nonequilibrium finite-size scaling and finite-time scaling
- Complete universal scaling in first-order phase transitions
- Effective-Dimension Theory of Critical Phenomena above Upper Critical Dimensions
- Universal scaling in first-order phase transitions mixed with nucleation and growth
- Nucleation and growth manifest universal scaling, surely
- Is there Kibble-Zurek scaling of topological defects in first-order phase transitions?