Recently, we argued [Chin. Phys. Lett. 39, 080502 (2022) 0256-307X 10.1088/0256-
307X/39/8/080502] that the Ising model simultaneously exhibits two upper critical …

Field-theoretical calculations predict that, at the upper critical dimension dc= 4, the finite-size
scaling (FSS) behaviors of the Ising model would be modified by multiplicative logarithmic …

The upper critical dimension of the Ising model is known to be dc= 4, above which critical
behavior is regarded to be trivial. We hereby argue from extensive simulations that, in the …

The exact solution of the Ising model on the complete graph (CG) provides an important,
though mean-field, insight for the theory of continuous phase transitions. Besides the …

Percolation is a cornerstone concept in physics, providing crucial insights into critical
phenomena and phase transitions. In this study, we adopt a kinetic perspective to reveal the …

Besides its original spin representation, the Ising model is known to have the Fortuin-
Kasteleyn (FK) bond and loop representations, of which the former was recently shown to …

Universality is a fundamental concept in modern physics. For the $ q $-state Potts model, the
critical exponents are merely determined by the order-parameter symmetry $ S_q $, spatial …

Explosive percolation in the Achlioptas process has recently attracted much research
attention. From extensive simulations in an event-based ensemble, we find that, in …