6 papers
Threshold-Controlled Geometric Reorganization in 2D Bootstrap Percolation
Fangfang Wang, Wei Liu, Kai Qi +2
Two-dimensional bootstrap percolation is usually characterized by bulk observables, but whether increasing the activation threshold qualitatively reorganizes the geometry of the ab…
Spectral Signatures of Third-Order Pseudo-Transitions in Finite Systems: An Eigen-Microstate Approach
Wei Liu, Songzhi Lv, Xin Zhang +3
Third-order pseudo-transitions in finite systems reflect reorganization beyond conventional criticality, yet their identification usually relies on microcanonical entropy, which is…
Third-order transitions in Ising and Potts models on Watts--Strogatz small-world networks
Fangfang Wang, Wei Liu, Ke Zhang +4
We study third-order transitions in the two-dimensional Ising and Potts model on regular lattices and Watts--Strogatz small-world networks. Cluster observables are used to track po…
Canonical Criterion for Third-Order Transitions
Fangfang Wang, Wei Liu, Kai Qi +3
Microcanonical inflection-point analysis (MIPA) identifies third-order transitions from derivatives of the microcanonical entropy, but whether such transitions admit a direct canon…
Pseudo Transitions in the Finite-Size Blume-Capel Model
Lei Shi, Wei Liu, Xiang Li +4
This article investigates the pseudo transitions of the Blume-Capel model on two-dimensional finite-size lattices. By employing the Wang-Landau sampling method and microcanonical i…
Geometric properties of the additional third-order transitions in the two-dimensional Potts model
Wei Liu, Xin Zhang, Lei Shi +4
Within the canonical ensemble framework, this paper investigates the presence of higher-order transition signals in the -state Potts model (for ), using two geometric…