4 papers
Thermodynamic phase transitions in lattice spin systems with severe kinetic constraints: Numerical simulation results
Ruifeng Liu, Jianwen Zhou, Yejia Chen +2
The Fredrickson-Andersen model with hyperparameter is a severely constrained kinetic lattice spin system, such that any site is temporarily blocked from changing its packing…
The stability of long-range order in disordered systems: A generalized Ding-Zhuang argument
Yejia Chen, Jianwen Zhou, Ruifeng Liu +1
The stability of long-range order against quenched disorder is a central problem in statistical mechanics. This paper develops a generalized framework extending the Ding-Zhuang met…
Spontaneous Symmetry Breaking In Nonlinear Binary Periodic Systems
Ruihan Peng, Qidong Fu, Yejia Chen +3
Spontaneous symmetry breaking (SSB) occurs when modes of asymmetric profile appear in a symmetric, double-well potential, due to the nonlinearity of the potential exceeding a criti…
The Eigenvalue Problem of Nonlinear Schrödinger Equation at Dirac Points of Honeycomb Lattice
Yejia Chen, Ruihan Peng, Qidong Fu +2
We give a rigorous deduction of the eigenvalue problem of the nonlinear Schrödinger equation (NLS) at Dirac Points for potential of honeycomb lattice symmetry. Based on a bootstrap…