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 random-cluster representation,the Isin...
Supported by the Earmarked Grant Research from the Research Grants Council of HKSAR of China under Grant No HKUST3/CRF/09.
We study the scaling behavior of the linear response in the quench dynamics in the one-dimensional transverse-field Ising model.It is found that the leading response of the system scales linearly with the system size....
Supported by URAC:08,and the Project of A.E.C.I.under Grant No A/030519/10.
Within the framework of the effective-field theory with a probability distribution technique,which accounts for the self-spin correlation functions,the ferromagnetic spin-1 Ising model with a transverse crystal field ...
Supported by the National Natural Science Foundation of China under Grant No 10474057.
Physical properties of polycrystailine ferroelectrics including the contributions of the fixed dipolar defects and the average grain size in the Potts-Ising model are simulated by using the Monte Carlo method. Domain ...
Supported by the National Natural Science Foundation of China under Grant No 10635040.
We report our investigation on the behaviour of distance-dependent Ising models, which are located on the BA model network. The interaction strength between two nodes (the spins) is considered to obey an exponential...
We study the order parameter probability distribution at the critical point for the three-dimensional spin-1/2 and spin-1 Ising models on the simple cubic lattice under periodic boundary conditions. The finite size sc...
The saddle point equation of Ginzburg-Landau Hamiltonian for the diluted Ising model is developed. The ground state is solved numerically in two dimensions. The result is partly explained by the coarse-grained approxi...
Supported by the National Natural Science Foundation of China.
We treat the 2-dimensional Ising model with the dipolar interaction by the numerical calculation under the restriction that the spin configurations are distributed with a 4 × 4 period.The phase diagram with respect t...
Supported in part by the National Basic Research Project"Nonlinear Science";the Research Foundation of Beijing Normal University for Youth.
We study how thermodynamic properties of the four-spin interaction Ising model on a family of Sierpinski carpets fractals cross over to that of the Ising model on square lattice with four-spin interaction in half of t...