Project supported in part by a Postdoctoral Fellowship from the State Education Commission of China, and by the National Natural Science Foundation of China, the Tianyuan Foundation and the National 863 Project.
The metastable behavior of the stochastic Ising model is studied in a finite three-dimensional torus,in the limit as the temperature goes to zero.The so-called critical droplet is determined,a clear view of the passag...
Project supported in part by the State Education Commission of China, the National Natural Science Foundation of China, the Tianyuan Foundation and the National 863 Project.
The metastable behavior of the stochastic Ising model in a finite three-dimensional torus is studied in the limit as the temperature goes to zero.All metastable states are characterized and a hierarchic structure is f...
Project partly supported by the Laboratory of Function Inorganic Materials of the Chinese Academy of Sciences.
The relationship between the transverse field Ising model and the Landau phenomenological theory for ferroelectrics is analyzed, and the Landau free energy expression for ferroelectrics having surfaces is derived. It ...
the National Natural Science Foundation of China and the State Education Commission of China
Let (M, g) be a compact Riemannian manifold with boundary M. By using Dobrushin’suniqueness condition and estimates of the first Neumann eigenvalue, some uniqueness conditions of Gibbs statefor stochastic Ising model...
Project supported in part by the National Natural Science Foundation of China.
Under the scaling limit, i.e. T→T_c+, H→O, R→∞, where h=const. H|T-T_c|^(-15/8) is fixed and small, while r=R|T-T_c|is fixed and large, we investigate the energy-spin correlation function <σ_(M1), _(N1)σ_(M2), _...