Monte Carlo Simulations of Classical O(2) Model on Nice Tree and Bethe Lattice
GUO Wen-an, YANG Zhan-ru1
Department of Physics, and Institute of Theoretical Physics, Beijing Normal University, Beijing 100875
1also CCAST(World Laboratory), P. O. Box 8730, Beijing 100080
Monte Carlo Simulations of Classical O(2) Model on Nice Tree and Bethe Lattice
GUO Wen-an;YANG Zhan-ru1
Department of Physics, and Institute of Theoretical Physics, Beijing Normal University, Beijing 100875
1also CCAST(World Laboratory), P. O. Box 8730, Beijing 100080
Abstract： The Metropolis Monte Carlo algorithm is applied to a classical O(2) model on nice tree and Bethe lattice. Finite-size scaling theory is applied to estimate the critical temperature. The results show that the continuous symmetry may not be spontaneously broken even if df ≥ dw + 1 where df and dw are the fractal dimension and the dimension of the random walk on the structure respectively or even if the random walk on the structure is transient.
GUO Wen-an;YANG Zhan-ru. Monte Carlo Simulations of Classical O(2) Model on Nice Tree and Bethe Lattice[J]. 中国物理快报, 1996, 13(7): 496-499.
GUO Wen-an, YANG Zhan-ru. Monte Carlo Simulations of Classical O(2) Model on Nice Tree and Bethe Lattice. Chin. Phys. Lett., 1996, 13(7): 496-499.
1996, Vol. 13 
