【摘要】 我们用场论重整化群方法讨论了周期边界的n分量φ~4模型薄膜的单纯尺寸效应,发现仅当维数满足d_<+1<d<d_>时尺寸效应具有Fisher的标度形式,其他情况下它是不可标度的。同时也讨论了维数渡越现象及状态方程。更多还原

【Abstract】 We have studied the size effect in the film of n-vector model with periodic boundary by using field theoretical method. It is found that when the system dimension satisfies the condition d<+1<d<d>, the size effect takes the Fisher’s scaling form, in other cases, no-scaling can be defined. Further more we have also discussed the dimensional crossover phenomena and state equation.更多还原