外场下Ising模型的临界特性

The Critical Properties of the Ising Model with External Field

在《热力学·统计物理》的经典教材中,介绍了临界点和临界指数的概念,并应用平均场方法求得了Ising模型的临界点。文章采用实空间重整化群的方法讨论了Ising模型的相变,求得了系统的临界点,根据标度理论,得到了系统的临界指数。与平均场方法相比,这种方法更接近严格解。

In the thermodynamics and statistical physics classical textbooks,the critical points and critical exponents are introduced.Using the mean field method,the critical points of the Ising model are given.In this paper,the same problem is discussed by adopting real space renormalization group,the critical points are also obtained.According to scaling theory,the system critical exponents are gotten.As contrasted with the mean field method,the method is closer to the rigorous solution.