Statistical Mechanics of One-Dimensional Single Component Landau-Ginzburg Fields.

摘要

The single-component Landau-Ginzburg problem is solved approximately in one dimension. A variational solution is obtained for the equivalent anharmonic oscillator problem in quantum mechanics;the specific heat,the susceptibility,the order parameter correlation function,and the order parameter in a small external field are obtained from the solution. These results show that there is no sharp phase transition,although the system becomes ordered at low temperatures upon application of a very small field. (Author)