会议论文详细信息
5th International Conference on Mathematical Modeling in Physical Sciences | |
n-vicinities method for three dimensional Ising Model | |
物理学;数学 | |
Kryzhanovsky, Boris^1 ; Litinskii, Leonid^1 | |
Scientific Research Institute for System Analysis of Russian Academy of Science, Nakhimovskii prospect Str. 36-1, Moscow | |
117218, Russia^1 | |
关键词: Approximate calculations; Arbitrary dimension; Cubic lattice; Equation of state; Exact results; Partition functions; State equations; Three-dimensional Ising model; | |
Others : https://iopscience.iop.org/article/10.1088/1742-6596/738/1/012064/pdf DOI : 10.1088/1742-6596/738/1/012064 |
|
来源: IOP | |
【 摘 要 】
The n -vicinities method for approximate calculations of the partition function of a spin system was proposed previously. The equation of state was obtained in the most general form. In the present publication these results are adapted to the Ising model on the D - dimensional cubic lattice. The state equation is solved for an arbitrary dimension D and the behavior of the free energy is analyzed. For large values of D (D > 2) the obtained results are in good agreement with the ones obtained by means of computer simulations. For small values of D, there are noticeable discrepancies with the exact results.
【 预 览 】
Files | Size | Format | View |
---|---|---|---|
n-vicinities method for three dimensional Ising Model | 1022KB | download |