Journal
CHINESE JOURNAL OF PHYSICS
Volume 77, Issue -, Pages 2676-2683Publisher
ELSEVIER
DOI: 10.1016/j.cjph.2022.03.043
Keywords
Ising model; Phase transition; Decimation transformation; Order parameter
Categories
Ask authors/readers for more resources
In this paper, a new tractable and easily calculable mathematical method is used to derive the spontaneous magnetization relations for the 2D triangular and 3D cubic lattices of the Ising model. The results obtained are compared with existing results to validate the new mathematical method. The method is based on exploiting the main characteristic of the order parameter of a second order phase transition, allowing for a more direct calculation of the spontaneous magnetization of the Ising model.
The spontaneous magnetization relations for the 2D triangular and the 3D cubic lattices of the Ising model are derived by a new tractable and easily calculable mathematical method. The result obtained for the triangular lattice is compared with the already available result to test and investigate the relevance of the new mathematical method. From this comparison, it is seen that the agreement of our result is almost the same or almost equivalent to the previously obtained exact result. The new approach is, then, applied to the long-standing 3D cubic lattice, and the corresponding expression for the spontaneous magnetism is derived. The relation obtained is compared with the already existing numerical results for the 3D lattice. The essence of the method used in this paper is based on exploiting the main characteristic of the order parameter of a second order phase transition which provides a more direct physical insight into the calculation of the spontaneous magnetization of the Ising model.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available