Three-dimensional Ising models -- Critical Parameters using $ε$-convergence method
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866913557376925696 |
|---|---|
| author | Vismaya, M V Sangaranarayanan, M V |
| author_facet | Vismaya, M V Sangaranarayanan, M V |
| contents | We demonstrate the applicability of the $ε$-convergence algorithm in extracting the critical temperatures and critical exponents of three-dimensional Ising models. We analyze the low temperature magnetization as well as high temperature susceptibility series of simple cubic, body-centered cubic, face-centered cubic and diamond lattices, using two different variables for the inverse critical temperature. In the case of simple cubic lattices, the magnetization series was modified to deduce accurate values of the critical temperatures. The alternate variable for dimensionless inverse temperature suggested by Guttmann and Thompson has also been employed for the estimation of the critical parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_15785 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Three-dimensional Ising models -- Critical Parameters using $ε$-convergence method Vismaya, M V Sangaranarayanan, M V Statistical Mechanics We demonstrate the applicability of the $ε$-convergence algorithm in extracting the critical temperatures and critical exponents of three-dimensional Ising models. We analyze the low temperature magnetization as well as high temperature susceptibility series of simple cubic, body-centered cubic, face-centered cubic and diamond lattices, using two different variables for the inverse critical temperature. In the case of simple cubic lattices, the magnetization series was modified to deduce accurate values of the critical temperatures. The alternate variable for dimensionless inverse temperature suggested by Guttmann and Thompson has also been employed for the estimation of the critical parameters. |
| title | Three-dimensional Ising models -- Critical Parameters using $ε$-convergence method |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2410.15785 |