Investigation of probability theory on Ising models with different four-spin interactions
| Autor: | Yuming Yang, Haijuan Cui, Baohua Teng, Hongchun Yang |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Statistics and Probability
Phase transition Rounding Square-lattice Ising model Partition function (mathematics) Condensed Matter Physics 01 natural sciences 010305 fluids & plasmas Probability theory Mean field theory 0103 physical sciences Ising model Statistical physics 010306 general physics Series expansion Mathematics |
| Zdroj: | Physica A: Statistical Mechanics and its Applications. 483:243-249 |
| ISSN: | 0378-4371 |
| DOI: | 10.1016/j.physa.2017.04.176 |
| Popis: | Based on probability theory, two types of three-dimensional Ising models with different four-spin interactions are studied. Firstly the partition function of the system is calculated by considering the local correlation of spins in a given configuration, and then the properties of the phase transition are quantitatively discussed with series expansion technique and numerical method. Meanwhile the rounding errors in this calculation is analyzed so that the possibly source of the error in the calculation based on the mean field theory is pointed out. |
| Databáze: | OpenAIRE |
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