Exact low-temperature series expansion for the partition function of the zero-field Ising model on the infinite square lattice
Grzegorz Siudem , Agata Fronczak , Piotr Fronczak
AbstractIn this paper, we provide the exact expression for the coefficients in the low-temperature series expansion of the partition function of the two-dimensional Ising model on the infinite square lattice. This is equivalent to exact determination of the number of spin configurations at a given energy. With these coefficients, we show that the ferromagnetic-to-paramagnetic phase transition in the square lattice Ising model can be explained through equivalence between the model and the perfect gas of energy clusters model, in which the passage through the critical point is related to the complete change in the thermodynamic preferences on the size of clusters. The combinatorial approach reported in this article is very general and can be easily applied to other lattice models. © The Author(s) 2016.
|Journal series||Scientific Reports, ISSN 2045-2322|
|Publication size in sheets||0.3|
|Keywords in English||low temperature; model; partition coefficient; phase transition|
|Score|| = 40.0, 28-11-2017, ArticleFromJournal|
= 40.0, 28-11-2017, ArticleFromJournal
|Publication indicators||: 2016 = 4.259 (2) - 2016=4.847 (5)|
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