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math-ph2020
Combinatorial origins of the canonical ensemble
Kornelia Ufniarz, Grzegorz Siudem
The Darwin-Fowler method in combination with the steepest descent approach is a common tool in the asymptotic description of many models arising from statistical physics. In this w…
math-ph2020
Bell polynomials in the series expansions of the Ising model
Grzegorz Siudem, Agata Fronczak
Through applying Bell polynomials to the integral representation of the free energy of the Ising model for the triangular and hexagonal lattices we obtain the exact combinatorial f…
math-ph2014
Exact low-temperature series expansion for the partition function of the two-dimensional zero-field s=1/2 Ising model on the infinite square lattice
Grzegorz Siudem, Agata Fronczak, Piotr Fronczak
In 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 infi…