Abstract
The purpose of this paper is the computation of exact expressions (symbolic expressions) of two fundamental functions used in Statistical Physics. In the first part we study the partition functions of finite two-dimensional and three-dimensional Ising models. These partition functions can be expressed with polynomials and we want to compute all the coefficients of these polynomials exactly. In the second part we deal with the free energy of some regular two-dimensional Ising models. We write these functions in the form of double integrals and we carry out the calculation of the kernels of these integrals.
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Lacolle, B. (1986). Symbolic Computation Methods for Some Spin Glasses Problems. In: Bienenstock, E., Soulié, F.F., Weisbuch, G. (eds) Disordered Systems and Biological Organization. NATO ASI Series, vol 20. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82657-3_14
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DOI: https://doi.org/10.1007/978-3-642-82657-3_14
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