Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1087.82006
Zenine, N.; Boukraa, S.; Hassani, S.; Maillard, J.-M.
Square lattice Ising model susceptibility: connection matrices and singular behaviour of $\chi^{(3)}$ and $\chi^{(4)}$. (English)
[J] J. Phys. A, Math. Gen. 38, No. 43, 9439-9474 (2005). ISSN 0305-4470

In the paper a simple and efficient method to calculate numerically, with an arbitrary number of digits, the connection matrices between the independent solutions, defined at two singular points, of differential equations of quite high orders is introduced. The order 7 and 10 Fuchsian ODEs corresponding to the 3-and 4-particle contribution to the magnetic susceptibility of the Ising model is considered. The entries of the connection matrix between two regular singular points have been obtained in the floating point form and most of them have been recognized, particularly those that show up in the singular behaviour of the physical solutions.
[Utkir Rozikov (Tashkent)]

MSC 2000:: *82B20 Lattice systems
34M55 Painlevé and other special equations
32G34 Moduli and deformations for ODE
82B27 Critical phenomena

Keywords: Ising model; connection matrices; singular behaviour

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]