A030048 High temperature series for spin-1/2 Ising partition function on 5D simple cubic lattice.

1, 0, 10, 180, 5075, 180496

Offset

0,3

References

S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 391-406.

Links

Table of n, a(n) for n=0..5.

Daniel Andrén, Series expansion for the density of states of the Ising and Potts models, arXiv:0706.3116 [cond-mat.str-el], 2007.

Steven R. Finch, Lenz-Ising Constants [broken link]

Steven R. Finch, Lenz-Ising Constants [From the Wayback Machine]

M. E. Fisher and D. S. Gaunt, Ising model and self-avoiding walks on hypercubical lattices and "high-density" expansions, Phys. Rev. 133 (1964) A224-A239. See p. A226, in particular Eq. (2.11) (together with Eq. (4.10)), for the power series with coefficients g_n, which is the logarithm of this power series, and its physical and combinatorial interpretations.

Crossrefs

Cf. A010579 (susceptibility), A010573 (internal energy), A001393 (3D cubic lattice), A030044 (4D cubic lattice).

Sequence in context: A113671 A001762 A034908 * A318796 A054918 A095807

Adjacent sequences: A030045 A030046 A030047 * A030049 A030050 A030051

Keyword

nonn,more

Author

Steven Finch

Extensions

"Free energy" corrected to "partition function" (basically the exponential of the free energy) in the name by Andrey Zabolotskiy, Feb 12 2022

a(5) added by Andrey Zabolotskiy, Jun 30 2022 using Andrén's data (see his Table 4, column b_n^5 for the coefficients of the expansion of the logarithm of the g.f. of this sequence)

Status

approved