A030045 Low temperature series for spin-1/2 Ising partition function on 4D simple cubic lattice.

1, 0, 0, 0, 1, 0, 0, 4, -4, 0, 28, -60, 38, 228, -798, 1036, 1528, -10064, 20266, -432, -116414, 342376, -312232, -1128944, 5218867, -8614080, -6284630, 71744552, -175745087, 80875672, 855493548, -3086044908, 3923353016, 7675455720, -48219069200

Offset

0,8

References

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

C. Vohwinkel, personal communication.

Links

Table of n, a(n) for n=0..34.

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

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

M. F. Sykes, Derivation of low-temperature expansions for Ising model, X: The four-dimensional simple hypercubic lattice, J. Phys. A 12 (1979) 879-892.

C. Vohwinkel and P. Weisz, Low-temperature expansion in the d=4 Ising model, Nucl. Phys. B 374 (1992) 647-666. See Table A.1, column f, for the power series which is the logarithm of this power series.

Crossrefs

Cf. A002891, A030044, A030046, A030047.

Sequence in context: A137862 A006805 A369018 * A371049 A126089 A111848

Adjacent sequences: A030042 A030043 A030044 * A030046 A030047 A030048

Keyword

sign

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(33)-a(34) using Vohwinkel & Weisz's data added by Andrey Zabolotskiy, Aug 10 2022

Status

approved