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Low temperature series for spin-1/2 Ising partition function on 4D simple cubic lattice.
3

%I #17 Aug 11 2022 03:18:29

%S 1,0,0,0,1,0,0,4,-4,0,28,-60,38,228,-798,1036,1528,-10064,20266,-432,

%T -116414,342376,-312232,-1128944,5218867,-8614080,-6284630,71744552,

%U -175745087,80875672,855493548,-3086044908,3923353016,7675455720,-48219069200

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

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

%D C. Vohwinkel, personal communication.

%H Steven R. Finch, <a href="http://www.people.fas.harvard.edu/~sfinch/constant/ising/ising.html">Lenz-Ising Constants</a> [broken link]

%H Steven R. Finch, <a href="http://web.archive.org/web/20010207201511/http://www.mathsoft.com:80/asolve/constant/ising/ising.html">Lenz-Ising Constants</a> [From the Wayback Machine]

%H M. F. Sykes, <a href="https://doi.org/10.1088/0305-4470/12/6/019">Derivation of low-temperature expansions for Ising model, X: The four-dimensional simple hypercubic lattice</a>, J. Phys. A 12 (1979) 879-892.

%H C. Vohwinkel and P. Weisz, <a href="https://doi.org/10.1016/0550-3213(92)90403-X">Low-temperature expansion in the d=4 Ising model</a>, 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.

%Y Cf. A002891, A030044, A030046, A030047.

%K sign

%O 0,8

%A _Steven Finch_

%E "Free energy" corrected to "partition function" (basically the exponential of the free energy) in the name by _Andrey Zabolotskiy_, Feb 12 2022

%E a(33)-a(34) using Vohwinkel & Weisz's data added by _Andrey Zabolotskiy_, Aug 10 2022