A002912 Low-temperature series in z = exp(-2J/kT) for ferromagnetic susceptibility for the Ising model on honeycomb structure. (Formerly M4179 N1740)

0, 0, 1, 6, 27, 122, 516, 2148, 8792, 35622, 143079, 570830, 2264649, 8942436, 35169616, 137839308, 538594704, 2098892928, 8159937669, 31656305550, 122575164923, 473797120338, 1828512928200, 7046581314292, 27119735418924, 104247226432566, 400272672674603

Offset

1,4

Comments

Previous name was: Susceptibility coefficients for honeycomb.

References

C. Domb, Ising model, in Phase Transitions and Critical Phenomena, vol. 3, ed. C. Domb and M. S. Green, Academic Press, 1974; p. 421.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=1..27.

Y. Chan, A. J. Guttmann, B. G. Nickel, J. H. H. Perk, The Ising Susceptibility Scaling Function, J Stat Phys 145 (2011), 549-590; arXiv:1012.5272 [cond-mat.stat-mech], 2010-2020. Gives 641 term in the file Honeycomb_z641.txt (divide by 4 to get this sequence).

C. Domb, Ising model, Phase Transitions and Critical Phenomena 3 (1974), 257, 380-381, 384-387, 390-391, 412-423. (Annotated scanned copy)

J. W. Essam and M. E. Fisher, Padé approximant studies of the lattice gas and Ising ferromagnet below the critical point, J. Chem. Phys., 38 (1963), 802-812.

M. F. Sykes and M. E. Fisher, Antiferromagnetic susceptibility of the plane square and honeycomb Ising lattices, Physica, 28 (1962), 919-938.

Crossrefs

Cf. A002978.

Sequence in context: A175716 A178935 A249792 * A030297 A045500 A360057

Adjacent sequences: A002909 A002910 A002911 * A002913 A002914 A002915

Keyword

nonn

Author

N. J. A. Sloane

Extensions

New name and more terms from Chan et al added by Andrey Zabolotskiy, Mar 03 2021

Status

approved