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Search: a007271 -id:a007271
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Low-temperature series for magnetization in zero-field 3-state Potts model on cubic lattice.
(Formerly M2194)
+10
1
1, 0, 0, 0, 0, 0, -3, 0, 0, 0, -18, -18, 42, 0, -135, -270, 477, 648, -1980, -2988, 4140, 14052, -21690, -52920, 55020, 201852, -162774, -914538, 555750, 3229524, -1188327, -13301370, 1402686, 52334268, 95751, -195398208, -58983558, 761838084, 359664885, -2910516786, -1946958399, 10681132140, 10207745148, -40522674258
OFFSET
0,7
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Andrey Zabolotskiy, Table of n, a(n) for n = 0..56 (using data from Vohwinkel)
A. J. Guttmann and I. G. Enting, Series studies of the Potts model: III. The 3-state model on the simple cubic lattice, J. Phys. A: Math. Gen., 27 (1994), 5801-5812; arXiv:hep-lat/9312083, 1993. See Table 1; note that row 36 is missing, see Kim.
Seung-Yeon Kim, Partition function zeros of the Q-state Potts model on the simple-cubic lattice, Nuclear Physics B, 637 (2002), 409-426; arXiv:cond-mat/0205451, 2002. See the note to Ref. [58].
S. Miyashita, D. D. Betts and C. J. Elliott, High-field series expansions and critical properties for the three-state Potts model, J. Phys. A 12 (1979), 1605-1622.
C. Vohwinkel, Yet another way to obtain low temperature expansions for discrete spin systems, Physics Letters B, 301 (1993), 208-212; arXiv:hep-lat/9211052, 1992. See Table 4: multiply by 3/2 to get this sequence.
CROSSREFS
Cf. other structures: A007271 (b.c.c. lattice), A057374 (square lattice), A057382 (hexagonal lattice), A057390 (honeycomb net), A057398 (kagome net). Cf. A002929 (Ising model).
KEYWORD
sign
AUTHOR
EXTENSIONS
a(30) corrected, terms a(34) and beyond added from Guttmann & Enting by Andrey Zabolotskiy, Feb 06 2022
Missing term a(36) inserted, name clarified by Andrey Zabolotskiy, Nov 17 2024
STATUS
approved

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