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Citation(s) in
RCA
7
(from Reference Citation Analysis)
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PHYSICAL REVIEW. B, CONDENSED MATTER (2)
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Wood DW
, Griffiths HP.
The critical exponents of Ising model systems with pure three-body interactions. III.
ACTA ACUST UNITED AC
2001. [DOI:
10.1088/0022-3719/7/8/007
]
[
Citation(s) in
RCA
: 19
]
[
Impact Index Per Article: 0.8
]
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[Indexed: 11/11/2022]
Number
Cited by Other Article(s)
1
Schreiber N
, Adler J. Monte Carlo study of the pure and dilute Baxter–Wu model.
ACTA ACUST UNITED AC
2005. [DOI:
10.1088/0305-4470/38/33/004
]
[
Citation(s) in
RCA
: 23
]
[
Impact Index Per Article: 1.2
]
[
Reference Citation Analysis
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[Indexed: 11/12/2022]
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2
Griffiths HP
, Wood DW. Critical exponents and many-body effects. IV.
ACTA ACUST UNITED AC
2001. [DOI:
10.1088/0022-3719/7/22/006
]
[
Citation(s) in
RCA
: 43
]
[
Impact Index Per Article: 1.9
]
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[Indexed: 11/11/2022]
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3
Gitterman M
, Mikulinsky M. On phase transitions in Ising systems with many-spin interactions.
ACTA ACUST UNITED AC
2001. [DOI:
10.1088/0022-3719/10/20/016
]
[
Citation(s) in
RCA
: 23
]
[
Impact Index Per Article: 1.0
]
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[Indexed: 11/12/2022]
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4
Sykes MF
, Watts MG. Derivation of low-temperature series expansions for the Ising model with triplet interactions on the plane triangular lattice.
ACTA ACUST UNITED AC
2001. [DOI:
10.1088/0305-4470/8/9/016
]
[
Citation(s) in
RCA
: 10
]
[
Impact Index Per Article: 0.4
]
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[Indexed: 11/11/2022]
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5
On the magnetization of the triangular lattice Ising model with triplet interactions.
ACTA ACUST UNITED AC
1997. [DOI:
10.1098/rspa.1975.0136
]
[
Citation(s) in
RCA
: 16
]
[
Impact Index Per Article: 0.6
]
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[Indexed: 11/12/2022]
Abstract
The analytic properties of the spontaneous magnetization
M
for the triangular lattice Ising model with pure triplet interactions are investigated. In particular, it is shown that
M
is a solution of Legendre’s elliptic modular equation of degree 3. The following explicit hypergeometric formula for
M
is also derived:
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6
Novotny MA
, Landau DP. Kinetic behavior of the Baxter-Wu model with quenched impurities.
PHYSICAL REVIEW. B, CONDENSED MATTER
1985;
32
:5874-5879. [PMID:
9937835
DOI:
10.1103/physrevb.32.5874
]
[
Citation(s) in
RCA
: 11
]
[
Impact Index Per Article: 0.3
]
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[Indexed: 11/07/2022]
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7
Novotny MA
, Landau DP. Monte Carlo renormalization-group study of the impure Baxter-Wu model.
PHYSICAL REVIEW. B, CONDENSED MATTER
1985;
32
:3112-3117. [PMID:
9937426
DOI:
10.1103/physrevb.32.3112
]
[
Citation(s) in
RCA
: 13
]
[
Impact Index Per Article: 0.3
]
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[Indexed: 04/11/2023]
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