THE SAGA OF THE ISING SUSCEPTIBILITY

被引：4

作者：

Mccoy, Barry M. ^{[1
]}

Assis, Michael ^{[1
]}

Boukraa, Salah ^{[2
,3
]}

Hassani, Saoud ^{[4
]}

Maillard, Jean-Marie ^{[5
]}

Orrick, William P. ^{[6
]}

Zenine, Nadjah ^{[4
]}

机构：

[1] SUNY Stony Brook, CN Yang Inst Theoret Phys, Stony Brook, NY 11794 USA

[2] Univ Blida, LPTHIRM, Blida, Algeria

[3] Univ Blida, Dept Aeronaut, Blida, Algeria

[4] Ctr Rech Nucl Alger, Algiers, Algeria

[5] Univ Paris 06, LPTMC, F-75252 Paris 05, France

[6] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

来源：

NEW TRENDS IN QUANTUM INTEGRABLE SYSTEMS | 2011年

关键词：

FUCHSIAN DIFFERENTIAL-EQUATION; SQUARE LATTICE; CRYSTAL STATISTICS; MODEL; ORDER;

D O I：

10.1142/9789814324373_0015

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We review developments made since 1959 in the search for a closed form for the susceptibility of the Ising model. The expressions for the form factors in terms of the nome q and the modulus k are compared and contrasted. The lambda generalized correlations C(M, N; lambda) are defined and explicitly computed in terms of theta functions for M = N = 0,1.

引用

页码：287 / 306

页数：20

共 31 条

[1] [Anonymous], 1949, Nuovo Cimento (suppl.)
[2] ZERO-FIELD SUSCEPTIBILITY OF 2-DIMENSIONAL ISING-MODEL NEAR TC
BAROUCH, E
MCCOY, BM
WU, TT
[J]. PHYSICAL REVIEW LETTERS, 1973, 31 (23) : 1409 - 1411
[3] High order Fuchsian equations for the square lattice Ising model: (χ)over-tilde(5)
Bostan, A.
Boukraa, S.
Guttmann, A. J.
Hassani, S.
Jensen, I.
Maillard, J-M
Zenine, N.
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (27)
[4] Bostan A., 2007, J PHYS A, V40, P2583
[5] The diagonal Ising susceptibility
Boukraa, S.
Hassani, S.
Maillard, J.-M.
McCoy, B. M.
Zenine, N.
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (29) : 8219 - 8236
[6] Landau singularities and singularities of holonomic integrals of the Ising class
Boukraa, S.
Hassani, S.
Maillard, J-M
Zenine, N.
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (11) : 2583 - 2614
[7] Holonomy of the Ising model form factors
Boukraa, S.
Hassani, S.
Maillard, J-M
McCoy, B. M.
Orrick, W. P.
Zenine, N.
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (01) : 75 - 111
[8] Experimental mathematics on the magnetic susceptibility of the square lattice Ising model
Boukraa, S.
Guttmann, A. J.
Hassani, S.
Jensen, I.
Maillard, J-M
Nickel, B.
Zenine, N.
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (45)
[9] Boukraa S., 2010, J PHYS A IN PRESS
[10] THE SUSCEPTIBILITY OF THE PLANE ISING MODEL
FISHER, ME
[J]. PHYSICA, 1959, 25 (07): : 521 - 524

← 1 2 3 4 →