SIMPLE PROOF AND GENERALIZATION OF GRIFFITHS SECOND INEQUALITY

被引:37
作者
GINIBRE, J
机构
[1] Laboratoire de Physique Théorique et Hautes Energies
[2] Bâtiment 211, Faculté des Sciences
关键词
D O I
10.1103/PhysRevLett.23.828
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A recent generalization by Sherman of Griffiths' second inequality on correlations in Ising ferromagnets is further generalized. Straightforward proofs are provided both for the original inequality and its generalization. © 1969 The American Physical Society.
引用
收藏
页码:828 / &
相关论文
共 12 条
[1]   CORRELATIONS AT CRITICAL POINT OF ISING MODEL [J].
BUCKINGHAM, MJ ;
GUNTON, JD .
PHYSICAL REVIEW, 1969, 178 (02) :848-+
[2]   EXISTENCE OF A PHASE-TRANSITION IN A ONE-DIMENSIONAL ISING FERROMAGNET [J].
DYSON, FJ .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1969, 12 (02) :91-&
[3]   NON-EXISTENCE OF SPONTANEOUS MAGNETIZATION IN A ONE-DIMENSIONAL ISING FERROMAGNET [J].
DYSON, FJ .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1969, 12 (03) :212-&
[4]   RIGOROUS INEQUALITIES FOR CRITICAL-POINT CORRELATION EXPONENTS [J].
FISHER, ME .
PHYSICAL REVIEW, 1969, 180 (02) :594-&
[5]   CORRELATIONS IN ISING FERROMAGNETS .I. [J].
GRIFFITH.RB .
JOURNAL OF MATHEMATICAL PHYSICS, 1967, 8 (03) :478-&
[6]  
Griffiths R.B., 1967, COMMUN MATH PHYS, V6, P121, DOI [10.1007/BF01654128, DOI 10.1007/BF01654128]
[7]   CORRELATIONS IN ISING FERROMAGNETS .2. EXTERNAL MAGNETIC FIELDS [J].
GRIFFITHS, RB .
JOURNAL OF MATHEMATICAL PHYSICS, 1967, 8 (03) :484-+
[8]   GRIFFITHS THEOREMS FOR FERROMAGNETIC HEISENBERG MODEL [J].
HURST, CA ;
SHERMAN, S .
PHYSICAL REVIEW LETTERS, 1969, 22 (25) :1357-&
[9]   GENERAL GRIFFITHS INEQUALITIES ON CORRELATIONS IN ISING FERROMAGNETS [J].
KELLY, DG ;
SHERMAN, S .
JOURNAL OF MATHEMATICAL PHYSICS, 1968, 9 (03) :466-&
[10]  
NAIMARK MA, 1959, NORMED RINGS, P410