NEW SOLUTION TO THE TWO-DIMENSIONAL LENZ-ISING-ONSAGER PROBLEM

被引：0

作者：

Kochmanski, Martin S. ^{[1
]}

机构：

[1] Univ Rzeszow, Fac Math & Nat Sci, Pigonia 1, PL-35310 Rzeszow, Poland

来源：

ACTA PHYSICA POLONICA B | 2016年 / 47卷 / 08期

关键词：

SOLUBLE PROBLEM; FERMIONS; MODEL;

D O I：

10.5506/APhysPolB.47.2079

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this work, a new analytical solution to the two-dimensional Lenz-Ising-Onsager (2D LIO) problem in zeroth external magnetic field is presented. The developed approach is based on using twice the transfer-matrix method and generalized Jordan-Wigner transform. This allows to reduce the initial problem to the problem of the many-particle (fermions) interaction.

引用

页码：2079 / 2093

页数：15

共 50 条

[1] Lenz-Ising-Onsager problem in an external field as a soluble problem of many fermions
Kochmanski, MS
PHYSICAL REVIEW E, 1997, 56 (04) : 3831 - 3849
[2] Fifty years of the exact solution of the two-dimensional Ising model by Onsager
Bhattacharjee, SM
Khare, A
CURRENT SCIENCE, 1995, 69 (10): : 816 - 821
[3] Fifty years of the exact solution of the two-dimensional Ising model by Onsager (vol 69, pg 816, 1995)
Bhattacharjee, SM
Khare, A
CURRENT SCIENCE, 1996, 71 (06): : 493 - 493
[4] TWO-DIMENSIONAL FRUSTRATED ISING NETWORK AS AN EIGENVALUE PROBLEM
BLACKMAN, JA
PHYSICAL REVIEW B, 1982, 26 (09): : 4987 - 4996
[5] Exact solution of a two-dimensional random Ising model
Serva, M
PHYSICAL REVIEW E, 1997, 56 (03) : R2339 - R2342
[6] EXACT SOLUTION FOR A LAYERED TWO-DIMENSIONAL ISING LATTICE
GLAZMAN, LI
TSUKERNIK, VM
JETP LETTERS, 1980, 31 (07) : 381 - 384
[7] A solution to the two-dimensional findpath problem
Vanualailai, J
Ha, JH
Nakagiri, S
DYNAMICS AND STABILITY OF SYSTEMS, 1998, 13 (04): : 373 - 401
[8] ON THE SOLUTION OF THE TWO-DIMENSIONAL INVERSE PROBLEM
TIMOSHKOVA, EI
VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA, 1989, (03): : 115 - 119
[9] On the two- and three-dimensional Ising-Onsager problem in presence of magnetic field
Kochmanski, MS
ACTA PHYSICA POLONICA B, 1997, 28 (05): : 1071 - 1085
[10] On the two- and three-dimensional Ising-Onsager problem in presence of magnetic field
Acta Phys Pol Ser B, 5 (1071):

← 1 2 3 4 5 →